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Scorpion4ik [409]
3 years ago
10

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
If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
LuckyWell [14K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

8 0
3 years ago
Quarter x plus eighteen equals x
Jet001 [13]
Lets write as an equation:
x/4 + 18 = x
to get rid of fraction lets multiply the whole equation by 4:
x + 4*18 = 4x
x + 72 = 4x
3x = 72
x = 72/3
x = 24
that is the solution
3 0
3 years ago
Read 2 more answers
3 Which of the following numbers would be found
vesna_86 [32]

Answer:

C is the answer

Step-by-step explanation:

35+1=36

35-------------36

5 0
2 years ago
Read 2 more answers
X=3y+10 x=-8y-12<br><br> can u guys help me find the steps to solve this equations
Natalija [7]

Answer:

x=4, y=-2

Step-by-step explanation:

x = 3y + 10 \\ x =  - 8y -12\\ now \\ 3y  + 10 =  - 8y - 12 \\ 3y + 8y =  - 12 - 10 \\ 11y =  - 22 \\ y =  \frac{ - 22}{11}  \\ y =  - 2 \\ again \: putting \: the \: value \:of \: y \\ x = 3y + 10 \\ x = 3( - 2) + 10 \\ x =  - 6 + 10 \\ x = 4

8 0
2 years ago
Which of the following points IS a solution to the system: y &gt; - 3x + 4 / y &gt; 2x / - y &lt; 7 Selected answer is not corre
Lady bird [3.3K]

Answer:

Solution : Third Option

Step-by-step explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.

\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

6 0
3 years ago
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