Select all equations that are equivalent to (5x+6)2=3−(4x+12) .


a. 5x+6=3−(4x+12)

b. (5x+6)2=−4x−9

c. 52x+3=3−(4x+12)

d. (5x+6)2=−4x+15

e. 5x+6=−8x−18

Answers

Answer 1

Answer:

B

Step-by-step explanation:

ita only b .............

Answer 2

The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.

Option B is correct.

The very first thing to do is to solve the expression in the given question.

SO,

(5x + 6)2 = 3-(4x +12)

Open brackets

10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9

Collect like terms

10x + 4x = -9 - 1214x = -21

x = -21/14

Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.

Starting with Option (a)

5x + 6 = 3 - (4x + 12)

Open brackets

5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9

Option (a) is incorrect

b.

(5x + 6 )2  = -4x - 9

Open brackets

10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14

Option (b) is correct

(c.)

52x + 3 = 3 - (4x + 12)

Open brackets

52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14

Option (c) is incorrect

(d)

(5x + 6)2 = -4x + 15

Open brackets

10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14

Option (d) is incorrect

(e)

5x + 6 = -8x - 18

Collect like terms

5x + 8x = -18 - 613x = - 24x = -24/13

Option (e) is incorrect

Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.

Learn more about algebraic expression here:

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Related Questions

Given f(x) = 2x2 -x + 3, find f(-2).

Answers

Answer:

is 2x2 multiplying them or is x the letter ?

Step-by-step explanation:

if multiplying: 4-(-2)+3 = 11

if the letter: 2(-2)2-(-2)+3 = -3

hope this helped :))

What is the slope and y intercept?

Answers

Answer:

Slope is 1, or 1/1. The y - intercept is -3, or (0, -3)

Step-by-step explanation:

Just counted the squares on the graph :)

How do you know the square root of 17 exponent 2 is equal to 17

Answers

Answer:

√17 = q × q = q2

Step-by-step

The square root of 17 in mathematical form is written with the radical sign like this √17. We call this the square root of 17 in radical form. The square root of 17 is a quantity (q) that when multiplied by itself will equal 17.

2. What is the variable in this expression? 4y-5

Answers

Answer:

y

Step-by-step explanation:

A variable is a letter that holds the place of a number. y in this expression matches that description, so it is the variable.

Sara spent half of her allowance going to the movies. She washed the family car earned 6 dollars. What is her weekly allowance if she ended with 15 dollars?

Answers

The answer for this question would be 7

Answer:

18 dollars

Step-by-step explanation:

15-6=9

9x2 (double it because she spent half)18

What’s 5x+4y-2x-y simplified

Answers

Answer:

Step-by-step explanation:

Solving like terms

3x + 3y

Both have 3 in common so

3(x + y)

Solve 3x – X + 2 = 12. (1 point)
100

Answers

The correct answer would be x=5

3x-x+2=12
2x+2=12
2x=10
X=5

With the equation 3z+3=2z+6

Answers

Answer:

z = -3

Step-by-step explanation:

Simplifying

3z + -3 = 2z + -6

Reorder the terms:

-3 + 3z = 2z + -6

Reorder the terms:

-3 + 3z = -6 + 2z

Solving

-3 + 3z = -6 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.

-3 + 3z + -2z = -6 + 2z + -2z

Combine like terms: 3z + -2z = 1z

-3 + 1z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0

-3 + 1z = -6 + 0

-3 + 1z = -6

Add '3' to each side of the equation.

-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0

0 + 1z = -6 + 3

1z = -6 + 3

Combine like terms: -6 + 3 = -3

1z = -3

Divide each side by '1'.

z = -3

Simplifying

z = -3

Answer:

=3z+3=2z+6

=3z-2z=6-3

=z=3

hope you like the answer

please mark the answer as brainliest

can somebody help me with this please? this is NOT cheating, this is an optional practice and i just need help with it

Answers

Answer:

ive done the math, and im not sure if i have the correct answer or not, but i have arrived at choice B

Step-by-step explanation:

i apologize sincerely if this is incorrect

2x^3+11x^2-7x-6 = (x-1)(2x+1)(x+6). So the correct answer is A.

how many feet should be cut off to make a plank 5 7/8 feet long

Answers

Answer:

2 5/8

Step-by-step explanation:

5 7/8 + 2 5/8= 8 1/2

Answer:

3 4/8 or 3 1/2

Step-by-step explanation:

HELPPPPP PLEASEEEEEE !!!!!!!A recipe requires x number of cups of flour to produce y number of servings.

