Rewrite the quadratic function in vertex form.
Y=2x^2+4x-1

Answers

Answer 1

Answer:

[tex]\large\boxed{y=2(x+1)^2-3}[/tex]

Step-by-step explanation:

The vertex form of an equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

We have

[tex]y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)[/tex]

We must use the formula: [tex](a+b)^2=a^2+2ab+b^2\qquad(*)[/tex]

[tex]2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)[/tex]

Use the distributive formula a(b + c) = ab + ac

[tex]2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3[/tex]


Related Questions

What is 10 minutes before 9

Answers

10 minutes before 9 is 8:50. since any time on the hour is at a perfect 60 minutes, you subtract the minutes given and move 1 hour back to find your answer.
for example, if you were asked what 20 minutes before 10 was. you start by subtracting 20 from 60. 60-20= 40, this being your minutes. 10-1 is 9, this being your hour, making the final answer 9:40.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

To figure this out, you need to understand that there are 60 minutes in an hour

Subtract 10 from this value:

60 - 50

As it isn't 60 minutes, it wouldn't be 9 anymore

9-1 = 8

The correct answer would be: 8:50

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

A rectangle is 2/5 inches long and 1/3 inches wide. WORTH 20 POINTS!!!!!



What is the area of the rectangle?



Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

2/15 inches squared

Step-by-step explanation:

Area = L * W

2/5 * 1/3 =

2 * 1 = 2

5 * 3 = 15

= 2/15 inches squared

What we do is find area

Area of rectangle=(l*w)

length=2/5

width=1/3

Area=2/5*1/3

Answer=2/15

Answer=2/15

Simplify -3 over 5 divided by 7 over 6.

A = -7 over 10
B = -18 over 35
C = 18 over 35
D = 7 over 10

Answers

Answer:

Simplify:

-3/5 ÷ 7/6

Step-by-step explanation:

1. To solve you have to switch the ÷ to x, but once you do that 7/6 would be switched too:

-3/5 x 6/7

2. Simplify,

-18/35

So, the answer to this is B.

Hope this Helped!!!!!

~Shane

The answer is b. ........

The sum of four and the product of three and a number x.

Answers

Answer:

4 + 3x

Step-by-step explanation:

The product of three and a number x: 3 · x = 3x

The sum of four and the product of three and a number x:

4 + 3x

What is the answer to 8x^3+125 by factoring the perfect cube?

Answers

Answer:

[tex]\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}[/tex]

Step-by-step explanation:

[tex]8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)[/tex]

harold deposits $30 a week into a savings account. hid balance in his savings account grows by a constant rate. true or false

Answers

True because he deposits 30 each week so it stays the same number each time

Point O is the center of the circle. What is the value of X?
Answer options: 24, 15, 27, 20

Answers

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

[tex](Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)[/tex]

The total measure of the secant shown is:

[tex]18+Diameter[/tex]

If the radius is 7, then the diameter is:

[tex]D=7*2=14[/tex]

Therefore:

[tex]Secant\ line=18+14=32[/tex]

You also know that:

[tex]External\ Secant\ line=18\\Tangent\ line=x[/tex]

Keeping the above on mind, you can substitute values and solve  for x:

[tex]x^{2}=32*18[/tex]

[tex]x=\sqrt{576}\\x=24[/tex]

The measure of the side length of the tangent line PQ to the circle O is 25 units

What is the measure of side length x?

From the image, Line segment PQ is a tangent line because it touches the curve at point Q.

Therefore, triangle PQO forms a right triangle.

Leg 1 of the right triangle = OQ = 7

Leg 2 of the right triangle = PQ = x

Hypotenuse = PO = 18 + 7 = 25

Now, to solve for the measure of side length x, we use the Pythagoras theorem:

PQ = √( PO² - OQ² )

Plug in the values:

x = √( 25² - 7² )

x = √( 625 - 49 )

x = √576

x = 24

Therefore, the value of x is 24.

Learn more about tangent line here: https://brainly.com/question/34884506

#SPJ3


an online retailer sells cans of tennis balls look at the first rule to find the unit rate then use the unit rate to complete the table to show the cost of ordering 100 and 250 cans.



please help as soon as possible.​

Answers

To find the unit rate, divide total cost by number of cans bought.

