Table
x f(x)
-2 0.2
-1 0.4
0 0.8
1 1.6
2 3.2
Look that the pair of data (0, 0.8), it means f(0) is 0.8
Given
that a^0 = 1, means that the coefficient of the function has to be 0.8
and you discard the first and the third options.
You have to replace the values of x in the equations and compare the results.
For f(x) = 0.8 * (2^x) you get
x f(x) = 0.8 * (2^x)
-2 0.8 * (2^-2) = 0.8 / 4 = 0.2
-1 0.8 * (2^-1) = 0.8 / 2 = 0.4
0 0.8 * (2^0) = 0.8 * 1 = 0.8
1 0.8 * (2^1) = 0.8 * 2 = 1.6
2 0.8 * (2^2) = 0.8 * 4 = 3.2
As you can see these results are the same of the table of the question, so the function is f(x) = 0.8 (2^x).
Answer: f(x) = 0.8 * (2^x)
The data are reported in the attached table.
We define the null hypothesis H₀ as the statement that is believed true until we prove it wrong with the test.
We define the alternative hypothesis H₁ as the statement we want to conclude with our test.
The difference in graffiti before (B) and after (A) will be:
d = A - B.
If the graffiti declined, it means that A will be smaller than B, therefore d should be negative.
Therefore we can set:
H₀ : μd ≥ 0
H₁ : μd < 0
The equal sign would mean that the number of graffiti incidents remained constant, therefore it is part of the null hypothesis.
Therefore the correct answer is B) H₀: μd ≥ 0 versus <span>H₁</span>: μd < 0
The length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
Since Kristin wants to wrap a ribbon around the perimeter of a rectangle, the perimeter of a rectangle P = 2(L + W) where L = length of rectangle and W = width of rectangle.
Given that the perimeter of the rectangle, P = 56 inches and the length of the rectangle, L is five less than twice the width of the rectangle, W we have that
L = 2W - 5
Substituting L into P, we have
P = 2(2W - 5 + W)
P = 2(W - 5)
Since P = 56, we have
2(W - 5) = 56
~Dividing both sides by 2, we have
W - 5 = 56/2
W - 5 = 23
Adding 5 to both sides, we have
W = 23 + 5
W = 28 inches
Substituting W into L, we have
L = 2W - 5
L = 2(28) - 5
L = 56 - 5
L = 51 inches
So, the length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
Learn more about perimeter of a rectangle here:
brainly.com/question/16715918
-24
-66+42
=-24 since it is negative
Answer:
The graph of y2+3x=0 is symmetric with respect to the x-axis
Step-by-step explanation:
To establish symmetry with respect to the x-axis we simply substitute -y in place of y in the original equation. If the resulting equation is identical to the original one then the function is said to be symmetric with respect to the x-axis.
In this case we have;

Which is identical to the original equation