Consider the function y= (x + 6)2<br>

Determine the next step for solving the quadratic equation by completing the square.

Lady_Fox [76]

Answer:

-7/2 = -2(x-1/2)^2

Step-by-step explanation:

0 = –2x^2 + 2x + 3

Subtract 3 from each side

-3 = –2x^2 + 2x

Factor out the -2

-3 =- 2(x^2 -x)

Take the coefficient of x and divide by 2 and square it

-1 /2 = -1/2 ^2 = 1/4

Add it to each side Remember the -2 on the outside so we need to multiply it by -2

-2 *1/4 = -1/2

-3 -1/2= -2(x^2 -x +1/4)

-7/2 = -2(x^2 -x +1/4)

-7/2 = -2(x-1/2)^2

6 0

3 years ago

Read 2 more answers

PLEASE HELP, I'LL MARK BRAINLY (EASY)!

vfiekz [6]

For 1. The answer is “x = 4”
Explanation: 5 X 4 = 20 and 4 - 3 = 1
By adding all equal sides together the sum is 42 so x is 4

5 0

3 years ago

How to determine whether the pair of lines is parallel perpendicular or neither?

kodGreya [7K]

If the slopes of the 2 lines are equal then they are parallel.

If m1m2 = -1 (where m1 and m2 are the slopes of the 2 lines) then they are perpendicular.

If the 2 slopes do not match either the first or second conditions then they are neither parallel or perpendicular.

6 0

3 years ago

A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

EastWind [94]

Answer:

a) 96% CI: $0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

$p=\frac{114}{200}=0.57$

The standard deviation of the sample proportion is

$\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035$

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

$p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0

3 years ago

Find the sides of a triangle if two of its sides are equal, the third side is 1 1 3 cm longer than the others, and its perimeter

Helga [31]

Answer: $137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm$

Step-by-step explanation:

Let x be the equal sides of the triangle .

The , the third side would be x+113 cm.

The perimeter is the sum of all sides of a triangle.

So , The perimeter of triangle would be x+x+(x+113)= 3x+113 --------(1)

Since , it is given that the perimeter of triangle is 525. -----(2)

So from (1) and (2) , we have

$3x+113=525\\\\ 3x=525-113=412\\\\ x=\dfrac{412}{3}=137\dfrac{1}{3}$

Then, third side = $137\dfrac{1}{3}+113=250\dfrac{1}{3}\ cm$

Hence , the sides of a triangle are: $137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm$

7 0

3 years ago

Consider the function y= (x + 6)2​

Consider the function y= (x + 6)2