Worksheet

1. −3|2x + 6| = −12

2. |x − 2| + 10 = 12

Answers

Answer 1
Answer:

1.

-3|2x+6|=-12
|2x+6|=4

2x+6=4

2x+6=-4

x1=-5, x2=-1

2.

|x-2|+10=12
|x-2|=12-10
|x-2|=2

x-2=2

x-2=-2

x1=0, x2=4

Related Questions

HELP ME PLZZ I NEED HELP WITH THIS AND MAKE SURE YOU EXPLAIN!!!!!!!!!!!!!!!!

Answers

Answer:

C. 7/9 and 0.7 (with bar notation)

Step-by-step explanation:

The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.

In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.​

Answers

Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

Please give me Brainlest!

Select all the decimals that are terminating decimals
0.1111111
0.1
0.25
0.3333333

Answers

Answer:

0.1 and 0.25

Step-by-step explanation:

recurring decimals go on forever

terminating decimals end

plz help me thank you​

Answers

Answer:

Pauline needs 48 bags.

Step-by-step explanation:

You know that the field is 240 sq. ft. and that the density of the mulch is 6 pounds per sq. ft. Just multiply 240 by 6 to get the total weight of all the mulch, 1440 pounds. You also know each bag of mulch is 30 pounds. Divide 1440 by 30 to get 48 bags.

I need this answer ASAP

Answers

Answer:

2 in

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Solve for x 3x+4-x=8

Answers

Answer:

x = 2

Step-by-step explanation:

3x + 4 - x = 8

Combine like terms

2x + 4 = 8

-4 from both sides

2x = 4

Divide by 2

x = 2

Answer:

x=4

Step-by-step explanation:

Add 4 to both sides of the equation

3x=8+4

add 8 and 4

3x=12

Divide each term in 3 x = 12 by 3.

3x/3 = 12/3

Cancel the common factor.

3x/3 = 12/3

Divide x by 1.

x = 12/3

 Divide 12 by 3.

Anyone out there can solve this I will give 17 points!!!
Lauren is twice Kristy’s age. The sum of Lauren and Kristy’s ages is 51. Which equation represents the sum of their ages?
A K + K + 2 = 51 B K + 2K + 2 = 51 C 2K = 51 D K + 2K = 51

Answers

Answer:

D. K+2K=51

Step-by-step explanation:

Since Lauren is 2 times Kristy's age, Lauren's age=2K

so, if the sum of the two is 51, then 2K+K=51

If you want to solve it, 2K+K=3K=51

51/3=K

17=K

34=L

Answer:

D K + 2K = 51

Step-by-step explanation:

Lauren is twice Kristy's age so it would be 2K cause you want to multi[ly, and then you have to add Kristy's age in the equation because their ages added together is 51

solve what is 1 4/5 x 5/6

Answers

Answer:

Step-by-step explanation:

1 4/5*5/6

3/2 or 1 1/2

x−4y=−4 Determine the x- and y-intercepts for the equation given in standard form. Give your answers as integers.

Answers

Answer:

For X is (x=4y−4) and for Y is (y= 1 /4 x+1)

Step-by-step explanation:

Let's solve for x.

x−4y=−4

Step 1: Add 4y to both sides.

x−4y+4y=−4+4y

x=4y−4

Answer:

x=4y−4

Let's solve for y.

x−4y=−4

Step 1: Add -x to both sides.

x−4y+−x=−4+−x

−4y=−x−4

Step 2: Divide both sides by -4.

−4y /−4  =  −x−4 /−4

y= 1 /4 x+1

Circle B has a radius of 7 and its center is located at (2,5).

Circle H has a radius of 13 and its center is located at (9,-4).

Circle B and circle H _______________ similar.


A. No answer text provided.

B. cannot be determined to be

C. are

D. are not

Answers

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u ​

Answers

Answer:80

Step-by-step explanation:

take 20 from 100 and give them to 60.

take 10 from 90 and give to 70.

adds ut to avg 80

Convert the equation below into slope intercept form:
y-4= -2(x+1)

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

Simplify

y-4 = -2(x+1)

y - 4 = -2x - 2

add 4 to both sides

y = -2x +2

Answer:

y = -2x + 2

Step by step:


Which is a possible leading term for the graph
shown?
2x^3 -2x^3 2x^4 -2x^4

Answers

Answer:First answer 2x^4. Second answer + and +

Step-by-step explanation:

Just did it on edge

Answer:

C

Step-by-step explanation:

I’m smart

Find the value of x that makes FGH~JKL

Answers

180 degrees it’s the answer

(ONLY ANSWER THIS IF YOU WANT TO PLAY AMONG US PLEASE I WANT TO PLAY!!!)

Answers

Answer:

Whats the code?

Step-by-step explanation:

Ill play with u

f(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2)

show all work

Answers

Answer: 1

f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5

g(x) = x² => g(2) = 2² = 4

=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

WHAT IS THE VALUE OF THIS EXPRESSION BELOW WHEN Z=3
3z-1?

Answers

Answer:

8

Step-by-step explanation:

3(3)-1

=9-1

=8

PLS GIVE BRAINLIEST

The answer is 8

Hope this helps!!
And if you need it written out, go to the dude up top lol ✌

if x^2+25y^2=416 and x-5y=-16 the value of xy is

a)16
b)8
c)-8
d)-16

Answers

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

PLZ HELP ME ANSWER THIS!!!!

