Becky created a graph to represent her distance away from home one afternoon . She left home and ran to the park , met some friends and stayed at the park , and then walked back home using the same route . Which graph could Becky have created ?

Answer:

Graph B has 1 real root

Graph A has a negative discriminant

Graph C has  an equation with a=1, b=4 , c=-2

Step-by-step explanation:

If we look at the graph, Graph A never crosses the x axis, so it does not have any real roots.

Graph B touches the x axis, but does not cross so it has 1 real root

Graph C crosses the x axis 2 times, so it has 2 real roots.

We know from the discriminant b^2-4ac

If the discriminant >0 it has 2 real roots, so Graph C has a positive discriminant

If the discriminant =0 it has 1 real root, so Graph B has a zero discriminant

If the discriminant <0 it has 0 real roots, so Graph A has a negative discriminant

If we have a=1, b=4 , c=-2

b^2-4ac = 4^2-4(1)(-2) = 16+8  = 24  >0  This must be Graph C

Answer:

3 would be the original number :D

Step-by-step explanation:

3x5 = 15.  15 - 3 = 12.

To solve this problem, we need to use algebra to find the value of the unknown number.

To solve this problem, we can use algebra. Let's let the number be represented by the variable x. According to the problem, 5 times x minus 3 equals 12. We can write this as the equation 5x - 3 = 12. To find the value of x, we need to isolate it on one side of the equation. Adding 3 to both sides, we have 5x = 15. Then, dividing both sides by 5, we get x = 3.

This is a basic algebraic problem. To solve it, we have to set up an equation. Let's denote the unknown number as x. According to the problem, the number (x) is multiplied by 5, and then 3 is subtracted from the result. This operation reaches the final result which is 12. Written in form of equation, it is: 5x - 3 = 12.

To solve for x, you need to isolate it on one side of the equation. First, add 3 to both sides of the equation to get rid of the -3 on the left side: 5x = 12 + 3, or 5x = 15. Then, you divide both sides by 5: x = 15 / 5. So, the value of x is 3.

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Answer:

1 3/4 = 7/4 = 1.75 miles (ran);

1.75 + 3.60 = 5.35 miles ( ran and bicycled);

average speed = 5.35 / 0.7 = 7.64 miles per hour;

The correct answer is D.

Step-by-step explanation:

Answer:

They bought 3 hot dogs and 5 drinks

Step-by-step explanation:

Well, its mostly guess and check.

x=hot dogs                   y= drinks                    x+y=8

2x + 1y =11

2(1) + 1(7) = 9 (wrong answer)

2(2) + 1(6)= 10 (wrong answer)

2(3) + 1(5) = 11 (right answer)

The reason I pick these numbers is because the x and the y need to add up to 8 and as you can see on each try they added up to 8 but it also had the equation itself had to add up to $11. So, you substitute the numbers that add up to 8 to x and y to make sure the equation equals 11.

Final answer:

Keisha and her friends purchased 3 hotdogs and 5 drinks at the concession stand. This was determined by setting up a system of equations based on the given costs for items and the total amount spent and solving for the variables representing hotdogs and drinks.

Explanation:

To solve Keisha's concession stand problem, we need to use a system of equations. Let's define two variables: x for hotdogs and y for drinks. According to the problem, the friends bought a total of 8 items for $11. The price is $2 per hotdog and $1 per drink. We can set up the following equations:

1) x + y = 8 (for the total number of items)
2) 2x + y = 11 (for the total cost)

Solving the system, we can subtract the first equation from the second to find the number of hotdogs:

2x + y - (x + y) = 11 - 8

x = 3

Now, we substitute x back into the first equation to find y:

3 + y = 8

y = 5

Therefore, Keisha and her friends bought 3 hotdogs and 5 drinks.

Answer:

w = 31

Step-by-step explanation:

To find the value of w:

 We know that the three angles in a triangle add to 180 degrees

w + w + (4w-6) =180

Add like terms

6w-6 = 180

Add 6 to each side

6w -6+6 =180+6

6w = 186

Divide each side by 6

6w/6 = 186/6

w = 31

Answer:

B.) -1.9

Step-by-step explanation:

1. Distribute 2.5(-1.4 + 5.2) to get -3.5 + 12

2. Distribute 4(-1.25) to get -5

3. -3.5 + 13 is 9.5

4. 9.5 / -5 is -1.9

Answer:

Write the expression as 3f – 2.

