Match each set of points with the quadratic function whose graph passes through those points.
f(x) = x2 − 2x − 15
f(x) = -x2 − 2x + 15
f(x) = -x2 + 2x − 15

(0,-15), (1,-14), (2,-15)
(-2,15), (-1,16), (0,15)
(-3,0), (0,-15), (5,0)

The I-value of the solution of the given system of equations is -2.

The I-value of the solution of the given system of equations can be found by solving the equations simultaneously.

We can solve the system of equations using the method of substitution or the method of elimination. In this case, let's use the method of substitution.

First, solve one equation for x in terms of y or vice versa. Let's solve the second equation for x:

3x - y = -11  => 3x = y - 11  => x = (y - 11)/3

Now substitute this value of x into the first equation:

x + 3y = 13  => (y - 11)/3 + 3y = 13  => (y - 11 + 9y)/3 = 13  => 10y - 11 = 39  => 10y = 50  => y = 5

Finally, substitute the value of y back into one of the original equations to find the value of x. Let's substitute y = 5 into the second equation:

3x - 5 = -11  => 3x = -6  => x = -2

Therefore, the solution to the system of equations is x = -2 and y = 5. The I-value of the solution is x, so the I-value is -2.

Final answer:

To determine the I-value for the given equations, we apply algebraic methods to solve for x and y; however, it's not possible to find an I-value without further context as I typically represents current in electrical engineering.

Explanation:

To find the I-value of the solution to the system of equations x + 3y = 13 and 3x - y = -11, we can use the method of substitution or elimination. However, the question seems to be a mix of content as it initially presents equations that are typical of algebra but then refers to finding a value for I1 which is more in line with physics or engineering contexts, particularly with circuit analysis where I represents current. Since we are given two standard linear equations, we will solve them as algebraic expressions to find the values of x and y.

Solution:

First, we solve one of the equations for one variable and then substitute it into the other. Let's solve the first equation for x:

x = 13 - 3y

Next, we substitute this expression for x in the second equation:

3(13 - 3y) - y = -11

Simplify and solve for y:

39 - 9y - y = -11

-10y = -11 - 39

-10y = -50

y = 5

Now, substitute y into the expression we found for x:

x = 13 - 3(5)

x = 13 - 15

x = -2

The solution to the system of equations is x = -2 and y = 5. If the variable I is meant to represent the current in a circuit, this solution does not directly provide the I-value without additional context of the circuit's parameters.

Semd a pic of a graph bc I dont have paper

The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.

The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).

2 is correct, because:

1) we have a close interval

2)we must have node on x=-5

Answer:

1260

Step-by-step explanation:

Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.

By rounding 0.65 to the nearest tenth and 1754 to the nearest hundred, we get 0.7 and 1800 respectively. Multiplying these gives an estimated product of 1260.

To estimate the answer by rounding the first number to the nearest tenth and the second number to the nearest hundred, we start by determining the rounded numbers. The number 0.65 rounded to the nearest tenth is 0.7, and the number 1754 rounded to the nearest hundred is 1800. Multiplying these two rounded numbers together gives us 0.7 × 1800 = 1260.

Therefore, by rounding before multiplying, we can estimate that 0.65 × 1754 is approximately 1260. This estimation technique helps simplify calculations and is very useful when an exact answer is not required, especially when dealing with large numbers or calculations that would otherwise be complex.

Answer:

(144) is the homogeneous mixture

Answer:

Ac = 144

Step-by-step explanation:

From the figure we can see two similar triangles,Ratio of sides of similar triangles are equal.

To find the value of x

From the figure we can write,

7/84 = x/(156 - x)

1/12 = x/(156 - x)

156 - x = 12x

13x = 156

x = 156/13 = 12

To find the value of AC

AC = 156 - x

 = 156 - 12

 = 144

Therefore AC = 144

Answer:

C

Step-by-step explanation:

If two events are independent, the probability of both happening are:

P(A and B) = P(A) × P(B)

In this case, if rain and lightening were independent:

P(rain and lightening) = P(rain) × P(lightening)

P(rain and lightening) = 0.45 × 0.45

P(rain and lightening) = 0.2025

However, we're told that P(rain and lightening) is 0.25, not 0.2025.

Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.

Answer:

yea it can

Step-by-step explanation:

Final answer:

A table can simultaneously display yes/no (Boolean) and numeric data. Yes/No fields in databases are often checkboxes representing binary choices, while other columns can store numeric data. The data types assigned to these fields determine how they are sorted and displayed in the table.

Explanation:

Yes, it is entirely possible for a table to display both yes/no and numeric data at the same time. The yes/no data is often referred to as binary, Boolean, or Yes/No datatype, and in databases, it commonly appears as a checkbox. These Yes/No fields contain only two possible values, such as Yes/No, True/False, or On/Off. On the other hand, the numeric data represents quantitative information that can be measured and written down with numbers.