Using the table, what is the number of servings per cup of flour?

Answers

looking at 1 1/2 makes 12 cups, you can divide them to see the total of cups it would make with one cup of flower. 1 1/2 is equal to 1.5 , and with that information we do 12 divided by 1.5 which is 8. the answer is 8 per 1 cup of flower.

Answer:

1 cup of flour = 8 servings

Step-by-step explanation:

3/4 cup of flour=6 serving

3/4 / 4/3=6 / 4/3

1 cup of flour = 8 serving

Help please i will be so thankful

Answers

Answer:

-5

Step-by-step explanation:

Answer:

the answer is y=m+b

Step-by-step explanation: that is your formula

BRAINLIEST ANSWER!!
During the summer, you work 30 hours per week at the gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours, t, must you work as a landscaper?

Identify an equation that can be used to answer the question.
A) 30t=400-8.75(11)
B) 8.75+11+400=30+t
C) 8.75t+11t=400
D) 30(8.75)+11t=400

Solve the equation to find the number of hours you must work as a landscaper.

You must work ___ hours as a landscaper.

Answers

Answer:

1. 30(8.75) + 11t = 400

2. 12.5 hours

Step-by-step explanation:

1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.

30 hours and $8.75 an hour would be equivalent to 30(8.75)

We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t

Finally, you want to earn a total of $400 a week, which means the sum equals 400

30(8.75) + 11t = 400

2. 30(8.75) = 262.5

400 - 262.5 = 137.5

137.5 / 11 = 12.5

2x/3+x/2=5/6
Please solve for x as a fraction!

Answers

Answer:

the value of x is 5/7 which is in fraction

Answer:  x = 5/7

Step-by-step explanation:  2x/3 + x/2 =5/6

To use a least common denominator, divide LCD by the original denominator and multiply the original numerator by the result.

for 2x/3  6÷3=2  2×2x=4x so that becomes 4x/6

for x/2    6÷2=3  3× (invisible) 1 = 3x, so that becomes 3x/6

combine 4x/6 + 3x/6 = 7x/6  

Back to the original equation, substituting the calculated term:

7x/6 = 5/6   Multiply both sides by 6 to simplify (6)(7x/6) = (6)(5/6) 6's "cancel"

7x = 5 .  Divide both sides by 7 to solve for x  7x/7 = 5/7

x = 5/7

Micheal got 28 out of 33 points on his math test. What percent of the questions did he get correct? Round your answer to the nearest whole number

Answers

Answer:

85%

Step-by-step explanation:

Answer:

about 84

Step-by-step explanation:

28/33=84/99

You are about to graph the linear equation y=1/4x+8 but you need to determine the scale of the x and y axes first. Select the best option for a scale for both the x-axis and y-axis (one of each). A) x scale of -5 to 5 B) x scale of -15 to 15 C) y scale of 0 to 15 D) y scale of -30 to 30 (10 POINTS AND BRAINLIST IF RIGHT WILL REPORT WRONG ANSWERS)

Answers

Answer:

  B) x scale of -15 to 15

  C) y scale of 0 to 15

Step-by-step explanation:

The change in y-value is 1/4 of the change in x-value, and the y-intercept is 8. That means a y-scale of -30 to 30 would not be well-utilized over a small range of x. (It would take an x-range of about 200 to make much use of that y-scale.)

An appropriate y-scale is one that has 8 near its middle. The corresponding x-scale is then roughly ±4 times half the y-scale. The closest choices are ...

  -15 ≤ x ≤ 15 . . . . choice B

 0 ≤ y ≤ 15 . . . . . . choice C

Casey is using a recipe that requires 23cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk, how many cups of flour are needed?

Answers

Answer: 57.5

Step-by-step explanation:

To solve this problem, you need to multiply the number of cups of flour per cup of milk times 5.

Step 1: Find how many cups of flour per cup of milk.

23/2 = 11.5 cups of flour per cup of milk

Step 2: Multiply the cups of flour per cup of milk, times the 5 cups of milk.

