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3 years ago

Solve: 2x+1-14x=-71 This is for 7th grade mathematics. Please help!

Mathematics

1 answer:

hjlf3 years ago

5 0

Answer:

Step-by-step explanation:

Pull out like factors :

-12x + 72 = -12 • (x - 6)

Step 2 :

Equations which are never true :

Solve : -12 = 0

A non-zero constant never equals zero.

Solving a Single Variable Equation :

Solve : x-6 = 0

Add 6 to both sides of the equation :

x = 6

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Step-by-step explanation:

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Read 2 more answers

The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

AfilCa [17]

Answer

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

$y = A \sin(Bx + C) + D$

Where

$|A| = Amplitude$

And it is calculated as:

$A = \frac{1}{2}[Highest - Least]$

From the table:

Highest = 77 and Least = 21

So:

$A = \frac{1}{2}[77 - 21]$

$A = \frac{1}{2}[56]$

$A = 28$

B is calculated as:

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

The period is 12 i.e. 12 months

So:

$\frac{2\pi}{B} = 12$

$B = \frac{2\pi}{12}$

$B = \frac{\pi}{6}$

C is calculated as:

$\frac{C}{B} = -4$

$C = -4 * B$

$C = -4 * \frac{\pi}{6}$

$C = -2 * \frac{\pi}{3}$

$C = -\frac{2\pi}{3}$

Lastly, D is calculated as:

$D = Least + A$

So:

$D =21 + 28$

$D=49$

So, the function is:

$y = A \sin(Bx + C) + D$

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

8 0

3 years ago

Law of cosine. Please help

Anna35 [415]

Answer:

B) 41.7

Step-by-step explanation:

Let $a=25$ , $b=32$ , and $c=37$ . Use the Law of Cosines equation to find angle A=x which is directly across from side $a$ :

$\displaystyle \cos(A)=\frac{b^2+c^2-a^2}{2bc}\\ \\\cos(A)=\frac{32^2+37^2-25^2}{2(32)(37)}\\ \\\cos(A)=\frac{1024+1369-625}{2(1184)}\\\\\cos(A)=\frac{2393-625}{2368}\\ \\\cos(A)=\frac{1768}{2368}\\\\A=\cos^{-1}\biggr(\frac{1768}{2368}\biggr)\\ \\A\approx41.7^\circ$

Therefore, the correct answer is option B, which means you were right!

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2 years ago