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omeli [17]
3 years ago
12

Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts

.
x² - 2x - 630
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

9514 1404 393

Answer:

  x = -7, x = 9

Step-by-step explanation:

We presume your equation is ...

  x² -2x -63 = 0

Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...

  (x -9)(x +7) = 0

Solutions make the factors zero.

  x -9 = 0   ⇒   x = 9

  x +7 = 0   ⇒   x = -7

The solutions to the quadratic equation are x = -7 and x = 9.

You might be interested in
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
3 years ago
Please help! <br> How do you know if the domain or the range of a graph are all real numbers?
RideAnS [48]

Answer:

Many reasons

Step-by-step explanation:

Is there an asymptote?

Is there a whole?

Is it a vertical or horizontal line?

What's the specific function?

4 0
3 years ago
List the base-5 numbers of the decimals 16 to 32.
zhenek [66]
18 20 22 24 26 28 30
7 0
3 years ago
Find the surface of each pyramid
Genrish500 [490]
Where’s the picture at
6 0
3 years ago
Solve, using the substitution method.
ss7ja [257]

Answer:

(-6,-5)

Step-by-step explanation:

X+y=-11

solve for x

x=-11-y

substiute x value into 2nd equation

2x-3y=3

2(-11-y)-3y=3

-22-2y-3y=3

-5y=25

y=-5

substitute -5 for y in either equation to find x

x+y=-11

x+-5=-11

x=-6

8 0
3 years ago
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