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2 years ago

Given the parent function f(x)=x^2 describe the graph of y=(0.2x)^2

1 answer:

8 0

We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5

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Find the mean 35 40 12 16 25 10

ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

Given information:

35, 40, 12, 16, 25, 10

Given formula:

$Mean~=~\frac{Sum~of~terms}{Number~of~terms}$

Substitute values into the formula

$Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}$

Combine like terms

$Mean~=~\frac{75~+~28~+~35}{6}$

$Mean~=~\frac{103~+~35}{6}$

$Mean~=~\frac{138}{6}$

Simplify the fraction

$\Large\boxed{Mean=23}$

Hope this helps!! :)

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1 year ago

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Genrish500 [490]

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2 years ago

(2x³+11x²+5)-(x³-2x²+2)

SOVA2 [1]

Answer:x^3+13x^2+3

Step-by-step explanation:

(2x^3+11x^2+5)-(x^3-2x^2+2)

Clearing brackets

2x^3+11x^2+5-x^3+2x^2-2

Collect like terms

2x^3-x^3+11x^2+2x^2+5-2

x^3+13x^2+3

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2 years ago

Ldentify the hypothesis of the statement

Annette [7]

Answer:

C the slope of a line is positive

Step-by-step explanation:

Hypothesis: The phrase following the "if" part of a conditional statement. So the answer would be c- The slope of a line is positive.

6 0

2 years ago

On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4).

mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6$

In triangle STU:

$|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2$

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

6 0

2 years ago

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