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Effectus [21]
3 years ago
14

P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

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Once again, I'm asking for assistance in this problem. I thought it was 1/6 but I'm unsure. Someone help. The number next to 2/5
Aleks [24]

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:Step-by-step explanation:

4 0
3 years ago
The data displayed by the graph indicate that in 2000,
MrMuchimi

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

A(t) = A(0) - mt

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, A(0) = 45
  • Decaying by 1.7 each year, thus m = 1.7.

The equation is:

A(t) = 45 - 1.7t

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

11 = 45 - 1.7t

1.7t = 34

t = \frac{34}{1.7}

t = 20

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
The temperature went from -12°F to 18°F. How much did the temperature change?
Triss [41]

you have negative -12

turn this into a positive (12)

12 plus 18

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8 0
3 years ago
Which statement is true?
melamori03 [73]

Answer:

c ???

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?
katovenus [111]

9514 1404 393

Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

7 0
3 years ago
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