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2 years ago

Simplify the variable expression below as much as possible. 3x + 4 + 9 - 6

Mathematics

2 answers:

rosijanka [135]2 years ago

8 0

You’re answer would be 3x-7

Stella [2.4K]2 years ago

3 0

3x + 7 would be your answer

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Solve 6^x+2 = 10 for x using the change of base formula

pashok25 [27]

Answer:

$x\approx-0.7149$

Step-by-step explanation:

$\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149$

Recall that the change of base formula is $\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}$

3 0

1 year ago

Express the area A of a right triangle as a function of the height h if the base of the triangle is twice it's height

borishaifa [10]

Base = 2 x height (b = 2h)
Area = 1/2 x base x height = 1/2 x 2h x h = h x h = h^2

8 0

2 years ago

Find the value of y.<br><br> m ∠ 1 = 3y - 6

Ivenika [448]

$m\angle1=90\\
3y-6=90\\
3y=96\\
y=32$

4 0

2 years ago

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Length of a rectangular prism volume is 2,830.5, width 18.5, height 9

jek_recluse [69]

Well, you get the volume by multiplying the height, the width, and the length. So just work on it backwards.
2,830.5 divided by (9 times 18.5).
9 times 18.5 is 166.5. So that leaves us with 2,830.5 divided by 166.5, which is 17.
So, the answer is 17.

4 0

2 years ago

Read 2 more answers

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

2 years ago