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3 years ago

Study the equations:

2 answers:

7 0

H(x) = (6x + 7)(4x - 2)

Use FOIL Method (First, Outer, Inner, Last)

h(x) = 24x^2 - 12x + 28x - 14

Combine like terms.

h(x) = 24x^2 - 16x - 14

Mamont248 [21]3 years ago

4 0

Answer:

h(x)=24X^2+40x+14

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The diameter of a circle is 16 in . Find its circumference in terms of pi?

77julia77 [94]

Answer:

Circumference of circle = πd = π × 16 =16 π in.

circumference of circle = 2πr = 2×π×8= 16 π in.

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3 years ago

Sin (x/2)= √2- sin (x/2) solve for the exact solutions in the interval (0, 2π)

serg [7]

$sin\left( \frac{x}{2} \right)=\sqrt{2}-sin\left( \frac{x}{2} \right)\implies sin\left( \frac{x}{2} \right)+sin\left( \frac{x}{2} \right)=\sqrt{2}\implies 2sin\left( \frac{x}{2} \right)=\sqrt{2} \\\\\\ sin\left( \cfrac{x}{2} \right)=\cfrac{\sqrt{2}}{2}\implies sin^{-1}\left[ sin\left( \cfrac{x}{2} \right) \right]=sin^{-1}\left( \cfrac{\sqrt{2}}{2} \right) \implies \cfrac{x}{2}= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4} \end{cases} \\\\[-0.35em] ~\dotfill$

$\cfrac{x}{2}=\cfrac{\pi }{4}\implies \boxed{x=\cfrac{\pi }{2}}~\hfill \cfrac{x}{2}=\cfrac{3\pi }{4}\implies \boxed{x=\cfrac{3\pi }{2}}$

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3 years ago

What is the answer for <br>11x-5(2x+1)=-2

Lerok [7]

2x^2 - 11x + 5 = (2x-1)(x-5)

8 0

4 years ago

Estimate the sum. 369,228 + 420,577

Softa [21]

The sum is = 789,805

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3 years ago

Read 2 more answers

For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?

9966 [12]

Answer:

300 m/min

Step-by-step explanation:

Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5 $\frac{20}{60}=\frac{1}{3}$

5 $\frac{1}{3}=\frac{16}{3}$

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

4 0

3 years ago