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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

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PLEASE HELP 50 POINTS 100 students who are in 10th or 11th grade were asked if they participated in at least one extracurricular
Marina86 [1]

There are 2 variables in this problem. One variable is the class number and other variable is the participation in extracurricular activities. Each variable has further two categories. There are two classes: Class 10 and 11. And students either participate or do not participate in extracurricular activities, which makes 2 categories. 

The best approach to solve this question is to build a table and start entering the given information in it. When the given data has been entered fill the rest on basis of the data you have.

18 students from grade 11 participate in at least one Extracurricular activities. This means the rest students i.e. 22 students from grade 11 do not participate in Extracurricular activities. 

32 students from grade 10 participate in at least one Extracurricular activities. This means total students who participate in at least one Extracurricular activities are 18 + 32 = 50 students.

The rest 50 students do not participate in at least one Extracurricular activities. From these 22 are from class 11. So the rest i.e. 28 are from class 10.

5 0
3 years ago
I need the answer please and can u answer my recent to.
ale4655 [162]

Answer:

30 hours.

Step-by-step explanation:

Richard can build 15 snowballs in 1 hour

But 2 snowballs melt every 15 minutes

In 1 hour, the number of snowballs that will have melted is:

\frac{60}{15} × 2 = 8

The number of snowballs that will have remained = 15 - 8 = 7

So 7 snowballs will have remained in 1 hour

For 210 snowballs to have remained, it will take:

\frac{210}{7} × 1 = 30 hours.

3 0
3 years ago
Find the equation of the plane that passes through the point (4,3,−2)(4,3,−2) and contains the line x(t)=−4−4t,y(t)=−1+3t,z(t)=1
aniked [119]
We Need more info please us at brainly would like you to provide more information so we can answer your question right away thank you have a goodnight.
6 0
3 years ago
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slamgirl [31]
The answer is the first one
5 0
3 years ago
Read 2 more answers
The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
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