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3 years ago

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A baseball player had a batting average of 0.334 for the season. Write this numbwr in expanded form

1 answer:

Readme [11.4K]3 years ago

8 0

Answer:

0.300 + 0.030 + 0.004

or

0.100 x 3 + 0.01 x 3 + 0.001 x 4

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Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4

Grace [21]

To transform the function $f(x)= cos(x)$ to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have $y=3f(x)$

To transform the function $f(x)=cos(x)$ to have the midline $y=-4$ we need to subtract $f(x)$ by 4, so we have $y=f(x)-4$ ,

To transform the function $f(x)=cos(x)$ to have period of $\frac{ \pi }{2}$ , we need to divide the original period $2 \pi$ by 4, so we have $y=f(4x)$ . Note that it is the $4x$ gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

Hence, the full transformation is given $y=3f(4x)-4$ which is the last option

8 0

3 years ago

Read 2 more answers

A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

3 years ago

Angelica and genesis are trying to find the difference of 7-(-5). Genesis thinks the difference is -12. Angelica thinks the diff

Elena-2011 [213]

Answer:

12

Step-by-step explanation:

7-(-5) = 7+5

7+5 = 12

7-(-5) = 12

5 0

3 years ago

The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?

erik [133]

Answer: The original price was $6,400

Step-by-step explanation: To find the original price, divide the sale price by 1 minus the discount rate: 4160 / (1- 0.35) = 4160 / 0.65 = 6400

mark brainliest?? plz :)

3 0

3 years ago

Some large hardware stores, such as Home Depot, boast of carrying as many as 20,000 different products in each store. This volum

Sliva [168]

Answer:

the choice of consumers regarding what to purchase to satisfy their wants and the choice of producers regarding what to produce to maximize profits.

Step-by-step explanation:

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3 years ago