What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

–6x2 - 235 = -48x + 11

Answers

Answer 1

Answer:

6(x-5)2+288

Step-by-step explanation:

6x2-60x+438  Factor out a 6 from the first 2 terms.

6(x2-10x     )+438  Do (b/2)2 to find the c term.  (-10/2)2 = 25

6(x2-10x+25)+438-150   Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation.  To keep the equation in balance, you have to subtract 150 from the other term.  Simplify

6(x-5)2+288

Answer 2

Answer:

6x2-60x+438  Factor out a 6 from the first 2 terms.

6(x2-10x     )+438  Do (b/2)2 to find the c term.  (-10/2)2 = 25

6(x2-10x+25)+438-150   Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation.  To keep the equation in balance, you have to subtract 150 from the other term.  Simplify

6(x-5)2+288

Step-by-step explanation:


Related Questions

please answer asap! i’ll mark you brainliest

Answers

Answer: y = ⅘x + 48      

The x intercept is:  -60

The y intercept is:  48


-10d4e3f5 = 15d2e2f

Answers

Answer:

solve for D: d=0

solve for f: f=0

answer based on taking 'e' as a scientific notation

x/10.7 =7
try finding the value of x.
the answer is not 1.52857142857

Answers

Answer:74.9

Step-by-step explanation:

I RLY NEED HELP RIGHT NOW I NEED TO TURN THIS IN 20 MINUTES PLZ HELP ME !!!!! :(:(:( :( :( :(

Answers

Answer:

c=11

Step-by-step explanation:

8+9+12+c/4= 10

17+12+c/4=10

29+c/4=10

29+c=40

c=40-29

c=11

Answer:

I THINK its 11

Step-by-step explanation:

Mean is just average and if you add the cars sold in the first 3 months it equals 29. we need an average of 10. 40 divided by 4 is 10. we divide by for because it is the number of months. to get to 40 overall cars, he would need to sell 11 cars in the 4th month.

Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?

Answers

You will simply do 3% of $620,000 which will give you $18,600.

name the multiplicative inverse of 3/7

Answers

Answer: I think it would be 7/3

Step-by-step explanation:

you just flip it backwards

What is 9/8 as a decimal

Answers

Answer: 1.125

Step-by-step explanation: Hopefully this helps!

A truck can be rented from Company A for ​$110 a day plus ​$0.80 per mile. Company B charges ​$30 a day plus ​$0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company​ B's?

Answers

Answer:

800 miles

Step-by-step explanation:

Let the number of miles be represented by x

Company A for ​$110 a day plus ​$0.80 per mile.

$110 + $0.80 × x

110 + 0.80x

Company B charges ​$30 a day plus ​$0.90 per mile to rent the same truck.

$30 + $0.90 × x

30 + 0.90x

110 + 0.80x = 30 + 0.90x

110 - 30 = 0.90x - 0.80x

80 = 0.1x

x = 80/0.1

x = 800 miles

800 miles driven per day makes the rental cost for Company A a better deal than Company​ B's

Jared is reading a 300-page book he borrowed from the library. So far, he has only read 85 pages. He has 5 more days to read the book until he returns it to the library. How many pages must he read on average per day in order to finish the book before he returns it to the library?

Write an equation that represents the problem. Define any variables.

Solve the equation. Show all work.

Explain what the solution represents.

Answers

Answer: 43

Step-by-step explanation: subtract 300 by the amount he has already read. That gives you 215. Divide 215 by the amount of days he has left. That gives you 43.

Answer:

It should take him about 4 days

PLEASE HELP DUE TOMORROW 1. An artist is selling children’s crafts. Necklaces cost 2.25 each and bracelets cost 1.50 per each. a: write the equation for the cost, C, of a combination of necklaces, N, and bracelets, B. C= Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. • 5 necklaces and 1 bracelet • 2 necklaces and 5 bracelets • 3 necklaces and 3 bracelets • 4 necklaces and 2 bracelets • 3 necklaces and 5 bracelets • 6 necklaces and no bracelets • No necklaces and 8 bracelets 2. The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club. a: if there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost? Show your reasoning. b: the equation 201.50=f+6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per bracelet = 1.50

Cost per necklace = 2.25

Let :

number of necklace = n

Number of bracelet = b

Cost equation C ;

C = 1.5b + 2.25n

Number of necklace that could be sold for exactly $12

5 necklaces and 1 bracelet :

1.5 + 2.25(5) = 12.75

•2 necklaces and 5 bracelets:

1.5(5) + 2.25(2) = 12

• 3 necklaces and 3 bracelets

1.5(3) + 2.25(3) = 11.25

• 4 necklaces and 2 bracelets

1.5(2) + 2.25(4) = 12

• 3 necklaces and 5 bracelets

1.5(5) + 2.25(3) = 14.25

• 6 necklaces and no bracelets •

1.5(0) + 2.25(6) = 13.5

No necklaces and 8 bracelets

1.5(8) + 2.25(0) = 12

Amount charged per Tshirt = c

Setup fee = $40

Number of students in drama club = 21

Total cost of order = $187

Calculate C ;

Total order cost = set up fee + (cost per shirt * number of shirts)

Total order cost = 40 + 21c

187 = 40 + 21c

187 - 40 = 21c

147 = 21c

c = 147 / 21

C = 7

Hence cost per shirt = $7

How many times does 45 go into 704

Answers

Answer:

15.64

Step-by-step explanation:

Answer:

15.64 times

Step-by-step explanation:

704/45= 15.64

4y = 2x - 4
2y = -4x + 2

Answers

59 that the anaqueles y un poco del aire

2 9/10 + 1 7/18

If nobody can answer this i have cancer

Answers

Answer:4 13/45

Step-by-step explanation:

29/10 +25/18

Len 10,18 = 90

9(29)+5(25) /90

261+125 /90 = 386/90 = 4 13/45

can someone help me put these in order please?

