All categories

3 years ago

Describe, using words, how to solve the equation 6-4x=18. List any properties utilized in the solution.

1 answer:

3 0

First of all you need to make sure that each side has only letters and numbers, for this equation you first need to subtract 6 of each side, this way you can change the equation appearence without changing it's value, because if you do something in both sides of an equation, it's ok. After subtracting 6 of each side you can divide both sides for -4, this way you'll take only x in the left side and 12/-4 on the other, this way you will see that x = -3

6 - 4x = 18

6 - 4x - 6 = 18 - 6

-4x = 12

-4x/-4 = 12/-4

x = -3

You might be interested in

#1: Solve the inequality below.<br> -3x + 5 < -19

frosja888 [35]

Explanation: Just like any of your two-step equations,

in this inequality, start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

4 0

3 years ago

Find the size of angle YZX

Tasya [4]

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

$XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm$

3 0

3 years ago

Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being

harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0

3 years ago

Two functions are shown in the table below.

SVETLANKA909090 [29]

Answer: