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svet-max [94.6K]

3 years ago

6

Sergio solved the following equation and found the answer to be x = 2. Which choice represents the best way for Sergio to check

his answer? 4x – 6 = 2

1 answer:

MrMuchimi3 years ago

6 0

The best way for him to check his answer would be to simply plug in the value found for x into the equation.

4(2) - 6 = 2

8 - 6 = 2

2 = 2

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At the space center, Karen bought a model of a shuttle. She started working on the model the next day at 11:13 A.M. She worked u

goblinko [34]

Answer:

58 minutes.

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3 years ago

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted

neonofarm [45]

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hope it helps!

6 0

3 years ago

Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

8 0

1 year ago

What is another way to write the absolute inequality |p|<12?

GaryK [48]

Answer:

$-12$

Step-by-step explanation:

$\left|p\right|$

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$-12$

7 0

3 years ago