Tables are quite versatile and can conveniently organize complex numerical information, alongside qualitative categories, in a structured format using rows and columns. For example, a table can be used to compare different models of a product using criteria represented by both text and numbers, such as product features ('Yes' for having a feature and 'No' for not having it) and specifications like price or weight (numeric data).

It's important to keep in mind that when designing a database, every field is assigned a datatype based on what type of data it holds. For fields containing text, a 'text' datatype is used; whereas for fields containing numeric values, a 'number' datatype is chosen. The datatype affects how the data is sorted and processed within the table.

Answer:

You multiply the L, W, and H. that should you to your answer!

Hope this helps! :)

Step-by-step explanation:

Yup (l x w x h) = volume of prism.

(L x w) = area

Answer:

-216 x^3

Step-by-step explanation:

(-6x)^3

This is really (-6x)* (-6x) * (-6x)

-216 x^3

Answer:

Part 1) The surface area is [tex]SA=35.1\ cm^{2}[/tex]

Part 2) The volume is equal to [tex]V=12.15\ cm^{3}[/tex]

Step-by-step explanation:

The question in English is

The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume

Part 1) Find the surface area

The surface area is equal to

[tex]SA=2B+Ph[/tex]

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

[tex]B=(1.5)(1.8)=2.7\ cm^{2}[/tex]

Find the perimeter of the base P

[tex]P=2*(1.5+1.8)=6.6\ cm[/tex]

we have

[tex]h=4.5\ cm[/tex]

substitute the values

[tex]SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}[/tex]

Part 2) Find the volume

The volume is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height of the prism

we have

[tex]B=2.7\ cm^{2}[/tex]

[tex]h=4.5\ cm[/tex]

substitute

[tex]V=(2.7)(4.5)=12.15\ cm^{3}[/tex]

Answer:

I'm pretty sure the answer is 43

because you have to minus 2 from the girls each time to get the boy answer. Hope this helps :)

Step-by-step explanation:

Answer:

354.

Step-by-step explanation:

Exponential growth:

380 = 200e^(k*9)     where k is a constant to be found.

e^9k = 380/200 = 19/10

ln e^9k = ln 1.9

9k = ln 1.9

k = ln 1.9 / 9

k = 0.071

After 8 hours:

Number of bacteria =

200*e^(8*0.071)

= 354.

Answer:

4dg=40cg

Because dg to cg rate is 1:10

Answer:

4000 cgs

Step-by-step explanation:

This one requires 2 sets of brackets. You are best to work in grams.

1 dg = 10 grams

1 cg = 0.01 grams.

I wouldn't fret about this if I were you. This is the first time I've actually used these units. Most likely if you really need them, you can just look them up.

4 dg * [10 grams / 1 dg] * [ 1 cg / 0.01 grams]

40 grams * 1 cg / 0.01 grams

= 4000 cgs.

Notice the first set of brackets get's rid of the dgs

the second set of brackets gets rid of the grams.

Answer:

x² + y² = 225

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius, so

x² + y² = 15², that is

x² + y² = 225

Answer:

The vertex that maximize the problem is (2,000,4,000)

Step-by-step explanation:

we have

[tex]z=10x+6y[/tex]

The vertex of the shaded region are

A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)

Substitute the value of x and the value of y of each vertex in the z equation to find the solution

case A) A(0,0)

[tex]z=10(0)+6(0)=0[/tex]

case B)  B(4,000,0)

[tex]z=10(4,000)+6(0)=40,000[/tex]

case C)  C(2,000,4,000)

[tex]z=10(2,000)+6(4,000)=44,000[/tex]

case D)  D(0,6,000)

[tex]z=10(0)+6(6,000)=36,000[/tex]

therefore

The vertex that maximize the problem is (2,000,4,000)

Answer:

C) (2000, 4000)

Step-by-step explanation:

Answer: Option D.

Step-by-step explanation:

By definition, the absolute value of a number is its distance from 0 on a number line. We know that the distances cannot be negative. Then:

[tex]|-a|=a[/tex]

We can assume that the water is at level 0.

We know that the diver dove from a diving platform, which is 4 feet above the water, and then she stopped at -8 feet to pick up some scallops.

This indicates that she stopped at 8 feet below the water.

Therefore, in order to find how far below the diving platform the diver is, we must add 4 feet and the absolute value of -8 feet.

Then, the expression that models this situation is:

[tex]4+|-8|[/tex]

Notice that it matches with the expression shown in Option D.

Step-by-step explanation:

[tex]f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}{c|c}x&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}[/tex]

[tex]g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}{c|c}x&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}[/tex]

f(x) = g(x) for x = 2 (look at the tables)

Answer:

  1.)  y = 1.10(x – 1) + 1.35

Step-by-step explanation:

When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...

  y = 1.10(x -1) +1.35

_____

Comment on the function rule

Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.

