Ms. Grant’s car gets between 20 and 22 miles per gallon, inclusive. The gasoline she uses costs between $4.20 and $4.50 per gallon, inclusive. What is the greatest amount Ms. Grant will spend on gasoline to drive her car 200 miles

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

Read mroe on quadratic graph here:https://brainly.com/question/1523847

#SPJ1

The volume of the rectangular prism given its base area and its height is 264 units³.

A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.

Volume = length x width x height

base area x height

44 x 6 = 264 units³

To learn more about rectangular prisms, please check: https://brainly.com/question/8890358

#SPJ1

Answer:

143 in^2

Step-by-step explanation:

This is a rectangular prism, not a cube.  One way in which to find the total surface area is as follows:  find the area of the top, the front and the side, add these together and multiply by 2 (since there are 2 tops, 2 sides, 2 fronts):

Surface area = 2(5*7 + 5*9 + 9*7) in^2 = 2(35 + 45 + 63) in^2 = 143 in^2

The shaded area under the normal curve is determined using the 68 - 95 - 99.7 rule to be 68.27%

The 68 95 99 rule, also known as the empirical rule in statistics, states that given normal distributions,

considering the figure and using the 68 - 95 - 99 rule, the shaded part is the reads 68% of the population and falls under the mean's 1 standard deviation.

Learn more about 68 - 95 - 99 rule at:

https://brainly.com/question/14651991

#SPJ1

Answer:

971.92 square inches of wrapping paper.

Step-by-step explanation:

Please find the attachment for detail

Step-by-step explanation:

x×1/2×1/4×3/4

x×3/32

3/32x

Answer:

1/3

Step-by-step explanation:

Slope is always represented by m in the equation y=mx+b. Therefore, the value that is attached to the x is always the slope.

Answer:

m=1/2

Step-by-step explanation:

The equation is in slope-intercept form, or

y=mx+b

where m is the slope and b is the y-intercept.

Essentially, the number that is multiplied by x is the slope, and the number that is added or subtracted from the term with an x is the y-intercept.

We are given the equation:

y=1/3x+22

1/3 is being multiplied by x (1/3*x=1/3x). Therefore, it must be the slope.

22 is being added to 1/3x (+22). Therefore, it must be the y-intercept.

m=1/3

b=22

The slope of the line is 1/3.

a) the slope is 40, in this case, it represents that for each day that passes, the balance increases by $40.

b) slope-intercept form is:

y = 40*x + 600

In standard form it is:

y - 40x = 600

In point-slope form is:

y - 720 = 40*(x - 3)

c) f(x) = 40*x + 600

d) After 7 days the balance is $880

By using the given table, we can see that the first two pairs are:

(0, 600) and (3, 720).

With the quotient between the difference of the y-values and the difference of the x-values we can find the slope:

Slope = (720 - 600)/(3 - 0) = 120/3 = 40

So the slope is 40, in this case, it represents that for each day that passes, the balance increases by $40.

b) The equation of the line in the slope-intercept form is:

y = 40*x + 600

In standard form it is:

y - 40x = 600

In point-slope form is:

y - 720 = 40*(x - 3)

c) Using the slope-intercept form we can write:

y = f(x) = 40*x + 600

d) We just need to evaluate the function above in x = 7

f(7) = 40*7 + 600 = 880

The balance after 7 days is $880.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

Answer:

Step-by-step explanation:

16 × 19 = 304

1/2(19×9)=85.5

304-85.5= 218.5

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

Answer:

Step-by-step explanation:

Answer:

Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial

Step-by-step explanation:

The polynomial -10x is a first-degree polynomial and consists of one term.

The polynomial -10x can be named based on its degree and number of terms.

Degree: The degree of a polynomial is determined by the highest exponent of the variable in the expression. In this case, the highest exponent of the variable 'x' is 1. Since there is no 'x^2', 'x^3', or any higher power of 'x', the degree of the polynomial is 1.

Number of terms: The number of terms in a polynomial is determined by how many separate expressions are added or subtracted together. In -10x, there is only one term, which is -10x.

So, we can name the polynomial -10x as:

Degree: 1 (since the highest exponent of 'x' is 1)

Number of terms: 1 (since there is only one term)

In summary, the polynomial -10x is a first-degree polynomial and consists of one term. It does not have any constant term (a term with no 'x') and contains only the term -10x, which has a coefficient of -10 and a variable of 'x'.

To know more about polynomial:

https://brainly.com/question/11536910

#SPJ6

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The distance between two points is given by the following formula:

Where (x1,y1) and (x2,y2) are the coordinates of the two points.

By replacing the known values we can solve for d as follows:

Therefore, the distance between (5,6) and (5,8) is 2.

Answer:

I'm stuck on the same question

Step-by-step explanation:

Answer:

Step-by-step explanation:

F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

From the question,

We have that,

Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let a represent the acceleration and F represent the force exerted

Them we can write that

F ∝ a

Introducing a constant, m, which is the mass of the object

Then, we get

F = ma

From the question,

If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N

We will the determine the mass, m, of the object using the above formula

F = ma

We have that

a = 3 m/s²

F = 15 N

Using

F = ma

Then,

15 = m × 3

m = 15÷3

∴ m = 5kg

Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²

Using the same formula

F = ma

a = 7 m/s²

m = 5 kg

∴ F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

Learn more here: https://brainly.com/question/20357188

The required value of x is 3 in the given equilateral triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The triangle given in the figure is an equilateral triangle.

We know that all sides are equal in the equilateral triangle.

As per the given figure,

side AB = side AC

6x - 3 = 3x + 6

6x - 3x = 6 + 3

Apply the arithmetic operation,

3x = 9

x = 9/3

x = 3

Therefore, the required value of x is 3 in the given equilateral triangle.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ1

Answer:

y=x and y=1/2x+1

Step-by-step explanation:

assuming that there aren't any answer choices to this problem,

there will be many possible correct answers to this,

i chose the most basic bc im lazy and have been answers lots ppl's  Qs today

the problem is basically saying what equation, when u put 2 in it will give an answer of 2

well....

x=y means whatever value x is, y will have the same value, in this case x=2 so y=2

1/2x+1=y means that whatever the x value u put in, will be cut in half then, have 1 added to it, in this case 1 is half of 2 and 1+1=2

no Qs pls :>

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

  Option B is correct

b

   \(P(\= A ) = 0.997\)

Step-by-step explanation:

From the question \(\= A\) denote the compliment of A and what this mean is that  \(\= A\) consist of all the outcomes in which event A does not occur

  Given that  P(A)  = 0.003

Then the value of

                   \(P(\= A ) = 1- 0.003\)

                    \(P(\= A ) = 0.997\)

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

The resistance in the circuit is 11.63 ohms

Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.

The factors that affects the resistance of a conductor are;

1. temperature

2. length of the wire

3. Area of the wire

4. Nature of the wire

power = V²/R

R = V²/P

P = 1238 W

v = 120

R = 120²/1238

R = 14400/1238

R = 11.63 ohms

learn more about resistance from

https://brainly.com/question/17563681

#SPJ1

im just answering for free points

Step-by-step explanation:

Answer:

3 to 8 = 6 to 16 = 30 to 80

Step-by-step explanation:

Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

3 to 8

Multiply both 3 and 8 by 2:

6 to 16

Multiply both 3 and 8 by 10:

30 to 80

3 to 8 = 6 to 16 = 30 to 80

Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°