In order to complete the square for the equation below, what value should be added to both sides of the equation?
x2 - 8x + ? = 42 + ?

Answers

Answer 1

Answer:

? = 16

Step-by-step explanation:

x2 - 8x + ? = 42 + ?

1. Take the coefficient of the middle term 8x, which is 8 and divide it by 2.  [tex]\frac{8}{2} = -4[/tex]. Then square it  [tex]-4^{2} = 16[/tex]

2. Take 16 and add it to both sides: [tex]x^2 - 8x + 16 = 42 + 16[/tex]

2. Take half of the coefficient 8 that you divided by 2, which is 4 and insert 4 into the equation [tex](x -4)^2 = 58[/tex]

3. ? = 16


Related Questions

Shelia is baking a few cakes for the bake sale for her school. Each cake requires 5/6 cups of sugar. How many cakes can she bake if she has 7 1/2 cup of sugar?

Answers

7 1/2 / 5/6
15/2 / 5/6
15/2 x 6/5
90/ 10
= 9

9 cups can be baked if she has 7 1/2 cup of sugar in

What is the end behavior of f(x)=(x−3)3−4x3(x+2)3+3(x−1)6
?



As x→−∞, f(x)→−∞
. As x→+∞, f(x)→−∞
.

As x→−∞, f(x)→−∞
. As x→+∞, f(x)→+∞
.

As x→−∞, f(x)→+∞
. As x→+∞, f(x)→−∞
.

As x→−∞, f(x)→+∞
. As x→+∞, f(x)→+∞
.

Answers

Answer:

g8

Step-by-step explanation:

How many outcome sequences are possible when a die is rolled 4 times where we say for instance that the outcome is 3 4 3 1 if the first roll landed on 3 the second on 4 the third on 3 and the fourth on 1

Answers

Answer:

the possible outcome sequences when a die is rolled 4 times is 1296

Step-by-step explanation:

 Given the data in the question;

a die is rolled 4 times

and outcomes are { 3, 4, 3, 1 }

we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }

Now when we roll a die lets say, r times

then the total number of possible outcomes will be;

N = [tex]n^r[/tex]

given that; r = 4

Hence if we roll a die 4 times;

Total number of possible outcome N = 6⁴

N = 1296

Therefore, the possible outcome sequences when a die is rolled 4 times is 1296

Given f(x) = 2x – 6, find f( – 4).

Answers

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

The weights of baskets of strawberries are normally distributed with a mean of 3.8 ounces and a standard deviation of 1.1 ounces. One grocery store advertises that the weight of their strawberries is in the 97.5th percentile. How many ounces do their strawberries weigh?
A 3.8 ounces
B 4.9 ounces
C 6 ounces
D 7.1 ounces

Answers

Answer:

6 ounces

Step-by-step explanation:

this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so

1.96=(x-3.8)/1.1

multiply both sides by 1.1 and then add 3.8

you can also use scientific calculator.

second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1


Given circle o, what is the length of arc AB if m AOB =40° ?
Radius is 9

Answers

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

Anna wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7 1 2 m by 3 1 4 m. Find the area the grass seed needs to cover.

Answers

Answer:

223,568

Step-by-step explanation:

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?
A. 119:120. B. 1: 121. C. 121/120. D 120/1





PLEASE HELP ​

Answers

Answer:

Answer is 120/1

Step-by-step explanation:

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?

Marsha an type in 1 minute = 120 words

The ratio can be described word types and time = 120 words per 1 min

                                                                                 = 120/1

Answer: D

Step-by-step explanation:

My answers correct becuase, A ratio is just the numbers put together put a : in between them. So if it is asking us words to the time all we have to do is put 120 and then a semicolone and 1. 120:1 And D is the one that has that answer so D is correct. Additonal Information: Also sometimes you would have to divide the number equally to get the ratio.

Hope This Helps!

Which equation can be used to solve for x in the following diagram

Answers

Answer:

10x+10 = 110

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

10x+10 = 110

guess what property is used:

[tex] \frac{-4}{7} + \frac{5}{8} = \frac{5}{8} + ( \frac{ - 4}{7} )[/tex]
[tex]( \frac{1}{2} \times \frac{4}{7} ) \times ( \frac{ - 2}{3} )= \frac{1}{2} \times ( \frac{4}{7} \times ( \frac{ - 2}{3} ))[/tex]
7/-8 x (-8/7)=1

i will mark u brainliest if u answer this correctly​

Answers

Answer:

Step-by-step explanation:

1 no is commutative property.

2 no is associative property

3 no is multiplicative inverse property.

Answer: associative property

Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.

Answers

Answer:

t=9/10 Hope that helped

Hope this helps!

Armycee:)

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing. Express your mathematical thinking.

Answers

jshsjsjnhashsjsuhfjd
An equation that could help is c=50+8m

I need this by Friday please !
Find a degree measure of each angle in the triangle!

