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

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

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:

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:

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

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

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:

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

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

. 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

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

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.

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

Answers

Answer:

351m³

Step-by-step explanation:

13×3×9=351

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.

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

PLEAS HELP WILL GIVE BRAINLIESTT

Answers

Answer: An equation could be x = 3y.

Step-by-step explanation:

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

(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)

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:

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

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

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

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

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

Determine the equation of the circle graphed below.

Answers

Answer:

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

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%.

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

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

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 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

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