$30 / 12 cans = $2.50 per can.

Now multiply the unit cost by the number of cans you want to buy:

2.50 x 100 = $250.00

2.50 x 250 = $625

1. Does the data in the table below represent exponential growth or exponential decay?
Hint: Are the values in the bottom row increasing or decreasing?

A
exponential growth

B
exponential decay

Answers

Exponential decay because it is decreasing

Which of the following equations will make a V-shaped graph?

y = |x|
y = 2x
x 2 + 5 = y
y = 1/3x

Answers

Y=|x|. An absolute value has a V shape.

Final answer:

The equation that will make a V-shaped graph is y = |x|, as it plots the absolute value of x, creating a V shape by reflecting points on the positive side of the y-axis for both positive and negative values of x.

Explanation:

The student asked which of the following equations will make a V-shaped graph. The answer is y = |x|. This is because the absolute value function produces a graph that is V-shaped, reflecting the positive distance from zero for both positive and negative values of x. The other options presented, such as y = 2x, would produce a straight line; x² + 5 = y (correctly read as y = x² + 5) would produce a parabola; and y = 1/3x would also result in a straight line, just with a different slope. Only the graph of y = |x| has the distinct V shape as it plots the absolute value of x, meaning it reflects the points on the positive side of the y-axis for both positive and negative values of x.

Which expression is equivalent to

Answers

I believe D. Shows it’s multiplying 7 five times and the bottom is multiplying two times

Answer:

[tex]\dfrac{7.7.7.7.7}{7.7}[/tex]

Step-by-step explanation:

Finding the expression of the value [tex]\dfrac{7^{5} }{7^{2}}[/tex] is just like taking the spread out value of the two variables raised to their exponents.

[tex]\dfrac{7^{5}}{7^{}}=\dfrac{7.7.7.7.7}{7.7}[/tex]

So if we multiply all the values together we get:

=[tex]\dfrac{16807}{49}[/tex]

=343

This method is just one of the methods that can be used to finding the quotient of a variable raised to an exponent.

Start with the standard formula for the area of a triangle, and rewrite it to solve for the base, b.

Answers

Answer:

2A/h = b

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

Answer:

b=2A/h

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

 

 2*1/2 bh = 2A

bh = 2A

Divide each side by h

 

bh/h = 2A/h

b = 2A/h

A rhombus has one diagonal that is 14 centimeters long and one diagonal that is 12. What is the area of the rhombus?

Answers

Answer:

168

14 times 12

The answer would be 168

sharon is 3 years old less than twice her younger brother's age. Let (s) repressent sharons age and (b) repressent her brother's age. which equation could be used to show sharons age?
A: s = 3-2b
B: b = 2x-3
C: s = 2b-3
D: b = 3 -2x
E: s = 3b-2

Answers

If Sharon is 3 years younger, then it's s = 3-b. However, it's twice her brothers age, which makes the formula our final answer, A, or [tex]s = 3 - 2b[/tex]

The correct option is A

Write an expression that, when simplified is equivalent to 15x +7

Answers

Answer:

2(7.5x+3.5)

Step-by-step explanation:

I can't remember what these equations are actually called, however in order to solve this you simply multiply 7.5 by 2, and then 3.5 by 2.

The graph of an equation representing a direct variation passes through the point (6, 10). Give another point with integral coordinates that is also on the graph of this equation.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{6},\stackrel{y}{10})\qquad \textit{we know that } \begin{cases} x=6\\ y=10 \end{cases}\implies 10=k6\implies \cfrac{10}{6}=k\implies \cfrac{5}{3}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{5}{3}x}[/tex]

to get another point, we simply can pick a random independent variable, namely "x", say hmmmm x = 9, thus

[tex]\bf y=\cfrac{5}{3}(\stackrel{\stackrel{x}{\downarrow }}{9})\implies y=5\cdot \cfrac{9}{3}\implies y=10~\hspace{7em}\boxed{(9, 10)}[/tex]

Final answer:

To find another point with integral coordinates on the graph of the equation representing a direct variation, we can use the given point (6, 10) and the fact that the equation represents a direct variation. By finding the value of the constant of variation, we can substitute an integral x-value to find the corresponding y-value for another point on the graph.