When x=-2

f(x) =3(-2) -12 =-6-12=-18

When x=2

f(x) = 3(2)-12=6-12=-6

So For the domain (-2,2)

Range of the function f(x) is (-18,-6)

So (-18 ,-6). is your answer.

Hope it helps....

Regards,

Leukonov/Olegion.

The range of the function f(x) = 3x - 12 for the domain (-2, 2) is (-18, -6). This is determined by finding the function's output at x = -2 and x = 2, which are the endpoints of the specified domain.

The question asks for the range of the function f(x) = 3x - 12 given the domain (-2, 2). To determine the range, we calculate the output values of the function using the endpoints of the domain.

For the lower endpoint of the domain, x = -2: f(-2) = 3(-2) - 12 = -6 - 12 = -18.

For the upper endpoint of the domain, x = 2: f(2) = 3(2) - 12 = 6 - 12 = -6.

Since the function is a straight line (which is continuous and has a constant rate of change), the range over the interval (-2, 2) is all values between f(-2) and f(2), though not including the endpoints since the domain is open. Thus, the range is (-18, -6).

The correct answer is B. (-18, -6).

[tex]\bf \cfrac{3}{4x}+\cfrac{1}{20x}\impliedby \textit{so let's use an LCD of 20x} \\\\\\ \cfrac{(5)3~~+~~(1)1}{20x}\implies \cfrac{15+1}{20x}\implies \cfrac{16}{20x}\implies \cfrac{4}{5x}[/tex]

Answer:

y = 2x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 0.8 when x = 0.4

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.8}{0.4}[/tex] = 2

y = 2x ← equation of variation

To find an equation of direct variation given that y = 0.8 when x = 0.4, we use the form y = kx to determine the constant k, which is 2. Thus, the equation of variation is y = 2x.

To find an equation of direct variation where y varies directly as x, we use the form y = kx, where k is the constant of variation.

Given that y = 0.8 when x = 0.4, we can substitute these values into the equation to find k.

Solving for k, we get k = y / x = 0.8 / 0.4 = 2. Therefore, our equation of variation is y = 2x.

19200! hope this helps! good luck

Answer:

800 yards

Step-by-step explanation:

80 x 4 + 12 x 4 = 800

Hope this helps!

Answer:

x = 42

y = 38

Step-by-step explanation:

for y:

there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°

for x :

first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°

Sorry if this was very lengthy haha

hope it helps:)

Answer:

2h+2f=10.50

4h+3f=19.50

The equation that could be used to determine the cost of the hamburgers and French fries is,

2h+2f=10.50

4h+3f=19.50

We have given that,

Aron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries.

His total cost is $10.50.

The next week, he goes with two other friends.

They order four hamburgers and three French fries.

This time the total is $19.50.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Therefore the equation that could be used to determine the cost of the hamburgers and French fries is,

2h+2f=10.50

4h+3f=19.50

To learn more about the equation visit:

https://brainly.com/question/2972832

#SPJ2

988

A year later will depreciate $294

The following year $253

On the third year $217

The fourth year. $187

And the 5th year. $161

Answer:

Step-by-step explanation:

[tex]100\%-14\%=86\%=0.86\\\\0.86\cdot\$2,100-\text{after the first year}\\0.86\cdot(0.86\cdot\$2,100)=0.86^2\cdot\$2,100-\text{after the second year}\\0.86\cdot(0.86^2\cdot\$2,100)=0.86^3\cdot\$2,100-\text{after the third year}\\\vdots\\0.86^5\cdot\$2,100\approx\$988-\text{after the fifth year}[/tex]

Answer:

[tex]\frac{17x-5826}{3x+2}[/tex]

Step-by-step explanation:

The polynomial - 18x³ + 17x + 6 is divided by 3x + 2. Then the polynomial will be - 6x² + 4x + 3.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

               - 6x² + 4x + 3

3x + 2 ) - 18x³ + 17x + 6

            - 18x³ - 12x²

                      + 12x² + 17 x + 6

                      + 12x²  + 8x

                                 + 9x + 6

                                + 9x + 6

                                     0  

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2

You need to multiply the amount it is dropping per day by the number of days, so you would have 0.3d

You would then need to subtract that amount from the current level of 25 feet.

Now you have 25 - 0.3d.

This total needs to be greater than or equal to 13 feet.

25 -0.3d ≥ 13

Answer:

B

Step-by-step explanation:

If you have the a,b,c,d

(I just did this quiz lol)

Answer:

42 yards

Step-by-step explanation

we know that

The volume of the triangular prism is equal to

where

B is the area of the triangular base

H is the height of the prism

Convert 9 Ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

Find the area of the base B

we have

substitute the values in the formula

v=BH

v=(6)(7)=42 yd

Answer:

42

Step-by-step explanation:

I believe you answer would be D

Answer:

None of them.

Step-by-step explanation:

you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have

[tex]4x>5x+2\rightarrow -2>5x-4x=x[/tex] . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.