Consider this quadratic expression.

x² – 10x + c + 11 – c

What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100

Answers

Answer 1

Answer:

c = 25

Step-by-step explanation:

Given this quadratic expression.

x² – 10x + c = 0

We are to find the value c that will make the expression a perfect square'

Using the completing the square method

Add the square of the half of coefficient of x

Coefficient of x = -10

Half of -10 = 1/2(-10) = -5

Square of -5 = (-5)^2 = 25

Hence the value of c to complete the expression is 25


Related Questions

Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get

Answers

Answer:

sdfshefvhwedsbdhcfbHISE

Step-by-step explanation:

FSDSd

32 POINTS! *URGENT*
When Pizza Paradise first opened their business in 2010, they decided on a price for their large cheese pizza. After their first full year in business, they decided they would increase the price at a constant rate each year for four years. The new price in 2011, after their first increase, was $7.75. The price in 2014 was $10.00.
What is the slope!

Answers

Answer:

The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x

Step-by-step explanation:

Answer:

lol i had the same question

Step-by-step explanation:


[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((​

Answers

Step-by-step explanation:

[tex]y = {2}^{x} [/tex]

This is a basic exponential function.

[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]

The (-x) exponent makes a reflection in the y-axis.

Find the measure of angle B
(9x+2) (5x-4)

Answers

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

Teagan was building a fence around his lawn.
The area of his lawn was 36 sq. yds. His lawn is a
square. How much fencing will he need?

Answers

Step-by-step explanation:

36×2=72

he will need 18 inches fencing

Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)

Answers

Answer:

[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]

Step-by-step explanation:

The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:

Original function: [tex]g(x)=41x^3+a[/tex]

Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:

[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].

Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:

[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

Find the value of x. Then classify the triangle by its angles.

Answers

Answer:

x

Step-by-step explanation:

sorry idol grade 8 lng ako eh sensya kana godbless

The ability to influence another is a function of ______
= Dependency

Answers

Step-by-step explanation:

The ability to influence another is a function of dependency hahahaja

HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?

Answers

The answer is ii and iii

EASY WORK!! Please look at the picture and yes it’s easy for people but not for me .

Answers

Answer:

299

Step-by-step explanation:

well, its 299 lol i ust did it somehow

Answer:

229

Step-by-step explanation:

650 / 100 = 6.5

6.4 times 46 = 299

What is the volume of the rectangular prism?

Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3

Answers

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

I need help! Thanks!

Answers

Bratatata shot shots

The degree of the polynomial function f(x) is 3.
The roots of the equation f(x) = 0 are - 1,0, and 4
Which graph could be the graph of f(x)?

Answers

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.

someone pls hurry and help !

Answers

Answer: I think false

aight can someone help me lol

Answers

It’s gonna be -1/8 correct me if I’m wrong:)

Hey ill give brainlist

Answers

Answer:

[tex]2.\:\frac{41}{9}[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].

Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].

Answer:

B is correct answer.................

Which of the following fractions is equivalent to -88/248 in least common terms?

Answers

Answer:

Its would be A -11/31

Step-by-step explanation:

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?​

Answers

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

k I need help again the last part says triangles​

Answers

Answer

C

One side is 3, another is 6, and the last side is 9

Hope this helps :)

Pls give me BRAINLIEST

Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4

Answers

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.

SOMEONE HELP PLEASE!!!

Answers

The answer is A! Good luck!!! Please brainliest

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.

Answers

Hello!

[tex]\large\boxed{9 \%}[/tex]

To find the percent tax, use the equation:

[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]

Substitute in the given values:

[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]

Multiply by 100 to find the percent tax:

[tex]0.09 * 100 = 9\%[/tex]

Answer: Its 9%

Step-by-step explanation:

Which equation is equivalent to 10=3/2(2x+4)?

a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12

Answers

Answer

the answer should be C. 10=3x+6

Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.

Answers

Answer:

15

Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15

Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010

Answers

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres


The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Which statement describes
the elevator's rate of change in elevation during this 15-second interval?

Answers

Answer:

elevator travel 4.5 feet per second

Answer: A

Step-by-step explanation:

the answer is A

You buy cheese in 1 pound bags. The recipe for burritos requires 1.7 ounces of cheese per serving. How many servings can you make?

Answers

Since there’s 16 ounces in a pound, you should be able to make 9 servings

In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

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