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MrRa [10]
3 years ago
8

What polynomial has roots of -4, 1, and 6?

Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0
X^3-3x^2-22x+24
the first option is the answer

solution: (x + 4)(x - 1)(x -6) = (x^2 - x + 4x -4)(x - 6)
(x^2 + 3x -4)(x - 6) = x^3 -6x^2 + 3x^2 - 18x - 4x + 24 = x^3 - 3x^2 - 22x + 24
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What value of x makes this equation true? 15-7x=5x-21​
belka [17]

Answer:

x=3

Step-by-step explanation:

15-7x=5x-21

12x=36

x=3

4 0
2 years ago
What are the x and y intercepts for 2x-6y=12 and how do you find them?<br> Thanks!
quester [9]
X intercept is
\frac{  2}{6} x
y intercept is 2

3 0
3 years ago
Help please will give brainllst to the right answer
stich3 [128]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
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Which equation could generate the curve in the graph below?
dimulka [17.4K]

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

y = 3 {x}^{2}  - 2x + 1

D =  {( - 2)}^{2}  - 4(3)(1)

D =  - 8

D < 0

Option 2,

y = 3 {x}^{2}  - 6x + 3

D =  {( - 6)}^{2}  - 4(3)(3)

D = 0

Option 3,

y = 3 {x}^{2}  - 7x + 1

D =  {( - 7)}^{2}  - 4(3)(1)

D = 37

D > 0

Option 4,

y = 3 {x}^{2}  - 4x - 2

D =  {( - 4)}^{2}  - 4(3)( - 2)

D = 40

D  > 0

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

7 0
3 years ago
Volume of sphere Marcus is using small stone spheres
satela [25.4K]
<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

  • \large \tt 6 \div 2 = 3

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 3in^3
  • \tt V = \frac{4}{3}\times 3.14\times 27in
  • \tt V = \frac{4}{3}\times 84.78in
  • \tt V = \frac{339.12in}{3}
  • \tt V = 113.04in^3

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 5in^3
  • \tt V = \frac{4}{3}\times 3.14\times 125in
  • \tt V = \frac{4}{3}\times 392.5in
  • \tt V = \frac{1570in}{3}
  • \tt V = 523.33in^3

<h3>Explanation</h3>

Therefore, the volume of the stone sphere is 523.33in³

<h3>#CarryOnLearning</h3>
4 0
2 years ago
Read 2 more answers
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