Which function has a vertex on the y-axis?
O fx) = (x - 2)2
O f(x) = x(x + 2)
O f(x) = (x-2)(x+2)
O f(x) = (x + 1)(x - 2)

Your question was incomplete. Please refer below for the graph.

We need to know about graph of a function to solve this problem. The answer to (A) is f(4)= -3 and (B) for x= f(x)=2 solutions are -5 and -1.

In a graph of a function, the input values are along the x-axis and the output values are along the y-axis. At any point, the x-coordinate gives the value that is entered and the y-coordinate gives the result. For any point lying on the y-axis, x-coordinate is 0 and for any point lying on the x-axis, y-coordinate is 0. In the given graph we need to first find the value of f(4). For this we see at what point on the graph a vertical line from x=4 intersects with the line. The intersection point is (4,-3), so f(4)=-3. For part (B) we need to solve for f(x)=2, we have to draw a horizontal line from y=2 to see where it intersects with the graph, here we find two intersection points (-5,2) and (-1,2) so we have two solutions for f(x)=2, -5 and -1.

Therefore we evaluated f(4) to get -3 and we got two solutions for f(x)=2, -5 and -1.

Learn more about graph of function here:

https://brainly.com/question/13473114

#SPJ9

Answer:

√105/2

Step-by-step explanation:

Given the surd expression √7.5×√3.5, this can also be expressed as;

√7.5×√3.5

= √75/10 × √35/10

= √(75×35)/10×`10

=√105×25/100

= 5√105/√100

=5√105/10

=√105/2

Hence the required expression a √105/2

The cosine function that could model the block's height in inches above the ground at time t seconds is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:

2a = 18

a = 9.

A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.

The minimum and maximum values form half the period, hence:

π/B = 2.7 - 2.1

B = π/0.6

B = 1.67π.

The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.

Hence the cosine function is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.

More can be learned about cosine functions at brainly.com/question/21558626

#SPJ1

Answer: the answer is C trust me bye

Step-by-step explanation:

Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).

Step-by-step explanation:

Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.

Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).

i.e. A person can be 90% confident that  the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).

Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).

Answer:

A)  Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.

Step-by-step explanation:

took the test

Answer:

9# |  914

Step-by-step explanation:

I gotchu fam!

Stem and leaf plots separate the tens place (the stem) from all the ones places (the leaves) in a data set. Therefore, for the given data set, all the numbers with the 9 tens place are:

99, 91, and 94

Therefore, the stem and leaf plot would be

9# |  914

Answer:

5

Step-by-step explanation:

b = [tex]\frac{(a+c)}{2}[/tex]

10+6+4+4+6+4+1 = 35.

35/7 = 5

b = 5

Answer:

i want to say that your answer is going to be C. 0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge

Step-by-step explanation:

Answer:

-12x + 8 + 5x =36

-7x = 36 - 8

-7x = 28

x = 28/-7

x = -4

Answer:

-12x+5x=28

-7x=28

x= -4

Answer:

2 2/5

Step-by-step explanation:

Answer:

The answer in whole number form is  4 5/8

Step-by-step explanation:

Answer:

Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.

Step-by-step explanation:

They are all different sizes.

Answer:

$39.88

Step-by-step explanation:

She started with $17

spent $0.78 so

17-0.78 = $16.22

then she got $6.76 3.5 times so

6.76*3.5 = 23.66 and that's what her mom gave her

23.66 + 16.22 = 39.88

She now has a total of $39.88

the answer would be: 39.88

because

17-0.78=16.22

and

6.76*3.50=23.66

so

23.66+16.22=39.88

hope this helps

have a fantastic day/night

Answer:

-30

Step-by-step explanation:

-36+6=k

-30=k

k= -30

Answer:

Bottom left

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.

If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:

domain: [0, T]

range: [0, H]

The height is modeled by the graphed parabola.

The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.

Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.

For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.

So, domain: [0, T]

      range: [0, H]

If you want to learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1

Answer:

b. y = 1000x

Constant of proportionality = 1,000

Step-by-step explanation:

The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.

Where,

k = constant of proportionality.

From the three given equations, the only equation that takes the form is b. y = 1000x.

The constant of proportionality (k) of the equation = 1,000.

The translation of the parent function f (x) = | x | depends upon whether x value has been changed of whether the y value has been changed.

We are given the parent function as:

f (x) = | x |

Now, we need to match the functions with their correct translations.

For the function f (x) = | x | - 4:

This can also be written as:

f (x) + 4 = | x |

So, the translation will be vertical translation up 4 units.

For the function f (x) = | x + 4 | :

The translation for this will be horizontal translation right 4 units as x will increase by 4 units.

For the function f (x) = | x | + 4:

This can also be written as:

f (x) - 4 = | x |

So, the translation will be vertical translation down 4 units.

For the function f (x) = | x - 4 | :

The translation for this will be The translation for this will be horizontal translation right 4 units as x will increase by 4 units as x will decrease by 4 units.

Therefore, we get that, the translation of the parent function depends upon whether x value has been changed of whether the y value has been changed.

Learn more about translation here:

https://brainly.com/question/24850937

#SPJ9

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

Answer:

he ate .5 of a sandwich per minute

Step-by-step explanation:

i dont know if im right im just going to say 99% but good luck and sorry if this was late

Answer:

2 sandwiches

Step-by-step explanation

first divide 3.25 ÷ 6.5

then you get 2

so it took him 2 sandwiches per minute

hope this help you .ω.

prove

2 x 3.25=6.5

Answer:

x ≥ 2

Step-by-step explanation:

1/6(30x+18) ≥ 13

Distribute the left side

5x + 3 ≥ 13

Subtract 3 from both sides

5x ≥ 10

Divide both sides by 5

x ≥ 2

Answer:

You can find the area of a sector of a circle if you know the angle between the two radii. A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

Step-by-step explanation:

That's the answer

The measure of each angle in the given circle is 120°.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Th given circle is divided into 3 equal parts.

We know that, central angle of circle measures 360°.

Now, each angle measures =360/3

= 120°

Therefore, the measure of each angle in the given circle is 120°.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ2

Answer:

380d + 530t > 21,000

Step-by-step explanation:

Each DVD costs $380, we can represent that as:

380d

Each TV costs $530, we can represent that as:

530t

We add these together to find the total profit:

380d + 530t

The manager predicts that whatever the total profit is, will be more than $21,000. So, we represent that as this:

380d + 530t > 21,000

And that is the final answer.

I hope this helps!!

- Kay :)

Answer:

Biosphere 2 is a unique facility that allows scientists to research ecosystems and environmental effects in a controlled environment. The controlled environment of the biosphere allows researches to obviate uncontrolled variables that might have an unintended effect on their research. This allows for specific hypothesis about the environment to be tested with a higher degree of certainty. They can study how the ecosystem is affected when there are artifically induced limiting factors. The ability of the scientists to control factors in the ecosystem lets them model almost any environment on earth.

Answer:

17

Step-by-step explanation:

Given the data:

12, 18, x, 5

Average of the numbers = 13

The value of x will. Be

Sum of 12, 18, x and 5 divided by the number of data values.

Mean(average) = Σ(X) / n

n = number of values

13 = (12 + 18 + x + 5) / 4

13 = (35 + x) / 4

13 * 4 = 35 + x

52 = 35 + x

x = 52 - 35

x = 17

Answer:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20

Step-by-step explanation:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20