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kozerog [31]
3 years ago
11

We want to find the zeros of this polynomial:

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

x=-3        x=-1            x=2         x=-2

Step-by-step explanation:

p(x) = (x^2 + 4x + 3)(x^2 – 4)

Set this equal to zero to find the x intercepts

0 = (x^2 + 4x + 3)(x^2 – 4)

Using the zero product property

(x^2 + 4x + 3) =0      (x^2 – 4)  =0

Factor

(x+3)(x+1) =0            (x-2) (x+2)=0

Using the zero product property

x+3 =0  x+1 =0          x-2 =0  x+2 =0

x=-3        x=-1            x=2         x=-2

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How are the volume formulas of prisms and cylinders similar? How are they<br> different?
AysviL [449]

Answer:

They are both similar in the way that the formula is base multiplied by height. They are different because of the type of shape on the base.

Step-by-step explanation:

hope this helps

7 0
3 years ago
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
Can someone help please???
Dovator [93]

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

4 0
3 years ago
Which expression has twice the value of 2 times 2 times 2 times 2 times 2?
Brilliant_brown [7]

Answer:

2 To the 6'th power.

Step-by-step explanation:

2x2x2x2x2=32

twice the value of 32 is 64

2x2x2x2x2x2=64

so your answer would be 2 to the sixth power

hope this helps! :)

3 0
3 years ago
Read 2 more answers
Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown
BARSIC [14]

Answer:

C

Step-by-step explanation:

did da test

6 0
3 years ago
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