Infinite Algebra 2Solving Multi-Step Equations
Looking for an explanation on how to solve these two problems and what the correct answers are. How do I solve these ?

4n-2n=4

-12=2+5v+2v

Answers

Answer 1

Answer: The first problem, all you need to do is combine like terms then isolate the n:
4n-2n=4
~subtract 2n from 4n (2n)
2n=4
~then divide both sides of the equation by 2 to isolate the n
n=4

The second problem follows the same steps of combining like terms and isolating the variable. Here, you'll have to combine 2 like terms:
-12=2+5v+2v
~first combine the variables which is just 5v+2v which is 7v
-12=2+7v
~then subtract 2 from both sides to isolate the 7v
-14=7v
~then divide both sides by 7 to isolate the v and get your answer
-2=v

Hope that helped!

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Which of the following equations has exactly one real solution?A. 2(x + 14) = 2x + 28B. 7x + 14 = −2x − 17C. 2x + 14 = 2x + 14D. 7x + 14 = 7x − 17
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The sales tax on a digital camera is $7.15. What is the sales tax rate?

Answers

You just have to find out the percent 7.15 is of 105. To do that, you set up a proportion with x as the percentage:

$(7.15)/(105)=(x)/(100)$

Then, cross multiply to get:

$(7.15)/(105)=(x)/(100)\n715=105x\n105x/105=715/105\nx=6.810$

So, the sales tax rate was 6.8%.

Express (5a^3n)^3 with positive exponents. please hey im taking my final exam

Answers

The expression of (5a³ⁿ)³ in positive exponents using the law of indices is 125 a⁹ⁿ

How to make an expression a positive exponent?

The expression has exponents. Therefore, let's express it with a positive exponent.

Therefore,

(5a³ⁿ)³

Hence, let distribute the outside exponents(law of indices),

(5a³ⁿ)³ = 5³ × a³ⁿ ˣ ³

Therefore,

5³ × a³ⁿ ˣ ³

5 × 5 × 5 = 5³ = 125

a³ⁿ ˣ ³ = a⁹ⁿ

Hence,

(5a³ⁿ)³ = 125 a⁹ⁿ

learn more on exponents here: brainly.com/question/2289511

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Answer:

It would be 125a^9n

What is the solution set for the inequality |-3-5x|-8<-2

Answers

$|-3-5x|-8<-2\n|-3-5x|<6\n-3-5x<6 \wedge -3-5x>-6\n-5x<9 \wedge -5x>-3\nx>-(9)/(5) \wedge x<(3)/(5)\nx\in\left(-(9)/(5),(3)/(5)\right)$

The hard way:

$\left| -3-5x \right| -8<-2\n \n \left| -3-5x \right| <6\n \n { \left( -3-5x \right) }^( 2 )<{ 6 }^( 2 )\n \n \left( -3-5x \right) \left( -3-5x \right) <36$

$\n \n 9+15x+15x+25{ x }^( 2 )<36\n \n 25{ x }^( 2 )+30x+9<36\n \n 25{ x }^( 2 )+30x-27<0\n \n Say\quad f\left( x \right) =25{ x }^( 2 )+30x-27,\n \n and\quad that\quad f\left( x \right) =0$

$\n \n 25{ x }^( 2 )+30x-27=0\n \n 25{ x }^( 2 )+30x=27\n \n { x }^( 2 )+\frac { 30 }{ 25 } x=\frac { 27 }{ 25 } \n \n { x }^( 2 )+\frac { 6 }{ 5 } x=\frac { 27 }{ 25 } \n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )-{ \left( \frac { 3 }{ 5 } \right) }^( 2 )=\frac { 27 }{ 25 }$

$\n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )=\frac { 36 }{ 25 } \n \n x+\frac { 3 }{ 5 } =\pm \frac { 6 }{ 5 } \n \n x=-\frac { 3 }{ 5 } \pm \frac { 6 }{ 5 }$

$Therefore:\n \n x=\frac { 3 }{ 5 } \quad and\quad x=-\frac { 9 }{ 5 } \quad when\quad f\left( x \right) =0\n \n Now:\n \n f\left( x \right) <0,\n \n$

When:

-9/5<x<3/5

|4 - 5x|< 13 help me please

Answers

Answer:

Step-by-step explanation:

x > -9/5 or x < 17/5.

is your answer btw are you always that beutiful?

angle KLM and angle MLN are complementary. angle LM bisects angle KLM. Find the measures of angle KLM and MLN

Answers

By definition, the measures of two complementary angles adds up to 90 degrees. Therefore, the measure of angle KLN is 90 degrees. Because LM bisects KLN, by definition, LM divides KLN in half. Therefore KLM and MLN each measure 45 degrees. When in doubt, draw a picture.

Final answer:

Using the concepts of complementary angles and bisecting angles, we find that Angle KLM measures 60 degrees and Angle MLN measures 30 degrees.

Explanation:

In this problem, we're dealing with complementary angles and bisecting an angle. Complementary angles are two angles whose measures sum to 90 degrees. When an angle is bisected, it is split into two equal smaller angles.

Firstly, as angle KLM and angle MLN are complementary, the sum of their measures equals 90 degrees, so Angle KLM + Angle MLN = 90 degrees.

Secondly, as angle LM is bisecting angle KLM, this means that angle KLM is split into two equal parts. Let's assume each of those parts is x, that means Angle KLM = 2x.

Given that angle KLM and angle MLN are complementary, we can substitute angle KLM = 2x into the equation, leading us to 2x + Angle MLN = 90 degrees. Since angle MLN is also x because it's a part of bisected angle KLM, we can substitute in Angel MLN = x into this equation, ending up with 2x + x = 90 degrees or 3x = 90 degrees. Solving for x, we find that x = 90 / 3 = 30 degrees.

Therefore, the measure of Angle KLM (2x) is 60 degrees and the measure of Angle MLN (x) is 30 degrees.

Learn more about Angle Measures here:

brainly.com/question/33833061

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What is the product? (2x – 1)(x 4)?

Answers

Answer:

$2x^2+7x-4$

Step-by-step explanation:

The distributive says that:

$a \cdot(b+c) = a\cdot b+ a\cdot c$

To find the product of :

$(2x-1)(x+4)$

then;

$2x(x+4)-1(x+4)$

Using distributive property we have;

$2x^2+8x-x-4$

Combine like terms;

$2x^2+7x-4$

Therefore, the product of $(2x-1)(x+4)$ is, $2x^2+7x-4$

The product of (2x - 1)(x + 4) is $2x^2 + 7x - 4$ .

Here, we have,

To find the product (2x - 1)(x + 4), we need to use the distributive property to multiply each term in the first expression (2x - 1) by each term in the second expression (x + 4).

Using the FOIL method (First, Outer, Inner, Last), we multiply the corresponding terms:

$(2x) * (x) = 2x^2$ (First terms)