Answers

Answer:

B=19

C=42

D=119

Step-by-step explanation:

First, fine the value of x, than use that in each angle to find the measurement.

All angles together in the triangle equal 180

Set your formula up as

180=(x+2)+(3x-9)+7x

180=x+3x+7x+2-9

180-2+9=11x

187=11x

187/11=x

17=x

Angle B

B=x+2

B=17+2

B=19

Angle C

C=3x-9

C=3*17-9

C=42

Angle D

D=7x

D=7*17

D=119

Now add all 3 tougher to check your work

19+42+119 = 180

two algebra questions​

Answers

I’m not able to answer the second question, so I’m sorry about that, but for the first one it’s x = 8
The extraneous solution is 8
The value of the constant ratio is 2

PLEASE ANSWER NOW!!!! I JUST NEED TO KNOW IF ITS CONTINUOUS OR DISCRETE but for other people answer the others too.
A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed.

The relationship between the total cost for labor and the amount of carpet installed is
A.continuous
B.discrete
.

The domain of the relation is x ≥
A. 0
B. 1.5
C. 40
.

The range of the relation is y ≥
0
1.5
40
.

Answers

Answer:

1. continuous2. 03. 40

Help please!!!!!!!!!

Answers

Answer:

1,5

Step-by-step explanation:

there is an obvious pattern in the coordinate plane and the coordinates (5, 1) completes that pattern

hope that helped :)

Answer: (4,2), (1,2), (4,5]

Step-by-step explanation: hope this helps

A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?

Answers

Answer:

624

Step-by-step explanation:

12+18+22=52 52×12=624

Answer:

624

Step-by-step explanation:

12x12= 144        cookies

18x12= 216        muffins

22x12= 264       scones

144+216+264= 624

GIVING OUT BRAINLIEST ANSWER PLSS HELP!

Answers

Answer:

It should be c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent.  But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.

A does not have to be true.

There are five pizzas at
the party. Half of them
have already been eaten.
How many pizzas are
left?

Answers

There would be 2.5 pizzas left since you cannot split the number 5 into a complete whole number. So 2 and a half would be the answer.

PLZ ANSWER WILL GIVE BRAINLIEST!!!

Answers

Answer:

4W+8+4W+4=180

8W+12. =180

. 8W=180-12

8W=168

W=21

BPC =4W+4

DE=360-(4W+4+4W+8+4W+4+2W+11)

=360-(14W+27)

=360-(14×21)-27

=360-321

= 39

C is a circle with radius r. Which of the following is true? Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2

Answers

Answer:

A and C and E are correct

Step-by-step explanation:

Circumference = 2*pi*r

C is a circle with a radius r. The correct statements are; A. The diameter of C is 2r , C: The circumference of C is 2pi*r,  E. One-quarter of the circle has a length(pi*r)/2.

What is the area of the circle?

Supposing that a considered circle has its radius of 'r' units.

Then, its area and circumference are given as:

[tex]Area = \pi r^2 \: \rm unit^2\\ \\Circumference = 2\pi r \: \rm units[/tex]

The radius of a circle is half of its diameter.

Therefore, the correct statements are;

A. The diameter of C is 2r

C: The circumference of C is 2pi*r

E. One-quarter of the circle has a length(pi*r)/2

Learn more about the equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

Help me pls this is hard

Answers

Answer:

it is C I did the before it is really easy

Can someone help me

Answers

Answer:

B = 129

Step-by-step explanation:

Opposite angles of a parallelogram are equal (or congruent)

A and C are both 51.

All angles in a parallelogram equal 360

Take both the known angles and substract from 360, than divide by 2.

B = (360 - 51 - 51)/2

B = 129

Please help. Math is not for me especially not trigonometry

Answers

Use SOH
To find sin=O/H or 5/25
Then use the inverse sin^-1(5/25)
And find the angle

PLEASE I NEED HELP WITH THIS PROBLEM
Order the following numbers from least to greatest.

A. -12,-35,-23,58
B.-12,-35,58,-23
C.-23,-35,-12,58
D.-35,-23,-12,58
Explain how

Answers

Answer:

D. -35,-23,-12,58

Step-by-step explanation:

Image a line that goes to the negative, as well as the positives, -35 would be lower on that line

-35          -23       -12        0       12      23          35           58

--------------------------------------------------------------------------------------

negatives would be the least
anything above 0 would normally be the greatest

so d has all the numbers in the correct order

Elton has three quarters in his pocket and some nickels. The total value of the coins is $1.05. Which equation could be used to determine the total number of nickels (n) in his pocket.

A. 3 + 0.05n = 1.05
B. 0.75 + 0.05n = 1.05
C. 3 + n = 1.05
D. 3n + 5 = 1.05

Answers

Answer:

C

plz mark brainliest

What is the area of the figure below?

Answers

The answer would be 61 in^2

A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white?

Answers

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

A, D and F

Find the graph of the inequality y+2<1/4(x-4)

Answers

Answer:

0

Step-by-step explanation:

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