Explanation:

To find another point with integral coordinates on the graph of the equation representing a direct variation, we need to use the given point (6, 10) and the fact that the equation represents a direct variation. A direct variation equation has the form y = kx, where k is the constant of variation. In this case, we can use the given point to find the value of k. When x = 6 and y = 10 in the equation y = kx, we can substitute these values to solve for k: 10 = k * 6. Solving for k, we get k = 10/6 = 5/3.

Now that we know the value of k, we can find another point with integral coordinates. Let's try x = 3. Using the equation y = kx, we can substitute x = 3 and k = 5/3 to find y: y = (5/3) * 3 = 5.

So, another point with integral coordinates on the graph of the equation representing a direct variation is (3, 5).

find the area of equilateral triangle of side 4 cm.​

Answers

Answer:6.928

Step-by-step explanation: formula A=√ 3*(side^2/4)

Answer:

The area would be 7 cm

Step-by-step explanation:

See the image

Write the ratio 14:56
In its simplest form

Answers

Answer:

14/14 = 1 and 56/14 = 4

Thus, 14:56 ratio simplified is 1:4

hope this helps:)sorry if it doesnt

brainliest plz

Emma has 5 3/8 punds of potato salad and 2 7/8 pounds of egg salad for a picnic. How many more pounds of potato salad than egg salad does Emma have? A - 3 pounds B- 2 3/4 pounds C - 2 1/2 pounds D - 2 1/4 pounds

Answers

Answer:

The correct answer option is C. [tex]2\frac{1}{2}[/tex] pounds

Step-by-step explanation:

We are given that Emma has [tex]5\frac{3}{8}[/tex] pounds of potato salad and [tex]5\frac{3}{8}[/tex] pounds of egg salad for a picnic.

We are to find out how much more pounds Emma has of potato salad than the egg salad.

To find this, we simple need to subtract the pounds of egg salad from the pounds of potato salad.

[tex]5\frac{3}{8} - 5\frac{3}{8}[/tex] [tex]=\frac{43}{8} -\frac{23}{8} =\frac{43-23}{8} = 2\frac{1}{2}[/tex] pounds

there are 5 teen age boys in the slack family. the boys drink 1 and 2 thirds of milk each day. at this rate, how many gallons of milk will the boys drink in a week?

A. 4 and 1 thirds
B. 11 and 2 thirds
C. 5 twentieth
D. 4 and 1 5th

Answers

1 2/3 × 77 14/314/3 =4 2/37+ 4 2/311 2/3

the volume of a gold bar is 100cm cubed, the density of gold is 19.3g/cm cubed so what is the mass of the gold bar

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Use this formula:

density = mass / volume

Rearrange it for mass:

mass = density x volume

Substitute the values in:

mass = 100 x 19.3

Solve:

mass = 1930g

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

How did the absent minded professor burn his ear?

Answers

He was ironing when the phone rang.

Final answer:

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. The mirror focused the sunlight onto his ear, causing it to burn.

Explanation:

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. When the professor held the mirror close to his ear and exposed it to sunlight, the mirror focused the sunlight onto his ear, causing it to burn.

The concave mirror has a curve that causes the light rays to converge at a specific point called the focal point. This concentrated light energy resulted in the burning sensation on the professor's ear.

This phenomenon is similar to using a magnifying glass to focus sunlight onto an object and create heat. The concave mirror acted as a magnifying glass, amplifying the intensity of the sunlight and leading to the ear burn.

Learn more about concave mirror here:

https://brainly.com/question/3555871

#SPJ2

Which of the following is the graph of f(x) = x2 − 4x − 5?

A. graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5

B. graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5
C. graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4
D. graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Answers

The answer is A because completing the square gives a minimum of 2,-9 and factorising gives roots of 5 and -1 :)

Answer:

Minimum at (2,-9)  and  intercepts are (-1,5)

Step-by-step explanation:

f(x) = [tex]x^2 -4x-5[/tex]

completing square method adding and subtracting the square of half of coefficient of 4 ,we get

f(x) = [tex]x^2 -4x+4 -4 -5[/tex]

f(x) =[tex](x-2)^2 -9[/tex]

on comparing it with standard vertex form [tex](x-h)^{2} +k[/tex]

                                 where k is suppose to be the minimum value

on comparing  it we get  k = -9

which is minimum value of f(x)

at x =2

and if we find the zeros of

[tex]x^2 -4x-5[/tex] ,we get

[tex]x^2 -5x+x -5[/tex]

[tex]x^2 -4x-5[/tex]

x(x-5)+1(x-5)

(x+1)(x-5)

on setting it equals zero ,we get

x+1 =0 and x=5

x =-1 and x=5

therefore option A is answer

Minimum at (2,-9)  and  intercepts are (-1,5)

Louis found two bakeries to provide bagels for his sub shop. The first bakery offers 350 bagels for $168.00 and the second bakery offers 475 bagels for $209. How much will Louis pay for 800 bagels if he buys from the bakery with the lower price?

Answers

Answer:

$352

Step-by-step explanation:

Find out the price of one bagel by dividing the price by the number of bagels:

350 Bagels = $168

1 Bagel = $0.48

475 Bagels = $209

1 Bagel = $0.44

0.48 > 0.44

This means the second bakery has the lower price.

Louis wants 800 bagels, so multiply the price by 800.

0.44 * 800 = $352

You can check it's lower by comparing it with the first bakery.

0.48 * 800 = $384

384 > 352

Evaluate the exponential function f(x)=8^x+1 Which value completes the table?
A.0
B.3
C.9
D.25

Answers

i believe the right answer is C

The value of exponential function, which completes the table for variable x at 1/3 is 3. The option B is correct.

What is exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable.

The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=a^x[/tex]

Here, [tex]x[/tex] is the variable in the power of a number.

Given information-

The given exponential function in the problem is,

[tex]f(x)=8^x+1[/tex]

The value of function at the value of variable x as 1/3 has to be find to complete the table. Put 1/3 in the above equation on the place of x as,

[tex]f(x)=8^{\frac{1}{3}}+1[/tex]

The number 8 can be written as the [tex]2^3[/tex]. Thus,

[tex]f(x)=(2^3)^{\frac{1}{3}}+1\\f(x)=(2)^{\dfrac{3\times1}{3}}+1\\f(x)=(2)^1+1\\f(x)=2+1\\f(x)=3[/tex]

Thus the value of exponential function, which completes the table for variable x at 1/3 is 3. The option B is correct.

Learn more about the exponential function here;

https://brainly.com/question/15602982

Help, please!

Show how the GCF of the numbers 10 and 15 can be used to reduce the fractions [tex]\frac{10}{15}[/tex]

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The greatest GCF is 5 because 5 goes into 15, and 10. Therefor, the answer would be 2/3.

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer:

Step-by-step explanation:

Find all the factors of 10 and 15.

Factors of 10: 1, 2,     5, 10

Factors of 15: 1, 2, 3, 5,      15

The highest factor that is in both 10 and 15 is 5.

To reduce the fraction 10/15, divide both the numerator and denominator

by 5.

10/15 = (10 ÷ 5)/(15 ÷ 5) =

Solve -9.4 > 1.7x + 4.2. I need this ASAP

Answers

Hello.

We are solving -9.4 > 1.7x + 4.2.

First we need to swap sides:

[tex]1.7x + 4.2 = -9.4[/tex]

Now we need to subtract 4.2 from both sides.

1.7x + 4.2 = -9.4

        -4.2 .  -4.2

Now let's combine -4.2 + 4.2 which is 0.

We get 1.7x < -9.4 - 4.2

Now let's divide both sides by 1.7

1.7x | -13.6

1.7     1.7

x < -13.6

      1.7

So we just divided to get x < -8.

