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3 years ago

Help please!!! Can someone explain how to solve this please?

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

12 the answer

Step-by-step explanation:

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Solve the equation (linear equation) <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

4 years ago

Can someone help me with math

Firdavs [7]

-1.1% is the decrease in cost

5 0

3 years ago

If the measure of an angle is 42.5°, what is the measure of its supplement?

adell [148]

42.5° supplement equals 137.5°, you do 180-42.5=137.5, supplementary angles add up to 180°

8 0

3 years ago

The slope of the line in the graph is 4. Fill in the y intercept. Choose the correct equation in the form y = mx + b The y inter

nikitadnepr [17]

Answer:

$\rm\implies y = 4x + 3$

Step-by-step explanation:

Given :-

The slope of the line in the graph is 4.

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

Slope Intercept Form :-

$\rm\implies y = mx + c$

Substituting the respective values :-

$\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3$

Hence the equation of line is y = 4x + 3 

7 0

3 years ago

What is the difference? x/x^2-2x-15 -4/x^2+2x-35 '

Butoxors [25]

Answer:

Option D.

Step-by-step explanation:

The given expression is : $\frac{x}{x^{2}-2x-15 } -\frac{4}{x^{2} +2x-35}$

Factoring the denominators we have:

$\frac{x}{(x-5)(x+3)} -\frac{4}{(x+7)(x-5)}$

Making denominators same and simplifying the fractions we have:

$\frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} =\frac{x^{2}+3x-12 }{(x+3)(x-5)(x+7)}$

Option D is the right anser.

8 0

4 years ago

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