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r-ruslan [8.4K]
4 years ago
6

What are the zeros of the function? h(x)=x3−2x2−3x Select each correct answer.

Mathematics
1 answer:
Nat2105 [25]4 years ago
8 0
Hello again!

It looks like you need a lot of help today. I'm glad I am able to help you!

h(x) = x³ - 2x² - 3x

The question you need to ask yourself is "How do you find the zeros of a function.

Answer: To find the zeros of a function, just set the function equal to zero then solve for x

x³ - 2x² - 3x = 0

Factor the left sides

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

Now we can set factors equal to 0

x = 0 or x + 1 = 0 or x - 3 = 0

x = 0 or x = 0 - 1 or x = 0 + 3

x = 0 or x = -1 or x = 3

Thus,

The zeros of the function are: x = 0 or x = -1 or x = 3

As always, I am glad to help students like you!
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GIVING BRAINLIEST! A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the out
Serjik [45]

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

Area=length\times width

Area of garden and the walkway together is

Area=(14+2x)\times (10+2x)

396=140+28x+20x+4x^2

396=140+48x+4x^2

396=4(35+12x+x^2)

Divide both sides by 4.

99=35+12x+x^2

0=35-99+12x+x^2

0=-64+12x+x^2

Splitting the middle term, we get

x^2+16x-4x-64=0

x(x+16)-4(x+16)=0

(x+16)(x-4)=0

Using zero product property, we get

(x+16)=0\text{ and }(x-4)=0

x=-16\text{ and }x=4

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

6 0
3 years ago
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A triangle has side lengths of 39in, 40 in, and 58 in. Classify it as acute, obtuse, or right.​
S_A_V [24]
The triangle is acute
7 0
3 years ago
Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she r
kumpel [21]

19.99 + 15= 34.99

40-34.99 = 12.51

Jenny received $5.01 change.

3 0
2 years ago
I really need to understand this question! Please answer
mars1129 [50]

Answer:

- 3

Step-by-step explanation:

Using the law of logarithms

log_{b} x = n ⇔ x = b^{n}

let log_{b}( \frac{1}{b^3}) = n

log_{b}( b^{-3}) = n, then

b^{-3} = b^{n}

Since bases are the same on both sides then equate the exponents

⇒ n = - 3 → (4)

4 0
3 years ago
How to solve by factoring <br> x^2 + x = 0
Vedmedyk [2.9K]

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

4 0
3 years ago
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