which is the graph of the function y=4x^2-8x+7

    \(\large\boxed{\sf inverse \ variation}\)

           \(\sf \large\boxed{\sf xy = 12}\)

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

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

Explanation:  

Notice that for each column, the x & y values multiply to 12.

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.

Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

A: 4 hours

Step-by-step explanation:

Its easier then it may look!

32 m(iles) diveded by 8mph (miles per hour)

= 4 h(ours)

Let me know if its correct or not!^^

If not, I'm sorry!

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

To learn more about the exponential function;

https://brainly.com/question/14344314

#SPJ1

Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).

Learn more about Linear, Quadratic, & Exponential Models refer to :

https://brainly.com/question/29929981

#SPJ1

Answer:

A=Pier^2

a=pie2.5^2

a=19.63

A=Pier^2

a=pie2^2

a=12.57

19.63 - 12.57

=7.07

B

Answer:

Please capture and post the picture of your question.

Answer:

  f(x) = 2 -2^x

Step-by-step explanation:

The graph has a horizontal asymptote at y = 2. It has a slope that doubles in each unit interval. This tells you it is an exponential function with a base of 2, and a vertical translation of 2. The curve downward, rather than upward, means the function has been reflected across a horizontal line.

__

An exponential function of the form ...

  y = a·b^x

will have a horizontal asymptote at y=0. The asymptote here is y=2, so 2 has been added to the function value.

The slope of the above function (y=a·b^x) will be multiplied by a factor of 'b' when x increases by 1. Your graph has a slope (rise/run) of -1 for x between 0 and 1, a slope of -2 for x between 1 and 2, and a slope of -4 between x=2 and 3. This behavior indicates that b=-2/-1 = -4/-2 = 2.

The function so far looks like ...

  y = a·2^x +2

Using x=0, we can find the value of 'a'.

  1 = a·2^0 +2

  -1 = a . . . . . . . . subtract 2

Then the function is ...

  f(x) = -2^x +2

Answer:

Step-by-step explanation:

150 students/3 classes= 50 students per class

Answer:

£11564.54

Step-by-step explanation:

100 + 3.3 = 103.3%

103.3% = 1..013

£11125 x 1.013^3 = £11564.54

I hope this helped you!

Answer:

-1 or 1

Step-by-step explanation:

^

Answer:

how many ninths are there in 9 2/3

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

To learn more about angles visit:

https://brainly.com/question/98924

#SPJ1

The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

(x,y) is in the Quadrant II.

Step-by-step explanation:

The Quadrant II contains the x-values that are less than 0 (negative x-values), while the y-values are greater than 0 (positive y-values). Therefore, if x < 0 and y > 0, then point (x, y) must be somewhere in Quadrant II of the Cartesian Plane.

Please mark my answers as the Brainliest if my explanations were helpful :)

The estimated volume of the region obtained by rotating y = √(1 + 6x³) about the y-axis using the Midpoint Rule with n = 5 is 0.702 cubic units.

To use the Midpoint Rule to estimate the volume V, we first need to divide the interval [0, 1] into n subintervals of equal width. In this case, n = 5, so we have:

Δx = (1 - 0)/5 = 0.2

Next, we need to find the midpoint of each subinterval. The midpoints are:

x₁ = 0.1

x₂ = 0.3

x₃ = 0.5

x₄ = 0.7

x₅ = 0.9

Now we can evaluate the function y = √(1 + 6x³) at each midpoint to get the heights of the cylinders that will make up the approximate volume V:

y₁ = √(1 + 6(0.1)³) ≈ 1.027

y₂ = √(1 + 6(0.3)³) ≈ 1.247

y₃ = √(1 + 6(0.5)³) ≈ 1.466

y₄ = √(1 + 6(0.7)³) ≈ 1.687

y₅ = √(1 + 6(0.9)³) ≈ 1.908

Finally, we can use these heights to calculate the volumes of the cylinders and add them up to get an estimate of V:

V ≈ π(Δx/2)²(y₁ + y₂ + y₃ + y₄ + y₅)

≈ π(0.1)²(1.027 + 1.247 + 1.466 + 1.687 + 1.908)

≈ 0.702

Learn more about midpoint rule here: https://brainly.com/question/2257264

#SPJ1

The quotient of the given problem using laws of exponents is; 6 * 10⁰

We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.

This is;

(30 * 10⁻²⁴)/(5 * 10⁻²⁴)

Now, we can break this down into like terms to get;

(30/5) * (10⁻²⁴/10⁻²⁴)

= 6 * 1

Now, 1 can also be written as;

10⁰ = 1

Thus, the solution of the given problem is; 6 * 10⁰

Read more about Law of Exponents at; https://brainly.com/question/11761858

#SPJ1

Answer:

y = x ÷ x

Step-by-step explanation:

x = 13

y = 13 ÷ 13

y = 1

so y = x ÷ x

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

Learn more about amplitude on

https://brainly.com/question/3613222

#SPJ1

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Read more about functions at

https://brainly.com/question/28532394

#SPJ1

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

for similar questions on cookie

https://brainly.com/question/28385335

#SPJ11

Answer:

\(m=-2\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-1-3}{-1-(-3)}\)

\(m=\frac{-4}{-1+3}\)

\(m=\frac{-4}{2}\)

\(m=-2\)

Answer:

The exact same from when it went up

Step-by-step explanation:

it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head

The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ1

Answer:

144 km

Step-by-step explanation:

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

Learn more about surface area click;

https://brainly.com/question/29298005

#SPJ1

Answer:

Step-by-step explanation:

8.008.009

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2