A. Solve -8=(X + 2)/4

Mathematics

1 answer:

valkas [14]3 years ago

6 0

9514 1404 393

Answer:

a) x = -34

b) -8 = x/4 +2/4; x = -34

c) solving without the rewrite is easier, it takes fewer steps and eliminates fractions right away

Step-by-step explanation:

a) -32 = x +2 . . . . multiply by 4

-34 = x . . . . . . . subtract 2

$-8 = \dfrac{x+2}{4}\qquad\text{given}\\\\\boxed{-8=\dfrac{x}{4}+\dfrac{2}{4}}\qquad\text{right side as sum of fractions}\\\\\dfrac{-17}{2}=\dfrac{x}{4}\qquad\text{subtract $\dfrac{1}{2}$}\\\\\boxed{-34=x}$

c) Solving the equation of (a) directly takes 2 steps. Rewriting and then solving takes 3 steps, and involves fractions at every step. The equation of part (a) is easier to solve without the rewrite.

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mars1129 [50]

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6 0

3 years ago

Read 2 more answers

A buoy starts at a height of 0 in relation to sea level and then goes up. its maximum displacement in either direction is 6 feet

Vanyuwa [196]

The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A buoy starts at a height of 0 in relation to sea level and then goes up.

Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.

Then we have

$h=A \times \sin \omega t, \ \ at=0, \ \ h =0$

The maximum displacement of the buoy in either direction is 6 ft, then we have

$h=6 \times \sin \omega t$

The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.

Then we have

$\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}$