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2 years ago

Use substitution to solve the system of linear equations. In your final answer, include all of your work.

1 answer:

4 0

Replace 'y' with -3x+4

$x + \frac{1}{3} (-3x+4) = \frac{4}{3} \\ \\ x -x + \frac{4}{3} = \frac{4}{3} \\ \\ \frac{4}{3} = \frac{4}{3}$

The variable 'x' cancels out, leaving the True statement 4/3 = 4/3
This means that the 2 equations are identical regardless of what x and y are.

Answer: System is consistent and dependent, there are an infinite number of solutions.

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Simplified product ?

mel-nik [20]

Answer:

Last choice is correct.

Step-by-step explanation:

$\left(\sqrt{10x^4}-x\sqrt{5x^2}\right)\left(2\sqrt{15x^4}+\sqrt{3x^3}\right)$

$\left(x^2\sqrt{10}-x\cdot x\sqrt{5}\right)\left(2\cdot x^2\sqrt{15}+x\sqrt{3x}\right)$

$\left(x^2\sqrt{10}-x^2\sqrt{5}\right)\left(2x^2\sqrt{15}+x\sqrt{3x}\right)$

$x^2\sqrt{10}\left(2x^2\sqrt{15}+x\sqrt{3x}\right)-x^2\sqrt{5}\left(2x^2\sqrt{15}+x\sqrt{3x}\right)$

$2x^4\sqrt{150}+x^3\sqrt{30x}-2\sqrt{75}x^4-x^3\sqrt{15x}$

$2x^4\cdot5\sqrt{6}+x^3\sqrt{30x}-2\cdot5\sqrt{3}x^4-x^3\sqrt{15x}$

$10x^4\sqrt{6}+x^3\sqrt{30x}-10\sqrt{3}x^4-x^3\sqrt{15x}$

$10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}$

Hence final answer is $10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}$

5 0

2 years ago

PLEASE HELP???!!!!!

Likurg_2 [28]

We'll use the Pythagorean Theorem
130^2 = side^2 +50^2
side ^ 2 = 16,900 -2,500
side ^ 2 = 14,400
side = square root (14,400)
side = 120 feet

4 0

2 years ago

Read 2 more answers

How do i turn 24% into a fraction

PolarNik [594]

You can remove the % sign if you divide the number by 100:

$\frac{24}{100}$

This is because % is defined as 1/100, and the name (per-cent) actually meant this originally!
we can also simplify it: let's divide it by 4:

$\frac{6}{25}$

7 0

3 years ago

Find the value of x in the triangle shown below

JulijaS [17]

Answer:

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

x = +/- 3

we take only the positive value because a length can‘t be negative

x = 3

5 0

2 years ago

Your friend asks you to help him with his snow shoveling business and will pay you 3 pennies for the first job. You agree to hel

ratelena [41]

Total = 3^x, where x is the number of jobs worked.

Let x = 7th job:

Total = 3^7 = 2187 pennies. = $21.87

8 0

3 years ago

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