Rewrite the function by completing the square.
f(x) = x^2 – 8x – 2

Answers

Answer 1

Answer:

[tex](x-4)^2-18[/tex]

Step-by-step explanation:

[tex](x^2-8x-2)\\= (x^2-8x+16)-18\\= (x - 4)^2 - 18[/tex]

Answer 2

Answer:

-4 and -8 (Khan)


Related Questions

What is the vertical asymptote

Answers

Answer:

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. It will be the red ones

Step-by-step explanation:

(They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

What is equivalent to 4x + 6y

Answers

Answer:

Is that all...

Step-by-step explanation:

Is there any other information if not then it is impossible to answer that question.

When using substitution to solve this system of equations
6y + 2x = 3
2x + y = 8
which variable will you solve for?

Answers

Hello, find the work out in the attached image
X = 4.5
Y = -1

Use factoring to write an expression that is equivalent to 28w - 40.

Answers

Answer:

4(7w+10)

Step-by-step explanation:

Answer:

4(7w+10)

Step-by-step explanation:

how many months until summer break I NEED TO KNOW.

Answers

Answer:

approximately 56 days till summer break, and i cant wait for it no more

Number 12 AND QUICKKKK

Answers

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

A is the answer...........

Help[tex]\frac{\sqrt[3]{175} }{\sqrt[3]{50} }[/tex]

Answers

Answer:

take 175 cubed

50 cubed

then divided your answers

Step-by-step explanation:

I hope this helped a little

14 and 2 will be the answer

Describe how to find the sale price of an item that has been discounted 25%.

Multiply the original price by ___% to find the sale price.

Answers

Answer:

Multiply the original price by 75% to find the sale price.

Step-by-step explanation:

100 - 25 = 75%

Solve for x

5/6 = x/4

Answers

Answer:

hi

Step-by-step explanation:

hi

Answer:

it would be x= 10/3

Step-by-step explanation: If this answer is incorrect my apologies.

Y is such that 4y _ 7<= 3y and 3y <= 5y +8. What range of values of y satisfies both inequalities

Answers

Answer:

-4≤y≤7

Step-by-step explanation:

Given the inequality expressions

4y - 7 ≤ 3y and 3y≤5y+8

For 4y - 7 ≤ 3y

Collect like terms

4y - 3y ≤ 7

y ≤ 7

For  3y≤5y+8

Collect like terms

3y - 5y ≤ 8

-2y ≤ 8

y ≥ 8/-2

y ≥ -4

Combining both solutions

-4≤y≤7

Hence the range of values of y that satisfies both inequalities is -4≤y≤7

Write an equation in slope intercept form for the line with slope -3 and Y intercept one

Answers

y = -3x + 1y = mx + bm = slopeb = y-intercept

Natalie earned a grade of 79 on her multiple choice science final that had a total of 200 problems. How many problems on the final exam did Natalie answer correctly?

Answers

Answer:

158 correct

Step-by-step explanation:

79 out of 100 = 158 out of 200

WILL GIVE BRAINLIEST AND 50 POINTS
what is the reactants and products of Fe2O3+3CO→2Fe+3CO2

Answers

Step-by-step explanation:

The compounds that are found on the left of a chemical reaction (the side with the arrow's tail) are the reactants. Therefore our reactants are Iron(III) oxide and Carbon monoxide.

The compounds found on the right-hand side of a chemical reaction/after the arrow are the products. Therefore our products are Iron and Carbon dioxide.

Answer:

[tex]\large \boxed{\sf Reactants \rightarrow Fe_2O_3, \ CO}[/tex]

[tex]\large \boxed{\sf Products \rightarrow Fe, \ CO_2}[/tex]

Step-by-step explanation:

The substance(s) to the left of the arrow are called reactants

The substance(s) to the right of the arrow are called products

what can you tell about the mean of eachdistribution

Answers

Answer:

In a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability p(x), and then adding all these products together, giving. .

Step-by-step explanation:

I really hope this helps have a wonderful day

Harry and John share £60 in the ratio of 2: 1 work out how much money Harry gets ​

Answers

Answer:

40

Step-by-step explanation:

3u-> 60

1u-> 20

2u->40

Help pls btw I will give brainly

Answers

Answer:

[tex]\frac{3}{8}[/tex] feet²

Step-by-step explanation:

The area ( A) is calculated as

A = length × width

   = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{2}[/tex] ← multiply numerators/ denominators

   = [tex]\frac{3(1)}{4(2)}[/tex]

   = [tex]\frac{3}{8}[/tex]

pls help LOTS OF POINTS!!!! HELP!!!!!!

Answers

Answer:

8

Step-by-step explanation:

explain how you know that y is not directly proportianal to x

Answers

You know this when the two values (x and y) are inversely proportional to each other by their product being constant (always remaining the same). This means when x increases y will decrease.