11.5 * 5 = 57.5 total cups of flour

Write an equation for the line that is parallel to the given line and passes through the given point . Write the equation of the line in y=mx+b form
y=5x-7;(2,-2)

Answers

A parallel line has the same slope as the original equation. Therefore, the slope (m in y=mx+b) will be 5. From there, we can use the point-slope formula and convert it into the slope-intercept formula (y=mx+b).

Point-slope is:

y-y₁=m(x-x₁)

Plug in our known values:

y-(-2)=5(x-(2))

Distribute and set it equal to y:

y+2=5x-10

y=5x-12

Let me know if you have any more questions :)

PLS HURRY!!!!!!!!

The members of set A are the integer solutions of the inequality 2x−5≤11 and the members of set B are the integer solutions of the inequality −2x+7≤−9. What is one member of the intersection of A and B?

Answers

HOPE IT HELPS YOU!!!

What is the ordered pair representing the y intercept of the line containing he points (4,8) and (2, -4)?

Answers

Answer:

(0,-16)

Step-by-step explanation:

Suzi starts her hike at 240 feet below sea level. When she reaches the end of the hike, she is still below sea
level at - 143 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the
hike?

Answers

Answer:

383ft

Step-by-step explanation:

Given parameters:

  Elevation = 240ft at the start

  Elevation at the end = -143ft

Unknown:

Change in elevation:

Solution:

The change in elevation is the difference between the two hiking milestone;

  change in elevation = Elevation at the start  - Elevation at the end

                                    = 240ft  - (-)143ft

                                   = 240 + 143

                                    = 383ft

CAN SOMEONE PLS HELP ME ANYONE ITS ALMOST DUE

Answers

Answer:

3x(2+n)+[7+n]

Step-by-step explanation:

The answer is kind of self-explanatory, but think of it this way.  If n=5, then the equation would be 3x(2+5)+[7+5]. First we would solve 2+5 which is 7. Then we would do 7+5 which is 12. We are now left with 3x7+5.

Express as a simple fraction in lowest terms
18
OK
42

Answers

Answer:

3/7 is the answer. It is 3 over 7

Select all equations that have graphs with the same y-intercept.
A. y = 3x - 8
B. y= 3x -9
C. y= 3x + 8
D. y = 5x - 8
E. y = 2x - 8
F. y = 1/3x -8

Answers

A D E F all have the same y-int which is -8

Y=mx+b
B is the y intercept
M is the slope

Answer:

A, D, E, F

Step-by-step explanation:

They all have the same y-intercept -8.

The formula is like this y = mx + b

m = slope

b = y-intercept

x = input

y = output

HELPPPPPPP PLEASEEEEE

Answers

Answer:

D

Step-by-step explanation:

The constant of proportionality is 8 as seen by the equation:

y = 8x

8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)

The number 8 will not change

Therefore, 8 is the constant ot proportionality

Please help me guys please

Answers

Answer:

i think it is the 4th one

Step-by-step explanation:

yo it would be cool if you would give me brainliest

saras bike weighs 2.03 kilograms . If 1 kilogram is 2.2 pounds, how much many pounds is saras bike

Answers

Answer:

4.5 pounds

Step-by-step explanation:

2.2X2.03=4.466(I rounded to the nearest tenth if that helps)

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!A 120-inch pipe is cut into two pieces, One piece is three times the length of the other. Find the
length of the shorter piece.

Answers

pretty sure it is 40?

Answer:

the shorter piece is 30 inches.

Step-by-step explanation:

3x + x = 120

4x =120

x =30

PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!

Answers

Answer:

x= 13

Step-by-step explanation:

Select all of the zeros of the function f(x)=(3x−4)(x+2).

(I NEED TO SHOW MY WORK SO PLEASE SHOW HOW YOU GOT THE ANWSER)
Select all that apply:
4

2

43

− 43

− 2

− 4

Answers

Answer:

The zeros of the function are x = 4/3 or x = -2

Step-by-step explanation:

To find the zeros of the function, we set f(x) to zero

Thus;

(3x-4)(x + 2) = 0

3x - 4 = 0

or x + 2 = 0

3x = 4 or x = -2

x = 4/3 or x = -2

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