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denis-greek [22]
3 years ago
6

Solve each equation by completing the square. Write both answers separately.

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Now we can solve a Quadratic Equation in 5 steps: Step 1 Divide all terms by a (the coefficient of x 2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

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What is the rate of increase in water pressure in atm/km
Masja [62]

Answer:

Rate of increase in water pressure is 992

Step-by-step explanation:

5 0
3 years ago
Jerry is 8 years younger than Patricia. Six years ago, Patricia was 3 times as old as Jerry was then. Which system of equations
MissTica
<span>Jerry is 8 years younger than Patricia, so: (1): Jerry = Patricia - 8 Six years ago, Patricia was 3 times as old as Jerry was then, so: (2): (Patricia - 6) = (Jerry - 6)*3 Putting equation 1 in to equation 2 (Patricia - 6) = (Patricia - 8 - 6)*3 Patricia - 6 = 3Patricia - 42 36 = 2Patricia Patricia = 18 And so Jerry = 10</span>
4 0
3 years ago
If x = 29 but y = x + x - 2x, how can x be represented algebraically through the context of polynomial division
ryzh [129]

Answer:

y will equal 29 + 29 - 2(29) which equals 0

when y = 0, the solution is the x-axis

hope this helps! <3

7 0
1 year ago
An SRS of 450 450 high school seniors gained an average of ¯ x = 20 x¯=20 points in their second attempt at the SAT Mathematics
maria [59]

Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where n= sample size.

\sigma = standard deviation.

\overline{x}= sample mean.

z*= Critical value.

Given : n= 450

\overline{x}=20

\sigma=49

Critical value for 95% confidence = z*=1.96     [From z-value table]

Then, the 95% confidence interval will be :-

20\pm (1.96)\dfrac{49}{\sqrt{450}}

\approx 20\pm (1.96)(2.31)

\approx 20\pm 4.53

=(20-4.53,\ 20+4.53)=(15.47,\ 24.53)

Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)

3 0
3 years ago
Which of the following is not an example of like terms?
Viktor [21]

Answer:

A. 2 and-6

Step-by-step explanation:

Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.

So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.

4 0
1 year ago
Read 2 more answers
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