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3 years ago

Find a polynomial equation that has zeros at x = -4, x = 0, and a double root at x = 7.

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

Answer:

Step-by-step explanation:

Given a polynomial f(x) with roots say x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the roots, that is

f(x) = (x - a)(x - b)

Here the roots are x = - 4, x = 0 and double root at x = 7

Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x

Given a double root at x = 7 the factor is (x - 7)², thus polynomial is

y = x(x + 4)(x - 7)² → D

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How do I do this problem??

Crank

Expanding 8x^3, we multiply 8*8 and x^3 by x^3 to get 64x^6. Since we know that the cube root of 64 is 4, we can separate that. Next, since you add exponents while multiplying, 6/3 is the exponent for the cube root of x^6=x^2. Therefore, your answer is 4x^2

5 0

3 years ago

A circle has the circumference of 3.75 in. What is the diameter of the circle? (Use 3.14 for p. Round to the nearest tenth.) a.

HACTEHA [7]

Answer:

Step-by-step explanation:

The formula of a circumference:

$C=d\pi$

<em>d</em> - diameter

We have <em>C = 3.75 in</em><em>.</em>

Substitute:

$d\pi=3.75\qquad\text{use}\ \pi\approx3.14\\\\3.14d=3.75\qquad\text{divide both sides by 3.14}\\\\d=\dfrac{3.75}{3.14}\\\\d=\dfrac{375}{314}\\\\d\approx1.2\ in$

7 0

3 years ago

What is 2 times 3 times n times n = 54

kolezko [41]

If I'm reading this correctly, it is 2*3*n*n = 6n^2

6n^2 = 54 Divide by 6

n^2 = 54/6

n^2 = 9 Take the square root of both sides.

sqrt(n^2) = sqrt(9)

n = +/- 3

n = + 3 or n = -3. Both will solve the equation above.

Edit

2 * 3 * n * n

Let n = 3

2 * 3 * 3 * 3 = 6 * 9 = 54

The other value is n = - 2

2 * 3 * n * n

2 * 3 * (-3) * (-3) A minus times a minus is a plus.

2 * 3 * 9 = 6 * 9 = 54

both + 3 and - 3 for n will give 54.

8 0

3 years ago

State the necessary value of nn that will make each statement true.<br> 0.0004 × 0.002 = 8 × 10^n

vodka [1.7K]

Answer:

$-7 = n$

Step-by-step explanation:

$0,002 \times 0,0004 = 0,0000008$

$0,0000008 = 8 \times {10}^{-7}$

* You must make sure that you have seven zeros in your decimal.

I am joyous to assist you anytime.

6 0

3 years ago

A rectangular yard measuring 39 ft by 67 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t

Gekata [30.6K]

The area of the walk is 784 square feet

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

First, calculate the area of the rectangular yard.

Area = L x W

where A equals area, L equals length, and W equals width.

According to the stated problem:

A = 39 x 67

A = 2613 square feet <-------Area of Rectangular yard.

Now, according to the stated problem there is a walk that is 4 feet wide going all the way along the fence (Inside). "

Therefore, we have 8 feet to subtract from each of the values above (39) and (67).

That is 4 feet on each side,

A = L x W

A = 31 x 59

A = 1829 square feet <----------Area of new rectangle formed by allowing for three foot walk.

Now, subtract the area of the new rectangle formed from the area of the original area. Doing so, will give you the area of the walk, correct?

Original area = 2613 square feet

New area = 1829 square feet

Hence, the Area of WALK = 784 square feet

Learn more about area on: brainly.com/question/22972014

#SPJ1

3 0

1 year ago