The value when f = 4.5 is 11.5.

Step-by-step explanation:

Let f be the number.

Then the product of the number and three is 3f.

Two less than 3f is 3f -2.

=====

f(4.5) = 3×4.5 - 2

f(4.5) = 13.5 - 2

f(4.5) = 11.5

Answer:

Write the expression as 3f  – 2.

The value when f = 4.5  is 11.5.
first and last
B and F

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

20pounds/day * 14days * 20horses

The correct expression to determine the total hay consumption by 20 horses in two weeks is 20 × (20 × 14), which equals 5,600 pounds. Thus, the correct answer to the student's question is option (B).

The question from the student involves finding the total amount of hay consumed by a group of twenty horses over a period of two weeks. This problem can be solved with a straightforward multiplication.

Since one horse eats 20 pounds of hay each day, we can calculate the total hay consumption for one horse over two weeks (which is 14 days) by multiplying the daily consumption by 14:

To find out how much hay 20 horses eat in two weeks, we multiply the amount that one horse would eat in two weeks by 20:

Hence, the correct expression and evaluation to determine the total amount of hay consumed by 20 horses in two weeks is:

Option B: 20 × (20 × 14) = 5,600

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Multiplica tres por 18

Answer:

21

Step-by-step explanation:

Since 7 x 3 is 21

And 21 x 1 is 21

Answer:

21

Step-by-step explanation:

To find the least common multiple of 7 and 21 , we need to break each number down to its prime factors

7 = 7

21 = 7*3

To find the least common multiple multiply each factor the greatest number of times it occurs in either number.

The LCM = 7*3

               = 21

Answers:

Problem 7) Decay

Problem 8) Growth

Problem 9) Growth

==========================================

Explanation:

The base of the exponent will tell us if we have growth or decay.

In general, we have an equation in the form y = a*b^x with b as the base of the exponent

We can have b = 1+r where r is the growth rate. If r is negative, then that growth is really decay (or the amount is shrinking)

For problem 7, the base is 0.04 so 1+r = 0.04 leads to r = -0.96; so the amount is shrinking or decaying by 96% each time x increases by 1.

In problem 8, we have growth because 1.4 = 1+0.40 = 1+r so r = 0.40 = 40% growth

Finally, in problem 9, we can break up the base 6 into 6 = 1+5.0 = 1+r meaning r = 5.0 = 500% growth

f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

(

f

g

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(

x

)

=

f

(

x

)

g

(

x

)

(

g

f

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)(x)=

g(x)

f(x)

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4

−

5

x

Put x = 7 and y = 6 to the equations:

-2x + y = 20

L = -2(7) + 6 = -14 + 6 = -7

R = 20

L ≠ R

Answer:

write the equation as a binomial

Step-by-step explanation:

For this case we have to, by definition:

The sum of fractions with the same denominator consists of adding the numerators and placing the same denominator.

For example:

[tex]\frac {a} {b} + \frac {c} {b} = \frac {a + c} {b}[/tex]

So:

When fractions have the same denominator, their sum also has the same denominator.

Answer:

When fractions have the same denominator, their sum also has the same denominator.

Answer:

B) 24/26

Step-by-step explanation:

The ratio of sine is opposite/hypotenuse.  This means the side opposite angle D, EF, has length 24 and the hypotenuse, DE, has length 26.

The ratio of cosine is adjacent/hypotenuse.  For cos E, we want the side adjacent to E (EF) and the hypotenuse (DE).  Using these, we have the ratio 24/26.

In DEF, sin D= 24/26  , then cos E = 24/ 26. Option B) 24/26 is correct.

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are deal with in Trigonometry.

We have,

In DEF sin D= 24/26

Using Pythagoras Theorem,

[tex]P^2 + B^2 = H^2\\\\EF^2 +FD^2 = EF^2\\\\24^2 + FD^2 = 26^2\\\\FD^2 = 676 - 576\\\\FD^2 = 100\\\\FD = 10[/tex]

But, cos E = EF / ED

cos E = 24/ 26

Hence, we can say that In DEF, sin D= 24/26  , then cos E = 24/ 26.

