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Amanda [17]
2 years ago
9

Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?

Mathematics
1 answer:
n200080 [17]2 years ago
4 0

Answer:

f(x)=-3(x-8)(x+2)

Step-by-step explanation:

f(8)=-3(8-8)(8+2)=-3×0×10=0

f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0

f(0)=-3×(0+8)×(0+2)=-3×8×2=-48

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From the street, you drive down 6 levels in a parking garage. When you leave, you drive back up 6 levels. Which expression repre
oksian1 [2.3K]

Answer:

1.)

Step-by-step explanation:

When driving downwards, that is negative because you are subtracting. Then, when driving upwards, you are adding.

8 0
3 years ago
Mason and his dad are going to build a small retaining wall for the perimeter of their new
IRISSAK [1]

Answer:

120 bricks = 10 kg

120 bricks × 10 kg = 1200 kg

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3 years ago
Show all work to factor x4 − 10x2 + 9 completely.
leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0
3 years ago
Read 2 more answers
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
Dan draws a circle with a radius of 8 inches. Question 1 Part A: What is the circumference of Dan's circle, inches? If needed, r
geniusboy [140]

Answer:

The circumference of Dan's circle is approximately 50.27 inches.

Step-by-step explanation:

The length of the circumference (s), measured in inches, is determined by the formula:

s = 2\pi\cdot r (1)

Where r is the radius, measured in inches.

If we know that r = 8\,in, then the length of the circumference is:

s = 2\pi\cdot (8\,in)

s \approx 50.27\,in

The circumference of Dan's circle is approximately 50.27 inches.

8 0
3 years ago
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