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nignag [31]
3 years ago
14

Solve x2 - 8x + 14 = 6 - 2x x = or x =

Mathematics
2 answers:
Serhud [2]3 years ago
6 0

Answer:

x = 4 and x = 2

Step-by-step explanation:

If this is the equation you're looking for: x^2 - 8x + 14 = 6 - 2x then here:

x^2 - 8x + 14 = 6 - 2x

x^2 +14 = 6 +6x

x^2 +8 = 6x

x^2 = 6x - 8

√x^2 = √6x - 8

x = 4 and x = 2

nikdorinn [45]3 years ago
3 0
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x
=
4
,
2
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Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confide
ioda

Answer:

The question is incomplete, but the step-by-step procedures are given to solve the question.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{\sigma}{\sqrt{n}}

The lower end of the interval is the sample mean subtracted by M.

The upper end of the interval is the sample mean added to M.

The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).

7 0
3 years ago
The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy
melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

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P=2(x+y)

we have

P=48\ cm

so

48=2(x+y) ------> equation A

x=2y+6 ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

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x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

4 0
3 years ago
How do you do this? plz I really need help.
Vlada [557]
The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent
7 0
3 years ago
Number 17 and 16 plz help
fgiga [73]
Hi. Okay, #16 says write a decimal between 0.5 and 0.75. Then write it as a fraction in simplest form and as a percent.

write a decimal = I will pick 0.15 - now we need to write it as a fraction since the 5 is in the hundredths place our fractions would be:

15/100 = 3/20 (simplest form)

Now to change .15 to a percent we simply move the decimal two places to the right and add a % sign so. 15 = 15%

Question 17
How would you write 43 3/4% as a decimal

For this one, it is a lot easier than you think. The answer is 43.75. Let me tell you how...

To change 3/4 to a decimal, you are merely dividing the 4 into 3.00, hence the .75 and then just bring the 43 over. With problem like this that end in 1/4, 1/2, 3/4 just think of 4 quarters---1 quarter =.24, 2 quarters = .50, 3 quarters =.75

Question 16 answer is: .15,  15/100=3/20 and 15%
Question 17 answer is: 43.75

I hope this helps. If you have any questions, please don't hesitate to ask.

Take care,
Diana


8 0
3 years ago
The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x. A) 20 Eliminate B) 30 C) 40 D) 50
statuscvo [17]

Answer:


Step-by-step explanation:

2x+3x+4x=180

8x=180

divide by 8 to both sides

x=22.5

6 0
3 years ago
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