Mathematics High School

Complete the square to solve 4x2 + 24x = 4.
O A. x= -3 + 10
O B. x = 4 + 40
C. X= 3 + 10
O D. X= -4 + 20
HELP ME PLEASE

Answers

Answer 1

Answer:

A. x = -3 ±√10

Step-by-step explanation:

ax² + bx = c

4x² + 24x = 4

The first step is to divide each term by 4 so you have a coefficient of 1 for x².

4(x² + 6x) = 4

Now, you want to divide the b term (6) by 2.

6/2 = 3

Square this quotient.

3² = 9

Because you have a 4 outside of the parentheses, before you add 9, you want to multiply it by 4.

9 • 4 = 36

4(x² + 6x + 9) = 4 + 36

Now, simplify the parentheses. You can use the factoring X, but a shortcut is to use the quotient you found from b/2.

4(x + 3)² = 40

Now, you can divide both sides by 4.

(x + 3)² = 10

Take the square root.

x + 3 = ±√10

Subtract.

x = -3 ±√10

This is your answer.

Hope this helps!

Related Questions

(c) Expand and simplify
(x-6)(x+9)

Answers

Answer:

x^2 +3x -54

Step-by-step explanation:

Use the method FOIL

(First, Outer, Inner, Last)

1. Multiply the 1st terms in bracket 1 and the 1st term in bracket 2:

(x × x)

2. Multiply the 1st term in bracket 1 and the 2nd term in bracket 2:

(x × 9)

3. Multiply the 2nd term in bracket 1 and the 1st term in bracket 2:

(-6 × x)

4. Multiply the 2nd term in bracket 1 and the 2nd term in bracket 2:

(-6 × 9)

5. You'll get the answer:

(x^2 + 9x - 6x - 54)

(x^2 + 3x -54)

Katie picked 25 carrots from her garden and divided them equally into 5 bunches to give to her neighbors. How many carrots are in each bunch?

Answers

Answer:

5

25/5=5

Step-by-step explanation:

the two lines y+7x=14 and y+5=-7x are:
a)parallel
b)perpendicular
c)neither

Answers

Answer:

(a)parallel

Step-by-step explanation:

they have the same slope so they're parallel

54 out of 180 as a percentage
Please show you working
High points and I will brainliest youuuuuu

Answers

Answer:

30%

Step-by-step explanation:

54 / 180   x 100% = 30%

Answer:

30% g;jujhklki/;k/lh

Write an equation (division) with fractions that equals 6/8
:)

Answers

Answer:

3/4 ÷ 1/2

RECHECK:

3/4 ÷ 1/2  

3 / 8 x 2 / 1  = 6/8

hOPE ITS RIGHT!

Answer:

Step-by-step explanation:

HCF of 6 and 8 is 2

6÷2 / 8÷2 = 3/4

teresa wants to make some cookies the recipe calls for 5 eggs and 10 tablespoons of butter but she only has 3 eggs she needs to know if she has enough butter to make the cookies with only three eggs how much butter will she need

Answers

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

A group of biologists are surveying the mice population in the forest. The equation N=75•3^t gives the total number of mice, N, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation.

Answers

75 and three are the rate at which the total number of mice increases

im so mad rn bc i dont get this please HELP

Answers

Answer:

X is 26

Step-by-step explanation:

Hahahah don't be mad

One straight line is 180°

So

2x-10+5x+8 = 180

7x = 180-8+10

X = 26

X is 26 because the line is 180

NEED HELP NOWAngles not necessarily drawn to scale

Answers

Answer:

x = 45 degrees

Step-by-step explanation:

Opposite adjacent angles are congruent

160 - x = 115

x = 45

10/9= 2/3xd
what is the value of D

Answers

Answer:

d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

Anybody good in geometry and know how to do this ? Free Brainliest and points

Answers

Answer:

Answer- 1696.5 cubic inches

Step-by-step explanation:

r = d/2

r = 12/2 = 6 inches

Volume V = πhr^2

V = 3.14×15×6×6

V = 1695.6

Answer:

Its D

Step-by-step explanation:

The water was pumped out of a backyard pond. What is the domain of this
graph?

Answers

The domain of the graph is,

''All integers less than or equal to 6''.

Option C is true.

What is Domain of graph?

Domain of a graph consists of all the input values shown on the x - axis.

The graph of a function is shown in figure.

Now, The graph is defined on the value less than 6 on the x -axis.

And, The domain of a graph consists of all the input values shown on the x - axis.

Thus, The domain of the graph is,

''All integers less than or equal to 6''.