Hope this helped :)

If r varies directly as t andr= -20 when t = 4, find r when t= -6.

Answers

Answer:

Step-by-step explanation:

t r = k/t Where k = constant of proportionality 132 = k/4 k = 4 x 132 k = 528 Formula r = 528/t Using formula r = 528/32 r = 16.5 Hope this helps :-) ...

The value of r should be considered as the 16.5 at the time when t = 4.

Calculation of the value of r:

Since we know that

t r = k/t

here k = constant of proportionality

So,

132 = k/4

k = 4 x 132

k = 528

Now

r = 528/t

r = 528/32

r = 16.5

hence, The value of r should be considered as the 16.5 at the time when t = 4.

Learn more about radius here: https://brainly.com/question/3708862

A conjecture is an educated guess
based on known information. Given
that Ray BA and Ray BC are opposite
rays, what conjecture can you make
about the angles?

Answers

Answer:

the angle abc is 180 degrees

Step-by-step explanation:

the angle about 80 rays of it

Which value of x makes the value of the expression x - 11.5 a negative number?

Answers

Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

(7th grade math question)

Sales of the Xbox One increased from 10,000 to 18,500 in November. What was the percent increase?

A) 8.5%
B) 45.9%
C) 85%
D) 85.8%

please answer soon​

Answers

C is the answer hope it’s correct

Answer:

C) 85%

Step-by-step explanation:

i hope this is right ^w^

Your class wants to raise more than $350 for the Freshman Party and you choose to sell candy and cookies to accomplish this task. You earn $6 on each basket of candy, b, and $3 on each box of cookies, c, that you sell. If the number of boxes of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?

Answers

Answer:

16 baskets of candy.

Step-by-step explanation:

78 boxes of cookies times $3 per box equals $234.

$350-$234=$116 left you need to make so-

each basket of candy earns $6, divide $116 by $6 to equal 56.

You will need to sell 56 baskets of candy at $6 each to reach your goal of $350 .

Rick has $8x and Helen has twice that amount. They save $3 each per week.
What amount will be the sum of their money 4 weeks from now?​

Answers

Answer:(24x - 22)

Step-by-step explanation:

(24x - ww)

8.

For the function whose graph is shown, which is the correct formula for the function?


A. y = |x + 1|

B. y = |x – 1|

C. y = |x| – 1

D. y = |x| + 1

Answers

Answer:

C. y = |x| – 1

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

x

y

2

1

1

0

0

1

1

0

2

1

A basket contains 2 cartons of white milk, 3 cartons of chocolate milk, and 3 cartons of strawberry milk. A carton of milk is pulled out of the carton without replacement. Then another carton of milk is pulled out without replacement. What is the probability of pulling out 1 carton of chocolate milk followed by another carton of chocolate milk?

Answers

Answer: 3/8.

Step-by-step explanation: You have to write a fraction with the amounts of milk in the denominator and the amount of chocolate in the numerator.

Answer:

3/28

Step-by-step explanation:

Total number of cartons:

2 + 3 + 3 = 8

Let cm be the chocolate milk, there are 3 cartons of cm.

The probability of the first pull of cm is:

P(cm) = 3/8

Then we have 7 total left and 2 cm.

The probability of the second cm is:

P(cm) = 2/7

Now the probability of the two pulls:

P(cm and cm) = 3/8*2/7 = 3/28

At Garland School, 3/5 of the 490 students are boys.

At Bowood School, 5/7 of the 945 students are girls.


Which school has the greater number of girls and by how many?
You must show your working.

Answers

Step-by-step explanation:

the bowood school by 455 kids

You have $500 in a savings account. How long will it take to double that
amount at an 8% annual interest rate?

Answers

Answer:

Step-by-step explanation:

The formula for compound annual interest is  A = P(1 + r)t  where  

A = Accumulated or final amount  (double $500 = $1000)  

P = Principal or original amount  ($500)  

r = Rate as a decimal (0.08)

t = Time in years  

1000 = 500(1 + 0.08)t

2 = 1.08t  

Take the logarithm of both sides.  I prefer the natural logarithm ln, but if you're more comfortable with base 10 logs they will work just as well  

ln(2) = ln(1.08t)  

ln(2) = t*ln(1.08)

t = ln(2)/ln(1.08)

t = 9.0065 years  

Check:  500*1.089.0065 = $1000

Your boss is submitting a report to an organization that ensures employees in your industry are paid fairly. He asked you to calculate some summary statistics including the range and the mean. The salaries are as follows: $48,000, $41,000, $29,000, $48,000, $32,000. Provide the statistics for your boss.

Answers

Answer:

hana,dul,set,kaenada-in

Algebra 1 Chapter 5 test

Answers

I didn't understand your question.

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