Fill in the blank with a number to make the expression a perfect square. x^(2)-8x + ?

Answers

Answer 1

Answer:

[tex] {x}^{2} - 8x + \boxed{16} \\ = {x}^{2} - 2 \times 4 \times x + {4}^{2} \\ = {(x - 4)}^{2} [/tex]

So, 16 should be added to the expression to make it a complete square.

Formula used : (a-b)²=a²-2ab+b²


Related Questions

solve for x;

2x+3=11?

Answers

Answer:

2x+3=11

2x=11-3

x=8/2

x=4........

Answer: [tex]x = 4[/tex]

Step-by-step explanation:

Okay, so we start with our equation.

[tex]2x + 3 = 11[/tex].

Then we need to get x alone. To do that we subtract the 3 on the side with the x.

But what we do to one side, we do to the other. So we subtract 3 from the 11 as well

2x + 3 = 11    

      -3    -3

2x = 8

Then we divide by 2 on both sides to get X.

[tex]\frac{2x}{2} =\frac{8}{2}[/tex]

[tex]\frac{2x}{2} = x[/tex]

[tex]\frac{8}{2} = 4[/tex]

[tex]x = 4[/tex].

calculate the pay for the following day of a weekly time card given a wage of $16/hr

Answers

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?

Answers

Can you at least add the picture?

solve for c.

c - 7 = -9

Answers

Answer:

[tex]c = 2[/tex]

Step-by-step explanation:

In order to find the answer to this question you must add 7 on both sides.

[tex]c-7=-9[/tex]

[tex]+ 7 + 7[/tex]

[tex]-9 + 7 = -2[/tex]

[tex]c = -2[/tex]

Hope this helps.

IN THIS EQUATION WE HAVE TO FIND "C"IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAININ THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 THEN IT -7 WILL BE +7 IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 THEN IT -7 WILL BE +7 C- 7 = - 9IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 THEN IT -7 WILL BE +7 C- 7 = - 9 C = - 9 + 7 IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 THEN IT -7 WILL BE +7 C- 7 = - 9 C = - 9 + 7 C = - 16IN THIS EQUATION WE HAVE TO FIND "C" FIRST OF ALL WE WILL WRITE THE EQUATION AGAIN C - 7 = - 9 NOW 7 IS NEGATIVE SO WHEN IT WILL GO THAT SIDE AFTER -9 THEN IT -7 WILL BE +7 C- 7 = - 9 C = - 9 + 7 C = - 16 BECAUSE NEGATIVE SIGN GOES TO BIGGER NO. IT WILL BE - 16

(2+2+2):2•6•2. What is (2+2+2)divided by2•6•2. I no you do the parentheses first them multiple then add I think I still get wrong answer can you help

Answers

Answer: 144

Step-by-step explanation: (2+2+2)(2)(6)(2)

i can’t seem to find any answers for this can anyone help?

Answers

Answer:

2 2/3

Step-by-step explanation:

- - is the same as + so it's actually 2 1/3 + 5

Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?

a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10

Answers

Answer:

C. x divided by 5 times 5

Answer: A

Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x

Congruent and similar figures need help I’ll cash app anyone who does my math work $10 for 2 assignments

Answers

First part:
Angle A ≅ Angle T
Angle C ≅ Angle R
Angle D ≅ Angle U
AB ≅ TS
DA ≅ TU
ST ≅ BA

Wyatt’s class is having pizza party. Each group of 3 students eats 1 1/2 pizzas.

Answers

What is the question
the answer is 1/2

1 1/2 divided by 3 is 1/2

Which is the graph of y=3/4 x -3?

Answers

It would be graph A.

Answer:

graph A.

Step-by-step explanation:

Xavier opened a savings account with a deposit of $12,000.

The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?


0.9%

1.8%

2.7%

3.6%

Answers

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Calculation of the annual interest rate:

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

Which of the following have both 2 and −5 as solutions?

Answers

Answer:

Picture pls

Step-by-step explanation:

Answer:

Need more

Step-by-step explanation:

What is the value of the angle on the top left of this quadrilateral
112°
88°
90°
70°

Answers

88° is correct. Have a nice day!
88 is the correct answer you are looking for

A water pipe is 4t beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
0 -4.583 ft
0 -4.583 ft
0 -4.583 ft
O -4.583 ft

Answers

They are the same so ima go with the second one
They are all the same though

Regina is buying a new car. She sees two advertisements in the paper for the same car at two different prices from two different dealerships. Both dealers are offering a simple-interest loan for the price of the car. A photo of car includes two ads. Ad A shows the vehicle priced at twenty-four thousand two hundred dollars at six point five percent interest and an unknown number of years. Ad B shows an unknown price, at a five point three percent interest over nine years. Question 1 Part A Regina calculates that to buy the car in Ad A, the loan would ultimately cost her $41,503. Over how many years is the loan in Ad A to be paid back?

