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3 years ago

Solve the linear equation. 8x 32=1/5(25x−15)−4x. for x.

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

There is no sign before 32 is given in the equation. I am showing the work with +32.

8x+32=1/5(25x−15)−4x.

$8x+32=5x-3-4x$ By distribution property.

8x+32=x-3 Combine the like terms.

8x=x-3-32 Subtract 32 from each sides.

8x=x-35 Combine the like terms.

8x-x=-35 Subtract x from each sides.

7x=-35

$\frac{7x}{7} =-\frac{35}{7}$ Divide each sides by 7.

So, x=-5

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4 years ago

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to create

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Answer:

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3 years ago

Read 2 more answers

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

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3 years ago