Rewrite the equation by completing the square. x^{2}+4x-21 = 0

Answers

Answer 1

Answer:

x={3,-7}

Step-by-step explanation:

brackets for list

Solve with quadratic formula

separate the solutions

Square

Answer 2

Answer:

2 for the first box and 25 for the second one.

Step-by-step explanation:


Related Questions

A company advertises on a website

Answers

Answer:

I'm not that good at math sorry for waiting your time:)

find the mean of the table below.

Answers

The mean is 12.5

5+10+10+15+15+20= 75
75/6 = 12.5

Answer: 12.5

Step-by-step explanation:

So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring  is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring  is 2 so, 2x15 which is 30. And finally theres  20 minutes and the amount of times occuring  is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.

you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:

Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour

The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.

a) For which people is plan A best? For which people is plan B best?

b) When are the costs of the two plans the same and what is the cost?

Answers

Answer:

a

Step-by-step explanation:

A is the correct answer

HELP THIS IS DUE IN LIKE 20 MINS

Answers

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:


The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c

Answers

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be [tex](h,k)[/tex]

Another way of representing a quadratic is in "vertex form":

[tex]f(x) = a(x-h)^2+k[/tex]

Now all you have to do is solve for a.  You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex].  Now, all you have to do is plug in these values and solve for a.

[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]

Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

[tex]6x^2+2[/tex]

You get:

a = 6

b = 0

c = 2

Please mark this as brainliest if it satisfies your question

What is the value of y in the equation 4 + y=-3?
7
1
-1
-7

Answers

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

Margaret's garden is 36 feet long and has a perimeter of feet. She is wanting to plant flowers along the diagonal of the garden. How long in the diagonal of her​

Answers

Answer: Where is the rest of the question?

Step-by-step explanation:

What is the GCF of each polynomial?

1) -10x^7 + 25x^4 - 25x^2

2) 9v^5 - 24v^4 - 21v^2

Answers

The first one is 5
The second one is 3

pls help how do i solve log(5x+2)=1

like what rule do I use and how do I do it step by step

Answers

Answer:

x = -0.2

Step-by-step explanation:

(5x + 2) = 1

      - 2     -2      

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

5x = -1

Divide each side by 5

-1/5

= -0.2

Check:

(5x + 2) = 1

replace x with -0.2

(-1 + 2) = 1

1 = 1

The equation is true.

Hope this helped :)

Directions: Evaluate the following equation. Show all of your work.

4) 4.2x = 33.6

5) a/3 = 45

6) -8x = 4

Answers

Answer:

4) 8

5) 135

6) -.5

Step-by-step explanation:

4) 33.6/4.2=8

5) 3*45=135

6)4/-8= -1/2 or -.5

Please help asap. This is khan acadamy

Answers

Answer:

xr 30 degrees

Step-by-step explanation:

the angles always add up to 180 sooo

53+97=150

180-150=30

there's how u solve these kinds of problems

hope this helps

2/5 of 16 simplify if you can thank you

Answers

Answer:

6 and 2/5

Step-by-step explanation:

Answer:

Decimal form: 6.4

Fraction form: 32/5

Step-by-step explanation:

of = times

2/5 x 16 = 6.4

-6x + 12 , can somebody explain this ?

Answers

Step-by-step explanation:

Factor −6 out of −6x

-6(x)+12

Factor −6 out of 12.

−6(x)−6(−2)

Factor −6 out of −6 (x)−6(−2).

-6(x-2)

find the value of each variable 13-17

Answers

Answer:

Step-by-step explanation:

Question 13.

By applying cosine rule,

cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{10}{y}[/tex]

y = 10√2

By applying sine rule,

sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{x}{y}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{x}{10\sqrt{2} }[/tex]

x = 10

Question 15.

By applying sine rule,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{y}{32}[/tex]

y = 16√3

By applying cosine rule,

cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{x}{32}[/tex]

x = 16

Question 17.

By applying sine rule,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}[/tex]

y = 22

By applying cosine rule,

cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{x}{y}[/tex]

[tex]\frac{1}{2}=\frac{x}{22}[/tex]

x = 11

Brian has deposited $2,200 in a savings account that earns 7%
simple interest every year. His friend, Carlos, deposited $2,100 in a
saving account that earns 8% simple interest. Both Brian and Carlos
opened their accounts on the same day and have not made any more
deposits in either account. What will be the difference in their savings
accounts after 5 years?

Answers

Answer:

The difference after 5 years is 772.57

11 - x when x= -4 how do you solve this

Answers

Answer:

15 is the answer

Step-by-step explanation:

We know that x = -4, so substitute x for -4 in the problem

11 - (-4)

2 negative signs make a positive sign

11 + 4

=15

Answer:

Hi! The answer to your question is [tex]15[/tex]

How to solve is whenever there is an x, replace it with a -4 so the problem would be set up like this 11-(-4) and at that point you can just solve it in a calculator

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!!☁

Hope this helps!!

- Brooklynn Deka

Soon Yee was putting together her notebook after the first day of
school. She bought a pack of 200 sheets of loose-leaf notebook
paper and some dividers. She wanted to put the same amount of
paper in each of the four sections for her core subjects: math,
history, English and science. She figured that herſtwaelective
courses (art and music) each only needed half bf the amount of
paper that a core subject needed. How many sheets of paper did
she put into the art section of her notebook?