Answer:

[tex]\boxed{\bold{x<-8}}[/tex]

Step By Step Explanation:

Switch Sides

[tex]\bold{1.7x+4.2<-9.4}[/tex]

Multiply Both Sides by 10

[tex]\bold{1.7x\cdot \:10+4.2\cdot \:10<-9.4\cdot \:10}[/tex]

Refine

[tex]\bold{17x+42<-94}[/tex]

Subtract 42 From Both Sides

[tex]\bold{17x+42-42<-94-42}[/tex]

Simplify

[tex]\bold{17x<-136}[/tex]

Divide Both Sides By 17

[tex]\bold{\frac{17x}{17}<\frac{-136}{17}}[/tex]

Simplify

[tex]\bold{x<-8}[/tex]

How many cubes are needed to fill the rectangular prism PLZ HUUURRRRRYYYYYY

Answers

7x4x2.5=70

70/0.5=140 cubes

When making a telephone call using a calling card, a call lasting 5 minutes cost $0.95. A call lasting 13 minutes cost $1.75. Let y be the cost of making a call lasting x minutes using a calling card. Write a linear equation that models the cost of making a call lasting x minutes.

A. y = 10x - 981/20
B. y = -0.1x + 1.45
C. y = 0.1x + 0.45

Answers

Final answer:

The linear equation that models the cost of making a call lasting x minutes using a calling card is y = -0.1x + 1.45.

Explanation:

To write a linear equation that models the cost of making a call lasting x minutes using a calling card, we can use the given information about two calls. If a 5-minute call costs $0.95 and a 13-minute call costs $1.75, we can set up two equations:

0.95 = 5m + b

1.75 = 13m + b

Solving these equations, we find that m = -0.1 and b = 1.45. Therefore, the linear equation that models the cost of making a call lasting x minutes is y = -0.1x + 1.45.

4x+5=2x+6 (what is x?)

Answers

I have no clue what x is

Answer:

x = 1/2

Step-by-step explanation:

Subtract 2x from both sides

4x + 5x - 2x = 6

Combine 4x and -2x to get 2x.

2x + 5 = 6

Subtract 5 from both sides.

2x = 6 - 5

Subtract 5 from 6 to get 1.

2x=1

Divide both sides by 2.

