Suppose that F(x) = x^2 and G(x) = 2/3x^2. Which statement best compares the graph of G(x) with the graph of F(x)?
A.) the graph of G(x) is the graph of F(x) compressed vertically.
B.) the graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.
C.) the graph of G(x) is the graph of F(x) stretched vertically.
D.) the graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis

Factoring this trinomial as the product of two binomials,

we have (x - 9)(x + 2) and set that equal to 0.

So we have (x - 9)(x + 2) = 0.

So either x - 9 = 0 or x + 2 = 0.

Solving for x in each equation, we find that our solution is {9, -2}.

Answer:

there is no picture

Step-by-step explanation:

the greatest rectangular area is actually a square

 so 376/4 = 94 feet.

 each side will be 94 feet

 area of a square is 94^2

= 94 * 94 = 8836 square feet

You should first solve each equation for y.

Eliminate answer choices with wrong slopes or y intercepts.

Then, because it is a dotted line, the answer will only be < or >.

And because the area is shaded to the right, it would mean that x > y.

So the answer is A) 3x - y > 3

Answer:

The correct option is A.

Step-by-step explanation:

If a line passing through two points then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the given graph it is clear that the related line passing through the points (0,-3) and (1,0). So, the equation of related line is

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0)[/tex]

[tex]y+3=3x[/tex]

The (0,0) is not in the solution set. So check the equation be (0,0).

[tex]0+3=3(0)[/tex]

[tex]3=0[/tex]

This condition is false if the sign of inequality is < or ≤. Since the related line is a solid line, therefore the sign of inequality must be <.

The required inequality is

[tex]y+3<3x[/tex]

[tex]3<3x-y[/tex]

It is also written as

[tex]3x-y>3[/tex]

Therefore the correct option is A.

A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

C.  Since we have determine the y-intercept and the slope, we can formulate the linear equation:

y = m x + b

y = 50 x + 8

The domain is the value of x. When y = 508, x is equivalent to

508 = 50 x + 8

x = 10 hrs

Answer:

The First person who answered it was wrong! Its 32,760 I took the test lol!

Step-by-step explanation:

 nPr = n!/(n-r)! <-- The equation used for this.

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Initial wildflowers in the first year = 1200

Every year, the number of wildflower is one fourth of the previous year.

So, it form a geometric series:

1200,300,75............

so, using sigma notation we can express the infinite growth of the wildflowers:

[tex]\sum ^{\infty}_{i=1}1200(\dfrac{1}{4})^{i-1}[/tex]

As we know that sum of infinite terms in case of geometric series is given by

[tex]S_{\infty}=\dfrac{a}{1-r}\\\\S_{\infty}=\dfrac{1200}{1-0.25}\\\\S_{\infty}=\dfrac{1200}{0.75}\\\\S_{\infty}=1600[/tex]

Therefore, there are 1600 wildflowers.

Hence, Third option is correct.

In the given parallelogram ABCD, angle $a$ is 62 degrees and angle $adb$ is 75 degrees. Angle $bd$ is calculated to be 105 degrees making angle $adc$ the supplementary to $bd$, and therefore also 75 degrees.

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (adding up to 180 degrees). In your given quadrilateral $abcd$, the measure of angle $a$ is 62 degrees and $a$ and $adb$ are consecutive angles. Therefore, knowing that angle $adb$ is 75 degrees, angle $bd$ should be the supplementary to $adb$, which is 180 - 75 = 105 degrees. Finally, since $adc$ is a straight line and $bd$ and $dc$ are parts of it, therefore angle $dc$ = 180 - angle $bd$ = 180 - 105 = 75 degrees. So, the measure of angle $adc$ is 75 degrees.

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The human eye blinks about [tex]\( 6.25 \times 10^6 \)[/tex] times each year, and a seal blinks about [tex]\( 1.01 \times 10^3 \)[/tex] times per year.

To find out how many times a human and a seal blink in one year, we simply take the given values for each. The question provides us with the number of times a human eye blinks in one year as [tex]\( 6.25 \times 10^6 \)[/tex]times. Similarly, it gives us the number of times a seal blinks in one year as [tex]\( 1.01 \times 10^3 \)[/tex] times.

 Therefore, without the need for any additional calculations, we can state that in one year:

- A human blinks [tex]\( 6.25 \times 10^6 \)[/tex] times.

- A seal blinks [tex]\( 1.01 \times 10^3 \)[/tex] times.

These values are already given in the question and represent the total number of blinks for each species in a year. No further calculations are required to answer the question as it is asking for the number of blinks in one year, which is directly provided.

Answer:

I believe Homer "the genius" math to be incorrect for Part A. (-30)^2+60(30)-116= 900+1800-116=2584; not 784 as he got -900 when squaring -30.

Step-by-step explanation:

Answer: h(x) = 3x(2 - 3x)

Step-by-step explanation:

Here the given functions are,

[tex]f(x) = x(2-x)[/tex]

[tex]g(x) = 3x[/tex]

[tex]h(x) = f(x) \circ g(x) = (f\circ g)(x) = f[g(x)][/tex]

[tex]= f( 3x )[/tex]

[tex]= (3x)[2-(3x)][/tex]

[tex]= 3x(2-3x)[/tex]

Hence,

[tex]h(x) = 3x(2-3x)[/tex]

⇒ Fourth option is correct.

Answer:

The equation which represents the statement thirteen less then a number is forty two is:

x-13=42

Step-by-step explanation:

Let x be any number

we are given that:

thirteen less then a number is forty two

i.e. x-13=42

Hence, the equation which represents the statement thirteen less then a number is forty two is:

x-13=42