Answers

Answer: Since her art and music sections each only had half the number of sheets of paper as a core subject, together the two sections had the same amount of paper as a core subject. Therefore, it is almost like her notebook had five core subjects, rather than four core subjects and two electives. If she divided the 200 sheets equally among the five core subjects, there would be 200 ÷ 5 = 40 sheets in each section. Now we can see that art would actually have half of this amount, or 20 sheets of paper.

There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

Given an investment of $1,500: which investment would have a larger balance after 5 years? Option 1 - 4% compounded monthly option 2 - 3.9% compounded daily.

Answers

Answer:

It is option one

Step-by-step explanation:

I don’t know why but I’m doing a quizzizz with the same question and i picked option 2 but option one was the correct answer

HELPPPPPPPPPP!!!!!!!!!!!!

Answers

The answer would be A. C stands for color and the (h) stands for height. The h is in parentheses because it is what changes and is then multiplied to the C. The C can only change when the h changes.
Goodluck with the quiz! :)

Please show me step by step how to do this

Answers

Answer:

48

Step-by-step explanation:

The nth term of an AP is expressed as;

Tn = a+(n-1)d

Id 12th term is 32, hence;

T12 = a+11d

32 = a+11d ...1

If the 5th term is 18, then;

T5 = a+4d

18 = a + 4d ....2

Subtract 1 from 2;

32 - 18 = 11d - 4d

14 = 7d

d = 14/7

d = 2

From 1; 32 = a+11d

32 = a+ 11(2)

32 = a + 22

a = 32-22

a = 10

Get the 20th term

T20 = a+19d

T20 = 10 + 19(2)

T20 = 10 + 38

T20 = 48

Hence the 20th term is 48

I need help with this please help me. ​

Answers

Answer:

a) $93, $117.80, $86.80, $68.20

b) $365.80

Step-by-step explanation:

a)

Add 12 hours to each p.m. time to make the subtraction of hours easier.

Also, use decimal numbers to do the subtraction. Remember that 0:30 means 30 minutes which is 0.5 hour, so 7:30 is the same as 7.5 as a decimal.

Monday: 8:00 to 15:30

15:30 - 8:00 = 1.5 - 8 = 7.5 hours

7.5 hours * $12.40/h = $93

Wednesday: 7:30 to 17:00

17:00 - 7:30 = 17 - 7.5 = 9.5 hours

9.5 hours * $12.40/h = $117.80

Friday: 9:00 to 16:00

16:00 - 9:00 = 16 - 9 = 7 hours

7 hours * $12.40/h = $86.80

Saturday: 10:30 to 16:00

16:00 - 10:30 = 16 - 10.5 = 5.5 hours

5.5 hours * $12.40/h = $68.20

b) Add all the daily amounts above.

$93 + $117.80 + $86.80 + $68.20 = $365.80

Write 9020000 in standard form?

Answers

Answer:

9.02 x 10^6

Step-by-step explanation:

hope this helps!

A local fast food chain had revenue represented by the polynomial 6x ^ 2 + 5x - 8 for one fiscal year and expenses for that same fiscal year represented by the polynomial 4x ^ 2 - 3x + 7 7. What was the company's profit for the fiscal year?

Answers

Answer:

2x^2+8x - 16

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

Given

R(x) = 6x ^ 2 + 5x - 8

C(x) = 4x ^ 2 - 3x + 7

P(x) = 6x ^ 2 + 5x - 8-(4x ^ 2 - 3x + 7)

P(x) = 6x ^ 2 + 5x - 8 - 4x ^ 2 + 3x - 8

Collect the like terms;

P(x) = 6x^2-4x^2+5x+3x-8-8

P(x) = 2x^2+8x - 16

Hence the company's profit for the fiscal year is 2x^2+8x - 16


[tex] \sqrt{39} [/tex]
Please help me to find the answer of square root 39
plz​

Answers

Answer:

hi dear friend the answer is 6.245. hope that helps it has been a pleasure to help you can always look out for me if you have a math problem.

PLEASE HELP I DON'T UNDERSTAND!!!!!! I WILL MARK!!!

Answers

Answer:

the first one.

Step-by-step explanation:

The answer to the problem is the first answer choice

Help pleaseeeeeeeeeee

Answers

Answer:

5 is c 6 is b

Step-by-step explanation:

Answer:

5) C 6) B

Step-by-step explanation:

Yw

100 POINTS 100 POINTS!
100 points means
- No Decimal answers
- No unhelpful answers
- No spamming

Answers

Answer:

Step-by-step explanation:

As each step has the same depth and rise, they are respectively 1.2/4=0.3m and 1.8/4=0.45m.

Dividing the steps along the dotted lines, the total rise of the 4 concrete steps  = (1+2+3+4)*0.45

= 4.5m

Total concrete volume = total rise * depth * width

= 4.5*0.3*1.8

= 2.43m^3

Answer:30

Step-by-step explanation:

Help me guys. plz no Decimal please. Thank you!

Answers

Answer: 1,145,375cm^3

Step-by-step explanation:

QUESTION 1
1.1 Find the sum:
1.1.1 2+6+(-7) + 10 =
1.1.2 (-49) + (15) + (-10) =​

Answers

Answer:

1.is 11

2. is-44

Step-by-step explanation:

1) 2+6-7+10

= 11

2) -49+15-10

= -44

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