Answers

Answer:

See below.

Step-by-step explanation:

2(x-3) = 7x + 39

2x - 6 = 7x + 39

Subtract 2x from each side

-6 = 5x + 39

Subtract 39 from each side

-45 = 5x

Divide both sides by 5

-9 = x

HELP ASAP

what is the best estimate for √216?

A.) 108
B.) 15
C.) 14
D.) 9

Answers

Answer:

The answer is C.) 14

The conservation club has 32 members. There are 18 girls in the club.

What is the ratio of girls to boys in simplest form?
A.9/7

B.7/16

C.7/9

D.9/16

Answers

Answer:

C. 7/9

Step-by-step explanation:

It would be 14/18, and you divide 14 by 2 and 18 by 2, with a result of 7/9.

Answer:

the answer is a

Step-by-step explanation:

What are the zeros of this quadratic function?
AX) = (x-7)(x+8)
ОА.
x=0 and x= -8
OB.
x= 7 and x=-8
Ос.
x= -7 and x= 8
OD.
x= 0 and x=7

Answers

Answer:

B

Step-by-step explanation:

Given

f(x) = (x - 7)(x + 8)

To obtain the zeros , let f(x) = 0, that is

(x - 7)(x + 8) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 8 = 0 ⇒ x = - 8

n the inequality -x > 5, what must you do to solve the problem?
you divide by 1
you divide by 5
you divide by -1
you divide by -5

Answers

Answer:

You divide by - 1

Step-by-step explanation:

-x divided by - 1 is x

5 divided by - 1 is - 5

x > - 5

You divide by -1 in this answer

Which table has a constant of proportionality between y and x of 0.6

Answers

Answer:

B

Step-by-step explanation:

ye

What is the distance between the following points?

Answers

Answer:

9.8

Step-by-step explanation:

[tex]\sqrt{(6-2)^2+(-5-4)^2} =9.8[/tex]

f (a) = 2a + 4
g(a) = a2 − 3
Find ( f g)(a)

Answers

The answer is ............;$$$&&&&&&&&&&&&&&(15)

2/3 + 4/15 + 1/5 I need help

Answers

Answer:

1.1333

Step-by-step explanation:

Answer:

17/15  or  1  2/15

Step-by-step explanation:

2/3 + 4/15 + 1/5 =2*5/3*5 + 4/15 + 3/3*5 =10/15 + 4/15 + 3/15 = (10 + 4 + 3)/15 = 17/15 =1 2/15

Algebra 1- x-2y=1 find for y

Answers

Answer: I got x= -2y  

1- x-2y=1

Cancel 1 on both sides.

−x−2y=0

Add 2y to both sides.

−x=2y

Multiply both sides by -1.

x=−2y

there if that helps :)

What does-12x-41=-221

Answers

Answer:

-15

Step-by-step explanation:

+41 to -221=180

-12x=180

then divide the -12

-15

Need help due today!!!!

Answers

Answer:

sorry bout my handwriting but yea :)

Step-by-step explanation:

Answer:

oi k

Step-by-step explanation:

RSTis congruent to RUT. If angle S is (5x-11) degrees and angle U is (4x+9)
degrees, find the value of x.

Answers

Answer:The answer is x=20

Step-by-step explanation:

can SOMEBODY PLZZZZ GIVE ME THE ANSWERSSSSSSSSSSSSSSSS

Answers

Answer:

Yes

Step-by-step explanation:

Someone will

what is the value of 5x+3 when x=4?​

Answers

Answer:

23

Step-by-step explanation:

5 x 4 = 20 + 3 = 23

5(4)+3=
5•4+3=
23

Hope this helps!! <3

Somebody please help!

Answers

Answer:

11g

Step-by-step explanation:

DeMarkus says that a store overcharged him on the price of the video game he bought. He thought that the price was marked of the original price, but it was really off the original price. He misread the advertisement. If the original price of the game was $48, what is the difference between the price that DeMarkus thought he should pay and the price that the store charged him?

Answers

Answer:

 $24

Step-by-step explanation:

The question is not complete, here is the complete question

"DeMarkus says that a store overcharged him on the price of the video game he bought. He thought that the price was marked 1/4 of the original price, but it was really 1/4 off the original price. He misread the advertisement. If the original price of the game was $48, what is the difference between the price that DeMarkus thought he should pay and the price that the store charged him?"

SolutionTake note of the words "of" and "off"

1/4 of $48= 0.25*48=$12

so he thought he should pay $12

1/4 off $48= $48-$12= $36

now the difference is

36-12= $24

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