All categories

3 years ago

Find the roots of f(x)=x^2+10x−96

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0 or x - 6 = 0

x = -16 or x = 6

You might be interested in

Matilda always eats at least one of the following for breakfast: cereal, bread, or yogurt. On Monday, she is especially picky. I

Annette [7]

Answer:

Matilda eats Cereal on Monday.

Step-by-step explanation:

Breakfast options for Matilda are: Cereal (C), Bread (B) or Yogurt (Y).

Condition 1: If she eats cereal and bread she also eats yogurt.

Then Matilda's breakfast combination is: C + B + Y.

Condition 2: If she eats bread or yogurt, she also eats cereal.

Then Matilda's breakfast combination is: C + B or C + Y.

Condition 3: She never eats both cereal and yogurt.

Then Matilda's breakfast combination does not include is: C + Y.

Condition 4: She always eats bread or cereal.

Then Matilda's breakfast combination always includes is: C or B.

If Matilda eats bread (B) then according to Condition 2 she eats cereal (C) also. And since she eats both C and B she eats yogurt (Y) also.

But according to Condition 3 Matilda never eats both cereal and yogurt.

Hence she can never have all three for breakfast.

She cannot eat bread (B) alone [according to Condition 2], Matilda is left with only one option, i.e. Cereal (C).

Thus, Matilda eats Cereal for breakfast on Monday.

5 0

3 years ago

Solve (x-2<5) u (x+7>6)

grin007 [14]

x= | 1 < x < 3

x + 2 < 5 and x - 7 > -6

x < 5 - 2 and x > -6 + 7

I don't know if I am 100% right.

4 0

3 years ago

How do I solve this????

Arlecino [84]

Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so $\bf \begin{cases}
a+b=22\\
--------------\\
\boxed{b}=5a+4\qquad thus\\
--------------\\
a+\boxed{5a+4}=22
\end{cases}$

solve for "a", to see what the smaller one is

what's "b"? well, b = 5a + 4

3 0

3 years ago

What is the final answer of 100-8(12+8)+10

Anastasy [175]

Step-by-step explanation:

Check the image above dear....

7 0

3 years ago

Help me pls with my mathh

rjkz [21]

Sure let’s see.... I believe it is D, but I’m not 100%. Don’t give low ratings. I tried.

7 0

3 years ago