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Alex777 [14]
3 years ago
7

Factor: 3x4 + 9x3 -30x2

Mathematics
2 answers:
sleet_krkn [62]3 years ago
6 0

Answer:

3x²(x - 2)(x + 5)

Step-by-step explanation:

Step 1: Factor GCF

3x²(x² + 3x - 10)

Step 2: Factor Quadratic

3x²(x - 2)(x + 5)

pickupchik [31]3 years ago
4 0

Answer:

3x^2(x - 2)(x + 5).

Step-by-step explanation:

3x^4 = 3 * x * x * x * x

9x^3 = 3 * 3 * x * x * x

-30x^2 = -1 * 2 * 3 * 5 * x * x

All three terms have a 3 and two x's.

3 * x * x (x * x + 3 * x - 2 * 5) = 3x^2(x^2 + 3x - 10)

x^2 + 3x - 10 = x^2 + 5x - 2x - 10 = (x - 2)(x + 5)

So, 3x^2(x - 2)(x + 5)

Hope this helps!

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Write the equation of the line that passes through the points (5, -1) and
trapecia [35]

Answer:

y = -1

Step-by-step explanation:

First, you find the slope by using the slope formula and get 0. Now, choose one coordinate and plug it into the equation y = mx + b along with the slope. If you chose the first coordinate, the equation would be -1 = (0)(5) + b. After solving for b (the y-intercept) you would get -1. Lastly, you rewrite the equation as y = -1.

7 0
3 years ago
What is the slope of x+y=7,x-y=8
slava [35]

Step-by-step explanation:

The slop is M= 1÷x-y-xy

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4 years ago
What set of transformations is performed on triangle RST to form triangle R’S’T’?
DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation  about the origin  takes S to the point  (-1, -1)  where we have S' .  

8 0
4 years ago
Read 2 more answers
The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.
nataly862011 [7]

Answer:

  • Length = 43 inches
  • Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

4x - 5 + x = 110/2

5x - 5 = 55

5x = 55 + 5

x = 60/5

x = 12 inches

If width is 12 inches, then length is:

= 4x - 5

= 4 * 12 -5

= 43 inches

6 0
3 years ago
Listen
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Answer:

scale factor = \frac{14}{5}

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = \frac{7}{2.5} = \frac{7(2)}{2.5(2)} = \frac{14}{5}

4 0
3 years ago
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