Learn more about the domain of graph visit:

https://brainly.com/question/12899754

#SPJ5

How many numbers are reciprocals of themselves?

Answers

Answer:

2

Explanation:

In short terms, there are two numbers that are reciprocals of themselves, 1 and -1.  According to euler's identity, e^(-i*2*pi) is a reciprocal of itself, but I believe that is beyond the scope of this question.

HELP QUICK!! solve by substitution and show work please

Answers

Answer:  You should solve by equal method not substitution.  y=7     x=2

Step-by-step explanation: Equal value method is when two things equal each other and in this case both 3x+1 and 5x-3 equal y so they also equal each other.   3x+1=5x-3                  add 3 to each sides

                      3x+4=5x                     subtract 3x from each side

                      4=2x                           divide by 2

                        x=2                                                             solve for y=3x+1

                                                                                                           y=3(2)+1

                                                                                                          y=7

. There are 14 boys and 9 girls in Mrs. Saldaña's math class. What is the ratio of students to teachers?
A 14/1
B 9:1
C 23:1
D 23 to 2​

Answers

Answer:

it would be c. 23:1 because there's 23 students in all and only one teacher

a
y = 2x + 5
C.
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7)


Answers

Answer:

c .....the answer is c.....

Step-by-step explanation:

I hope this helps

I need help and please show work​

Answers

Answer:

WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a ...

Step-by-step explanation:

PLEAS HELP WILL GIVE BRAINLIESTT

Answers

Answer: An equation could be x = 3y.

Step-by-step explanation:

solve the quadratic equations below.
3x2 + 22x + 35 = 0

Answers

Step-by-step explanation:

3x² + 22x + 35 = 0

(3x + 7)(x + 5) = 0

3x + 7 = 0

x = -7/3

or x+5 = 0

x = -5

PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!

y=-8 y=-2-12

Answers

Answer:

For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.

For the second equation the first point will be on (0, -12)

you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)

you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on

Ariel sold bags of gourmet popcorn for the school fundraiser. She sold 30 bags in two weeks, raising $112.50 for the school. How much did a bag of gourmet popcorn cost?​

Answers

Answer:

3.75 dollars

Step-by-step explanation:

If 30 bags of popcorn = 112.50

Then what would one bag equal?

First start off by putting money/bags

[tex]\frac{112.50}{30}[/tex]

Then solve.

112.50/30 = 3.75

Your answer is 3.75.

Hope this is correct, and hope it helps ^_^

Answer:

$3.75 per bag

Step-by-step explanation:

Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped

Triangle ABC is graphed on the coordinate plane below. What is the approximate length of segment AB in units.​

Answers

Answer:

5 units

Step-by-step explanation:

Count from point A to point B on the x-axis.

Can someone please help me with my math corrections?​​

Answers

8. Answer would be D because it is going up straight and never going back down.
C is incorrect because it is a rapid increase, not increasing at a constant rate.

9. An example i could provide would be
X Y
——
-1 -4
0 -1
1 2

Which graph shows a line with a slope 3/2?

Answers

Answer:

C I think, im not sure but sorry if im wrong

Step-by-step explanation:

Answer:

Graph B.

Step-by-step explanation:

Graph A. is too low and graph C. is too steep.

Also we know that 3/2 is equal to 1.5. This means that it will be a little more than y = x. So if we look at point (2,2), the line is not at that point, but the line is a little higher.

An extended graphs can be seen below

in a city 30 °/• are female and 40°/. are males . what are remaining children​

Answers

Answer:

30% are children.

Step-by-step explanation:

Females = 30%

Males = 40%

Therefore, children = 100% (total) - 30% + 40%

100 - 70

30%

QUESTION:

in a city 30 °/• are female and 40°/. are males . what are remaining children?

SOLUTION:

Given,

▶️ percentage of females = 30%

▶️ percentage of males = 40%

▶️ let the percentage of children be x.

Now,

▶️ x = 100% (total population) - 30% + 40%

▶️ x = 100% - 70%

▶️ x = 30% (Children population)

ANSWER:

The population % of children in a city is 30%.

What is the volume of the following triangular prism? (will give brainliest asap!)

Answers

Answer:

351m³

Step-by-step explanation:

13×3×9=351

Rosa purchase two chocolate bars and six ice cream bars for each of her five friends chocolate bars cost $3 each and eat ice cream bars W dollars each which expression represents the total amount Rose has been on her five friends?​

Answers

Answer:

3W

Step-by-step explanation:

Which graph represents the inequality x>6

Answers

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?
A.
$12,100.00
B.
$12,222.22
C.
$12,941.18
D.
$11,578.95

Answers

Answer:

B

Step-by-step explanation:

Determine the equation of the circle graphed below.