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Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee.  The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation.  A linear equation makes a straight line based on a constant rate of change.  For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost.  In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5.  So the slope, or cost per mile is $1.50.  To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'.  So, 15 = (1.5 x7) + b.  or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.  

Answer:

Coplanar

Step-by-step explanation:

A plane in space is given by any of the following:

Three non-collinear points (points not on a single line); a line and a point not on that line; two distinct but intersecting lines; and two parallel lines.

Since it can be defined by three points, any three points must be coplanar.

Answer b

Step-by-step explanation:

the answer is b becasue on tuesday you deliver 18 then you now have 222 cases on tuesday and on wednesday you have 204 now because you delivered 18 then on thursday you now have 186 because you delivered 18 and alltogether you delivered 54 cases in three days so 240 minus 54 equals 186 because each day you deliver 18 and 18 times 3 is 54 so 54 minus 240 eguals 186 and 186 plus 18 is 204 and 204 plus 18 is 222 so b would be the correct answer

Answer:

41000

Step-by-step explanation:

ten thousand thousand hundred tens ones.

4                              1          0            0        3

We are rounding to the nearest hundred  which is 0.  We look at the number to the right.  If it is 5 or above " give it a shove" or round up.  Since it is also a 0, we leave it alone.

41000

Answer:

41000

Step-by-step explanation:

trust me

Answer:

The only one I can do is the last one. 30 students.

Step-by-step explanation:

5 / (1/6)

30

2, 2, 25, 25, 26, 26, 27, 28, 28, 30

Minimum: 2

Maximum: 30

Median: 26

Lower quartile: 25

Upper quartile: 28

The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.

Just so you know, I didn't write this. Next time, do a google search for your answer. But in the mean time, here you go.

Answer: Number 3- The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.

Step-by-step explanation:

The following data show the prices of different types of outfits at a store:

$2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30

Which statement is correct about the box plot for the above data? (1 point)

1. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right.

2. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left.

3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.

4. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.

The two $2 at the beginning of the data are outliers. They are exceptionally lower than all the other numbers, meaning they will be alone at the beginning of the data. That is the left! Now, it is number 3 and not 4 because it makes the data skewed to the left because of the low prices, not right. The two $2 hang off to the left. Which means the answer is number 3!

3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.

Answer:

There are 15 orange picks when we have 25 picks total

Step-by-step explanation:

orange: green    : total

3               2            5

We found the total by adding the orange and the green

We have 25 total picks

25/5 = 5

We need to multiply by 5 on everything to get to 25 picks

orange: green    : total

3 *5           2*5        5*5

15                10           25

There are 15 orange picks when we have 25 picks total

Answer: There are 15 orange picks

Step-by-step explanation:

First we know that the ratio for Orange to Green is 3:2 so that for each five picks 3 of them are orange and 2 of them are green 25/5 is 5 so that means there are 5 five picks and as established every five picks is 3 orange picks we can say 3*5=15

Hello!

The answer would be C.

Hope this helps! ~Pooch ♥

Answer:Z=1

Step-by-step explanation: if it is 11z+5, then... minus 9z on each side to get 2z+5=7. Minus 5 on each side to get 2z=2. Divide bboth sides by two to get 1z=1.

You solve the equation 11z + 5 = 9z + 7 by first isolating for z terms and constant terms on opposite sides of the equality, then dividing by the coefficient of z to get z = 1.

To solve the equation 11z + 5 = 9z + 7, we need to get all the z terms on one side of the equation and the constant terms on the other side. We start by subtracting 9z from both sides to get 2z + 5 = 7. Then, subtract 5 from both sides to get 2z = 2. Finally, divide both sides by 2 to solve for z which gives us z = 1.

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Toby has to pay 22.1$ in total for the wallet.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given that, Toby found a $52 wallet on the clearance rack for 60% off.

So.

The price of wallet after discount = 52 * (1 - 60%)

The price of the wallet after the discount = 52*0.4

The price of the wallet after the discount =  20.8

Since there is a sales tax of 6.25%

Thus the purchasing Price of the wallet = 20.8(1 + 6.25%)

the purchasing Price of the wallet = 22.1

therefore,  If the sales tax is 6.25%, he will pay $22.1 in total.

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