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Sonja [21]
3 years ago
12

The zeros of a function P(x)=x2-2x-24

Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

x = -4 and x = 6

Step-by-step explanation:

Factor using AC method.

1 × -24 = -24

Factors of -24 that add up to -2 are +4 and -6.

P(x) = (x + 4) (x − 6)

Therefore, zeroes of P(x) are x = -4 and 6.

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Solve for x 2x/3 +1 =3
Bess [88]

Answer:

x=3

Step-by-step explanation:

Hello,

The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.

       2x/3+1=3        First thing: subtract 1 from BOTH sides.

               -1  -1

----------------------

          2x/3=2       Multipliy by 3 on both sides

              *3 *3

-----------------------

            2x=6         Divide by 2 on both sides

             /2 /2

-----------------------

           x=3

I hope this helped you!!!

5 0
3 years ago
The work shows the first steps of writing a partial fraction decomposition.
Alex73 [517]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
A quadratic parent function is translated 3 units to the left and 4 units up
tatuchka [14]
The answer would be (x+3)^2+4
5 0
2 years ago
Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0
3 years ago
Pre calculus law of sines
lakkis [162]

Answer:

AB = 6.5

Step-by-step explanation:

C = 59°

AC = 7

CD = 6

AB = ?

Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)

AB² = 7² + 6² - 2(7)(6)*Cos(59)

AB² = 85 - 43.26

AB² = 41.74

AB = √41.74

AB = 6.5 (nearest tenth)

6 0
2 years ago
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