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3 years ago

-58= -2(5n + 4) Explain your solution process

1 answer:

7 0

$\text{Hello there!}\\\\\text{Solve for n:}\\\\-58= -2(5n + 4)\\\\\text{Distribute the-2 to the numbers in the parenthesis}\\\\-58= -10n -8\\\\\text{Add 8 to both sides}\\\\-50=-10n\\\\\text{Divide both sides by -10}\\\\\large\boxed{5=n}$

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Answer:

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2 years ago

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Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope

ziro4ka [17]

Given:

Expression is

$3r^2-2r+4$

To prove:

If r is any rational number, then $3r^2-2r+4$ is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

$3(r\times r)-2r+4$

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ are rational by Property 3.

$3r^2+(-2r)+4$ is rational by property 2.

So, $3r^2-2r+4$ is rational.

Hence proved.

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2 years ago

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A.Directions: Solve the system of equations by substitution and elimnination. Check your solutions.

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Answer:

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3 years ago

PLEASE HELP!!! Find each measure. m<1, m<2, m<3

Mashcka [7]

Number 1: To find number 1 use hypotenuse theory. 180-(69+31) is the equation. After you solve it you get m<1 as 80.

Number 2: Since you already found m<1 find the other angle across from it.

Equation is: 180-80, which equals to 100.

Then once you have two angles use the theory again: 180-(100+45)=35.

Therefore m<2=35.

Number 3: Still using m<1, 180-100=80. Now you have to angles you get the equation:

180-(80+47), which equals to 53. Therefore m<3=53

Answers: m<1=80; m<2=35; m<3=53

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3 years ago

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-58= -2(5n + 4) Explain your solution process​

-58= -2(5n + 4) Explain your solution process