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Ne4ueva [31]
4 years ago
10

What value of x makes the equation -6x-20=-2x+4 (1-3×) true​

Mathematics
1 answer:
dmitriy555 [2]4 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

-6x - 20 = -2x + 4 (1 - 3x)

Distributive property

-6x - 20 = -2x + 4  - 12x

Combine like terms

-6x - 20 = -14x + 4  

Add 14x to both sides

-6x - 20 + 14x = -14x + 4  + 14x

Simplifying

8x - 20 = 4

Add 20 to both sides

8x = 24

Divide both sides by 8

x = 3

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State how many imaginary and real zeros the function has.
sammy [17]

Answer:

Step-by-step explanation:

If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis.  This tells us immediately that there are no real roots; all four roots are complex or imaginary.

6 0
3 years ago
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of
Jet001 [13]

Answer:

900 cubic inches.

Step-by-step explanation:

<u>Given the following data </u>

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

V = \frac{1}{3} \pi r^{2}h

Where;

  • V is the volume of right circular cone.
  • r is the radius of the base of the right circular cone.
  • h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

V = \pi r^{2}h

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

V = \frac{1}{3} \pi r^{2}h * 3

<em>Substituting into the equation, we have;</em>

V = 300 * 3

V = 900in³

<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.</em>

7 0
3 years ago
A group of forest rangers work 5 days per week. It takes them 3 days to plant trees on 1/3 acre. What is the unit rate in acres
Talja [164]
I would say 5/9 acres a week
7 0
3 years ago
Find the slope and the y-intercept of the equation below:
AveGali [126]

Answer:

  1. m = 4/3; b = -4
  2. m = 3; b = -6

Step-by-step explanation:

In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.

<h3>1.</h3>

  -3y = -4x +12 . . . . . subtract 4x

  y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

__

<h3>2.</h3>

  y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

_____

<em>Additional comment</em>

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)

8 0
3 years ago
WILL give brainleist to the right answer
hoa [83]
Yiu seem to have correct answer which is D
4 0
3 years ago
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