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

Which is NOT true?
A 9 + 4 = 17 - 4
B 8 + 7 = 14 + 3
C 11 = 19 - 8
D 5 + 8 = 20 - 7

Answers

Answer:

B is not true

Step-by-step explanation:

8+7= 15 and 14+3= 17

15 is not equal to 17

Answer:

B is the one equation that is NOT true.

Step-by-step explanation:

A: 9+4 is 13, and 17-4 is 13 as well. This equation is true, 13=13.

B: 8+7 is 15, and 14+3 is 17. This equation is false, because 15 is not equal to 17. Although we have our answer, we need to still check the other equations.

C: 11 is, well, 11, because nothing changed on that side of the equation. 19-8 is 11, so this is true because 11=11.

D: 5+8 is 13, and 20-7 is 13. This equation is also true, because 13=13.

The only equation that is not true, is B. (8+7 = 14+3)

Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)

Answers

CORRECT ANSWER: D
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D

PLS HURRY! ANSWER FOR BRAINLY.

question:

Which statement best describes the equation
x = 3?
A. The equation can not be graphed.
B. The equation represents a function, but not a linear function.
C. The equation represents a linear function.
D. The equation represents a line, but not a linear function.

Answers

Answer:

D

Step-by-step explanation:

A: Not A. It can be graphed. It is a vertical line where x = 3. Every point must have an x value of 3. (3,4), (3,0), (3.- 6) are all on x = 4. It can be graphed, but it is not a function.

B:  Not B. It is not a function at all. To be a function, it can only have 1 y value associated with it.

C: It's not a linear function because it is not a function.

D is your answer

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

PLEASE HELP!!!!!

Taylor's computer randomly generate numbers
between 0 and 4, as represented by the given uniform
density curve.
What percentage of numbers randomly generated by
Taylor's computer are between 1.5 and 3.25?
O 0%
1.75%
Random Number Generated
by Computer
25%
O 43.75%
1
2
3
Random Number

Answers

Answer: D

Step-by-step explanation:

just got it correct.

Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?

Answers

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

The money spent on gym classes is proportional to the number of gym classes taken. Max spent $45.90 to take 6 gym classes.
What is the amount of money, in dollars, spent per gym class?

Answers

Answer:

$7.65

Step-by-step explanation:

its the right answer, TRUST ME!!!!

How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)

Answers

32k + 24 = 8 (4k + 3)

Hope this helps

Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?

Answers

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

[tex]\frac{8}{20} * 100\\40[/tex]%

If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times
Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.

Answers

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

six and fifty-three hundredths as a decimal-


Yes, I'm D-U-M-B!

Answers

Answer:

6.58

Step-by-step explanation:

ahahahaha lol

Answer:

6.58

i hope this helps:)

Step-by-step explanation:

brainliest please?

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

The answer is B.

Step-by-step explanation:

Answer:

B.

1.09x + 1.59y + 1.59z

I hope this helps

How do you find the product of 3x^2y^5 and 4x^3y^7

Answers

Answer:

S

=

{

(

2

,

5

)

}

Step-by-step explanation:

On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?​

Answers

Answer: 302 children and 42 adults

Step-by-step explanation:

x= Children y= Adults

x+ y = 344

1.50x + 2y= 537

Then I would use elimination and multiply the first equation by -2.

-2x-2y= -688

+1.5x+2y= 537

Add the equations and get

-0.5x= -151

Divide by -0.5

x= 302

Then plug x back into the equation.

302+y=344

Subtract 302 from both sides.

y=42

A cube has a surface area of 6. What's the volume?

Answers

Answer:

18 Superfícies  

Step-by-step explanation:

I think the answer is gonna be 18

what is the volume of the following prisim? i will be so grateful

Answers

Answer:

i dont know this is to hard

Step-by-step explanation:

pay back for saying that on my question  

can someone pls simplify this
[tex] \frac{105}{12} [/tex]

Answers

25/3..................

This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.

t = p + 17

The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?

phone calls

Answers

hmmm I dunno sorry ......

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D

Answers

Answer:

C i think

Step-by-step explanation:

anybody can help me with this

Answers

The answer is 21.08241 because for an approximate result, multiply the length value by 1609

Answer:

the answer is a/ 21 kilometers

Jayden is trying to pick out an outfit for the first day of school. He can choose from 2
pairs of pants, 3 t-shirts, and 6 pairs of shoes. How many different outfits does
Jayden have to choose from?

Answers

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Is the equation cosine theta - sine theta =1 an identity? Explain

Answers

Answer: No, because an identity is an equation that is always true and cos(theta) - sin(theta) does not always equal 1.

Hope this helped! :)

Evaluate the expression 6 + 5 × 32 - 8.

43
11
6
91

Answers

Answer:

158

Step-by-step explanation:

All i know is that these answer choices cannot be found in the calculator

Answer:

158.....

PEMDAS

you multiply first 6+160-8

then you add or subtract

158

hello I need help in this​

Answers

There are 22 books total on the shelf and 9 of them are biographical books so the probability is 9/22

What is the measure of the angle supplementary to a 47.5 degree angle?

137.5

52.5

42.5

152.5

Answers

Answer:

132.5 degrees. Check to see if there is missing information in the question or any mistakes.

Step-by-step explanation:

Supplementary angles = 180 degrees

180 - 47.5 = 132.5

137.5 you can just ask the internet for help

Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answers

Answer:

Step-by-step explanation:

15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP

Answers

Answer:

to find the equation of the line you use y=mx+b

Step-by-step explanation:

m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5

Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket​

Answers

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Vertex:
Vertex form:​

Answers

2.5 and the other form 4

Answer:

y = (x + 1) - 4

Step-by-step explanation:

Vertex Form: y = a(x-h)^2 + k

First, we need to find the parent function. The parent function is (0,0)

Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.

Now it is time to make the actual equation. First, we start with y=

y =

Now we need to put in the  (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.

y = 1(x -- 1)^2 = 1(x + 1)^2

Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.

y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4

Our final answer is:

y = 1(x + 1) - 4

Translate into an equation: Twenty-six more than the product of a number and
17 is -42.

Answers

C) 17n + 26 = -42

“the product of a number and 17” = 17n

“twenty six more than” = + 26

And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4
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