x = 1/2

Other Questions
may somebody help me please Sarah Wood and her husband have agreed to purchase a house for $87,500.00. Washington Savings and Loan is willing to finance the purchase but requires a $5,000.00 down payment and closing costs of 3 percent of the amount of the mortgage loan. What are the total closing costs? A home appliance salesperson wants to earn a total of 3,600 next month including his base salary and commissions. He earns a base salary of $800 per month and earns 20% commission for all sales in that month. What is the value of the merchandise that the salesperson must sell to reach his goal? What impact does the level of formality of a website have on the audience? Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences. graph of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2 can someone answer this riddle worth alot and who ever can get this will get brainlist okay so if there where 10 fish and 5 drown how much is left..... Miguel tells about his hopes for his trip to El Paso. Complete the paragraph with the correct subjunctive form of each verb in parentheses. Quiero que nosotras ____________________ (conocer) este parque muy bien. What is the value of x so that the line segment with endpoints W(x, 2) and X(5, 4) is parallel to the line segment with endpoints Y(2, 2) and Z(5, 6)? x equals six start fraction one over two end fraction x = 6 x equals three start fraction one over two end fraction x = 7 The amount of time t (in hours) that it takes to fill a swimming pool varies inversely with the pumping rate r(in kiloliters per hour). The constant of variation is 4. Find how long it will take to fill the pool when the pumping rate is 3.2 kL/hrA.) 12.8 hrsB.) 1.25 hrs - APEXC.) 7.2 hrsD.) 0.8 hrs cell walls eukaryotic heterotrophic usually multicellular Which characteristic BEST indicates that the organism in question is a fungus, not a plant? A)cell walls B)eukaryotic C)heterotrophic D)usually multicellular Is the point (-10, -34 ) on the line y=3x-4 Show how you know What is population density? What does a population density map show? Based on your knowledge of Latin prefixes, select the word that would best complete this sentence.Taja responded with an __________ "neither!" when she was given a choice between spinach and peas.a) extravagant b)irrationalc)indelibled)emphatic BEST ANSWER = BRAINLIESTHow much is a "serving" of each? (Answers are 1/2, 3/4, 1 or 2-3.) Use digits to express your answers.a0ounce of cold cereala1cup of cooked cereal, rice, or pastaa2bowl of salada3medium piece of fruit, or potatoa43/4 cup of vegetable juicea5cup of milk or yogurta6ounce of cheesea7cup of ice creama8ounces of meat, fish or chickena9egga10cup of cooked dry beanstext:Grains. Bread and grains provide the body with carbohydrates, vitamins, minerals, proteins, and fiber. The body needs six or more servings each day from this food group. It is important to eat the right kind of carbohydrates, like whole grains, pasta and cereals. Breads and grains that are high in sugar should be avoided. A serving from the bread and grain group might be one piece of bread, one ounce of cold cereal or one-half cup of cooked cereal, rice, or pasta. Because of the extra nutrients and fiber in whole grains, it is important that half of your daily servings of grains are composed of whole grains.Vegetables. Eat your Veggies! Vegetables are also good sources of carbohydrates, vitamins, minerals, fiber, and some proteins. They supply the body with Vitamins C and A. Green and red vegetables like broccoli, green peppers, and tomatoes tend to be high in Vitamin C. Yellow and orange vegetables are good sources of Vitamin A.Three to five servings of vegetables a day are recommended. A serving of vegetables could be a bowl of salad, a medium potato, three-fourths of a cup of vegetable juice, or one-half of a cucumber.Fruit. The fruit food group supplies the body with vitamins, minerals and carbohydrates. The good thing about fruit is that it tastes sweet but doesn't contain any fat. Fruits like oranges, lemon and grapefruit are good sources of Vitamin C. Vitamin C maintains the health of blood vessels, among other functions, and should be ingested daily. Fruits like watermelon, papaya and cantaloupe contain Vitamin A. The primary function of Vitamin A is to maintain normal vision. Dried fruits can provide the body with iron and potassium. In addition to containing vitamins and minerals, fruits are high in carbohydrates and fiber. Fiber (bulk, roughage) helps your body's digestive system to work smoothly. It is recommended that you eat 2 to 4 servings of fruit each day. One medium piece of fruit or one-half cup of juice constitutes a serving of fruit.Dairy. Have you ever wondered why your parents insist that you drink milk? Milk is part of the dairy group, which supplies the body with vitamins, minerals, fats and a complete protein. Milk, if fortified, is a good source of Vitamins D and A. But most importantly, milk supplies the body with calcium. Calcium enables your bones to grow. It also keeps them strong. Other dairy products included in this food group are ice cream, cheese, yogurt and cottage cheese. As a growing person you should eat 3 servings of low fat dairy products each day. A serving is equal to 8 ounces of milk, 1 ounce of cheese, 1 cup of yogurt or one-half cup of ice cream.Protein. Meat and beans provide the body with proteins, fats, vitamins and minerals. It is recommended that you eat about 2 servings a day from this group, which includes red meat, chicken, fish, nuts, and beans. Here are some examples of a serving: 2-3 ounces of meat, fish or chicken; one egg; one-half cup of cooked dry beans; 2 tablespoons of peanut butter; 1/3 cup of nuts; 1 ounce of lean meat.Be careful when choosing a piece of meat. Try to eat meats that are low in fat. If a piece of beef or pork chop has a strip of fat, cut it off. Also, when your mom buys hamburger meat, ask her to pick the leanest. Eating fish a couple times a week is suggested for a healthy diet. Your body will thank you for it.Oils and Empty Calories. What food group does chocolate belong to? Like salad dressing, syrup, and butter, chocolate is considered an "extra." Extras, like junk food, are those foodstuffs that enhance flavor, but do not add significantly to nutritional value. These foods should be kept to a minimum because they are usually high in fat and/or sugar. However, if you choose to eat too many foods or beverages that are high in fat and/or sugar you have a greater risk of being overweight or obese and are at an increased risk for chronic diseases. Some of the diseases include heart disease, high blood pressure, diabetes, and certain cancers (U.S. Food and Drug Administration). Can you use first person or second person in an informative essay? The graph shows the function f(x)=12x+26 and g(x)=(15)x+2+3 . What are the solutions of the equation 12x+26=(15)x+2+3 ? Will mark BRAINLIEST!!!! I was very pleased to run into you yesterday at the grocery store and would love to meet with you again to continue our conversation A phone company wants to know if its customers are satisfied with their service. 100 people are surveyed. The results show that 40 people are satisfied. There are 1,200 people the company services. About how many people are satisfied with their service? A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates a 32 angel with the ground. What is the approximate height of the building? Round your answer to the nearest meter Steam Workshop Downloader