Answers

Answer:

11 years

Step-by-step explanation:

Given that:

Advert A:

Principal, p = $24,200

Interest rate, r = 6.5% = 6.5/100 = 0.065

Time, t =?

Total Repayment, A = $41,503

Using the relation :

A = p(1 + rt)

Plugging our values

41503 = 24200(1 + 0.065t)

41503 / 24200 = 1 + 0.065t

1.715 = 1 + 0.065t

1.715 - 1 = 0.065t

0.715 = 0.065t

t = 0.715 / 0.065

t = 11 years

Loan in Advert A will be paid back in 11 years

Answer:

11 years

Step-by-step explanation:

Given that:

Advert A:

Principal, p = $24,200

Interest rate, r = 6.5% = 6.5/100 = 0.065

Time, t =?

Total Repayment, A = $41,503

Using the relation :

A = p(1 + rt)

Plugging our values

41503 = 24200(1 + 0.065t)

41503 / 24200 = 1 + 0.065t

1.715 = 1 + 0.065t

1.715 - 1 = 0.065t

0.715 = 0.065t

t = 0.715 / 0.065

t = 11 years

Loan in Advert A will be paid back in 11 years

A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 25x37
B. 5 sxs 9
C. 2 D. 5< x < 9

Answers

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

Using sides of a triangle rule, the inequality gives the range of possible values for x is  5 < x < 9.

What is sides of a triangle rule?

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given that two sides of triangle are 2 and 7 inches.

Let the third side be x inches.

x < 2+7 ⇒ x < 9

7 < 2 + x ⇒ x > 5

2 < 7 + x, which is true for any positive value of x.

Thus,  5 < x < 9.

Learn more about sides of a triangle rule here

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I have to determine whether the sides of the triangle form a pythagorean triple.​

Answers

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?​

Answers

Minutes - 15/4
or
Seconds - 15/240

Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19

Answers

Answer:

it should be 3(6x+5)

Step-by-step explanation:

3(6x + 5) will  be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

9x - 4 + 4x + 5x + 19

By adding variables and constants individually

(9x + 4x + 5x) + (-4 + 19)

⇒ 18x + 15

Taking common 3

⇒ 3(6x + 5)

Hence "3(6x + 5) will  be equivalent expression of 9x - 4 + 4x + 5x + 19".

To learn more about expression,

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You have two cats. Each cat has a litter of K kittens. Write an expression that describes a total number of cats and kittens you have.

Answers

2xk=24
K=12
Hope that makes sense

write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Answers

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

[tex]f(1) = 3[/tex]

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561

what minus 11 an that equalls 28

Answers

Answer:39

Step-by-step explanation:

If you add 28+11 you get 39 making 39-11=28

The answer is 39 because I just know the answer

A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years

Answers

Answer:

The area after 6 years is [tex]1519.49km^2[/tex]

Step-by-step explanation:

Given

[tex]a = 2100[/tex] --- Initial Value

[tex]r = 5.25\%[/tex] --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

[tex]y = a*(1 - r)^t[/tex]

Here

[tex]t = 6[/tex]

So, we have:

[tex]y = 2100*(1 - 5.25\%)^6[/tex]

Convert percentage to decimal

[tex]y = 2100*(1 - 0.0525)^6[/tex]

[tex]y = 2100*(0.9475)^6[/tex]

[tex]y = 1519.47866516[/tex]

[tex]y = 1519.49[/tex] -- approximated

The area after 6 years is [tex]1519.49km^2[/tex]

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant

Answers

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

10g of Copper reacts with 5g of Sulfur

Write the ratio of Copper to Sulphur

Answers

I think it is 2:1 because If you simply them down

Write the number in standard form and expanded form. Three million four hundred eighty- seven thousand six hundred fifty-one​

Answers

Answer:

down below

Step-by-step explanation:

3,487, 651

(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +

(5 x 10) + (1 x 1)

11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare​

Answers

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?

Answers

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for$0.80. Rosi buys 5 sea shells for $2.00. Carlos buys 4 seashells for $1.60.

Answers

Answer:

what is the question

Step-by-step explanation:

the area of a circle is 94pi squared meters. What is the radius of the circle?

Answers

Answer: 47

Step-by-step explanation:

Radius is half of a crickets so if you divide 94 by 2 you will get 47

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