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blsea [12.9K]
3 years ago
15

What are the real zeros of x^3+4x^2-9x-36

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

x = -4\\x = -3\\x = 3

Step-by-step explanation:

To find the real zeros you must match the function to zero and factor the expression.

We have a polynomial of degree 3.

We try to group the terms to perform the factorization

x ^ 3 + 4x ^ 2-9x-36 = 0\\\\x ^ 2(x + 4) - 9(x + 4) = 0

Now we take (x + 4) as a common factor

(x + 4)(x ^ 2 -9) = 0

If we have an expression of the form (a ^ 2-b ^ 2) we know that this expression is equivalent to:

(a ^ 2-b ^ 2) = (a + b)(a-b)

In this case

a = x\\b = 3

So:

(x ^ 2 -9) = (x + 3)(x-3)

Finally:

x ^ 3 + 4x ^ 2-9x-36 = (x + 4)(x + 3)(x-3) = 0

The solutions are:

x = -4\\x = -3\\x = 3

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Answer:

\angle 2 \cong \angle 6

Step-by-step explanation:

The only pair of corresponding angles in the choices is angles 2 and 6.

Answer:

\angle 2 \cong \angle 6

8 0
3 years ago
Jamal started writing thank-you notes at 5:25. It took him 20 minutes to write them. He also spent some time writing addresses o
chubhunter [2.5K]

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Step-by-step explanation:

25 + 20= 45

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6 0
3 years ago
Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller piece
shusha [124]
The gcf of 90 and 72 is 18, so i divided both of them by 18 and i got 4 and 5, in total he would 9 pieces of wood
5 0
3 years ago
Helppppp how do u do this????
otez555 [7]
Lets x to be number of students.

1) If each students get 3 ml, then all students get 3x ml.
There was  n ml.
(n-3x) ml leftover

n - 3x = 5

2) If each students get 4 ml. 
then  all students get 4x ml.

n+21 = 4x

3)
   n - 3x = 5
- (n+21 = 4x) ------->   -n -21=-4x

n - 3x = 5
<span>-n -21= - 4x
</span>-3x-21=5 - 4x
x=5+21
x=26 

 Answer : 26 students

Check:
x=26, n-3x = 5, n-3*26=5, n=83
n+21 = 4x
83+21=4*26
104 = 104 true



7 0
3 years ago
Which equation, in point-slope form, represents a line with m= -4/7 that goes through the point (-1, 4)?
Gelneren [198K]
A is the correct answer.

Point Slope Form: y - y₁ = m(x - x₁)

m = slope ⇒ -4/7
Coordinate: (-1  ,  4)
                       x₁    y₁

All you have to do is plug in all of the information above into the formula.

y - 4 = -4/7(x +1)


4 0
3 years ago
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