Answers

Answer:

(x-2)^2+(y+4)^2=34

Other Questions
The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph. ill give brainliest if its correct 8. Look at the following electronic configurations of elements and predict which element has the highest electron affinity? Explain your answer. [ /3A]a. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p4b. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p5c. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6d. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s1e. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 determine the missing value! What happened after the assassination of Archduke Franz Ferdinand that led to World War I?Question 1 options:Diplomatic relations ended between Germany and Austria, leading to war.Troops that had been protecting him attacked Serbian military positions.Russian troops invaded Serbia, seeking revenge for the death of the czar's cousin.Serbia rejected a list of Austrian demands, leading to the outbreak of war. Kallapur company manufactures two products: kap1, which sells for $120; and quin, which sells for $220. estimated cost and production data for the current year are as follows. The 19th century technological innovation of steam power was MOST beneficial to Texansthrough the -A. paddle boatB. spinning wheelC. railroad D. airplane choose 2 equivalent expressionsA. 11r - 12rB. -rC. 23rD. -23r Is a reflex part of the centralnervous system, the peripheralnervous system, or both? Explain. Identify two organisms that have different niches in the same habitat and tell what those niches are. help plz PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!! 3(x -2 = 3x - 5 is it a no slolution or one solution or x= 0 or infinite We enjoyed the food at the restaurant, transitive or intransitive verb What were common isms that were used in the modern era People who have autism... How does their mind describe the image when you ask them a question? A blue light flashes every 8 minutes while a pink light flashes every 54 minutes. Both lights flash together at 2pm. When is the next time that both lights will flash together again? Even though It might take alot longer depending on the seal, The main character in Saved by a Seal learns about his own limitations as he tries to control an extremely intelligent seal, because "Nab only circled round and round me until I was dizzy trying to keep track of him. Either he had had fairly good luck fishing for himself that morning, and was not suffering very keen pangs of hunger, or else he still associated my benevolence too closely with the little square splash-tub of the seal-house." This is a example of how he was trying to. This is held true especially that Navy seal training takes at least a year and a half from boot camp until joining a seal team. Once with a seal Team and prior to the first deployment, there is an additional year or more of training. Navy seals also continue to train throughout their career.Considering that "Nab only circled round and round me until I was dizzy trying to keep track of him. Either he had had fairly good luck fishing for himself that morning, and was not suffering very keen pangs of hunger, or else he still associated my benevolence too closely with the little square splash-tub of the seal-house." This is a example of how he was trying to, and especially that Navy seal training takes at least a year and a half from boot camp until joining a seal team. Once with a seal Team and prior to the first deployment, there is an additional year or more of training. Navy seals also continue to train throughout their career, The main character in Saved by a Seal learns about his own limitations as he tries to control an extremely intelligent seal. This is acceptable even if It might take a lot longer depending on the seal.Though It might take a lot longer depending on the seal, The main character in Saved by a Seal learns about his own limitations as he tries to control an extremely intelligent seal. This concept is based on the fact that "Nab only circled round and around me until I was dizzy trying to keep track of him. Either he had had fairly good luck fishing for himself that morning, and was not suffering very keen pangs of hunger, or else he still associated my benevolence too closely with the little square splash-tub of the seal-house." This is an example of how he was trying to and is especially supported by the fact that Navy seal training takes at least a year and a half from boot camp until joining a seal team. Once with a seal Team and prior to the first deployment, there is an additional year or more of training. Navy seals also continue to train throughout their career. Write two to three body paragraphs that support the thesis statement. You should support your claim with evidence from the short story. PLEASE HELP ME AND I SWEAR IS SOMEONE GIVES ME A RANDOM THING FOR THE POINTS IM GOING TO BE MAD factor this trinomial 2x^2 + 5x +2 please help with this 15w=4.5 Stanza 5.You will soon rob this land of your graceAnd leave it dull as pale elephant skinFor many months of biting wintry weatherWhile you dance in warm sun raysSpreading your magic in that new placeStanza 5 is mainly aboutWhat is the answer ? Athe author is sad, but the butterflies must migrate to a warmer placetoduring winterB)the author is sad, but the butterflies must migrate to a coldet place duringSummerthe author is happy and compares them to an elephant's skinthe author is happy that the butterflies get to perform their magicsomewhere new