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Mars2501 [29]
3 years ago
13

Factor -12x^6-60x^5-75x^4

Mathematics
1 answer:
lesya [120]3 years ago
6 0
-12x^6 - 60x^5-75x^4.......GCF = 3x^4
 3x^4(-4x^2 - 20x - 25)
3x^4(-2x - 5)(2x + 5) <==
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Slope intercept form of y-3=2/3(x+5)
Blizzard [7]

Answer:

It's already in slope intercept form

slope = 2/3

Intercept = (-5,3)

Step-by-step explanation:

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HELP ME ASPA!!!!!<br> Round your answer to the nearest hundredth.<br> AC=
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Find the slope of the line that passes through (10,9) and (1,5)​
laiz [17]

Answer:

4/9

Step-by-step explanation:

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3 years ago
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Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the gr
gayaneshka [121]

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4

∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

  It intersects y-axis at 2

∵ x + 2 intersects x-axis at y = 0

∴ x + 2 = 0

∴ x = -2

∴ The parabola and the line intersect each other at

  x = -2 and y = 0

To find all the point of intersection between the 2 equations we will solve them as a system of equations

∵ y= -x² + 4  and y = x + 2

∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

3 0
3 years ago
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Which of the following expressions is equivalent to 9x2 - 4 ?
navik [9.2K]

If your teacher wants you to factor, then use the difference of squares rule

9x^2 - 4

(3x)^2 - 2^2

(3x-2)(3x+2)

3 0
3 years ago
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