Answers

Answer: 4,5,-4,23

Step-by-step explanation:

help me on my math pwease

Answers

Answer:

Part a: C

Part b: 2x34

d=68

Step-by-step explanation:

What is the slope of this line?

Answers

Answer:

Slope = rise/run

          = 1/4

Answer:

Slope is 1/4, or .25

Step-by-step explanation:

If you use rise over run, you will find that the slope is 1/4.  

Say you take two points, (-4,5) and (8,8). Subtract 5 from 8, and you get 3. Then subtract -4 from 8, you get 12. 3/12 simplified is 1/4, thus your slope is 1/4.

The rodent control task force went into the woods one day and caught 200 rabbits and 18 squirrels. The next day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. Each day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. This continued through the day when they caught more squirrels than rabbits. Up through that day how many rabbits did they catch in all? I NEED HELP ASAP PLS!! WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

6068 rabbits

Step-by-step explanation:

Given

[tex]Rabbits = 200[/tex]

[tex]Reduction = 3\ daily[/tex]

[tex]Squirrels = 18[/tex]

[tex]Increment = 2\ daily[/tex]

Required

Determine number of rabbits caught up till the day when they caught more squirrel.

Let the number of days be n

On any n day,

The number of rabbits they catch is:

[tex]Rabbit = 200 - 3n[/tex]

The minus symbol is used because there's a reduction in the numbers of Rabbit caught, each day.

The number of squirrel they catch is:

[tex]Squirrel = 18 + 2n[/tex]

The addition symbol is used because there's an increment in the numbers of Squirrel caught, each day

First, we need to solve for n

The expression when they catch more rabbits than squirrel is:

[tex]Squirrel > Rabbit[/tex]

Substitute values for Squirrel and Rabbit

[tex]18 + 2n > 200 - 3n[/tex]

To solve the above expression, we start by collecting like terms

[tex]2n + 3n > 200 - 18[/tex]

[tex]5n > 182[/tex]

Solve for n

[tex]n > \frac{182}{5}[/tex]

[tex]n > 36.4[/tex]

Days must be an integer. So, we have to round the above value.

[tex]n > 36[/tex]

The above expression shows that they caught more squirrel on a day greater than 36.

This day is 37.

i.e.

[tex]n = 37[/tex]

The reduction in the number of rabbits daily is an indication of Arithmetic progression.

So, to calculate the number of rabbits caught up till the day when they caught more squirrel, we make use of Sum of n terms of an AP using:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

In this case:

[tex]n = 37[/tex]

a = Initial Number of rabbits;

[tex]a = 200[/tex]

d = the reduction (common difference)

[tex]d = -2[/tex]

Substitute these values in the given formula:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + (37 - 1) * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + 36 * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(400 -72)}[/tex]

[tex]S_{37} = \frac{37}{2} * 328[/tex]

[tex]S_{37} = 37 * 164[/tex]

[tex]S_{37} = 6068[/tex]

Up till that day, the number of rabbits is 6068

Two rectangular boxes have the same volume. One box is a cube, and the other box has dimensions 8 ft by 4 ft by 16 ft. How many feet long is an edge of the cube?

Answers

Answer:

8 feet

Step-by-step explanation:

All you have to do is find the area of one box and find the root to find the cube edge, as it says they have the same volume.

Lets find the volume of the rectangular box.

8 x 4 x 16 =

32 x 16 =

512.

The volume of the cube is 512 feet cubed, but you are looking for the edge.

The edge cubed should be equal to 512 feet cubed.

So 512 cube root is 8, because 8 x 8 x 8 is 512.

8 feet.

Hope this helps!

Answer:

The answer to your question is 2744 ft³

Step-by-step explanation:

Data

length = 14 ft

width = 14 ft

height = 14 ft

- Volume of a Cube

Volume = length x width x height

-Substitution

Volume = 14 x 14 x 14

-Simplification

Volume = 2744 ft³

Conclusion

The volume of this cube is 2744 ft³

hey help me pls:^
will give Yuh brainliest!!!!!​

Answers

Answer:

1) x+10

2) 1/2

Step-by-step explanation:

Answer:

1.

[tex]x + 10[/tex]

2. 1/2

Write and evaluate the expression. Then, select the correct answer.

ten times the sum of seven and a number;
evaluate when j = 1

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries ten, times, the sum of, seven, a number. Column 2 is labeled Replace with entries 10, times, (+), 7, j.

10 × 7 + j; when j = 1, the value is 71
7(10 + j); when j = 1, the value is 77
10(7 – j); when j = 1, the value is 60
10(7 + j); when j = 1, the value is 80

Answers

Answer:

The correct option is:

10(7+j); when j=1, the value is 80.

Step-by-step explanation:

Let 'j' is the number

Ten times the sum of seven and a number means:

10(7 + j)

When j=1, the expression becomes

[tex]10(7+j) =10(7+1)[/tex]

              [tex]=10(8)[/tex]

              [tex]=80[/tex]

Hence, the value of the expression at j=1 is 80.

i.e.

10(7+j); when j=1, the value is 80.

Therefore, the 4th option is the correct answer.

Answer:

10(7 + j); when j = 1, the value is 80

Step-by-step explanation:

because i just did it

Which equation represents the amount, A, each member receives?

Answers

Answer:

What equations? there's no picture to reference

What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

Step-by-step explanation:

domains:-6,-4,-1,4

Range:5,3,0,3

will you include the image of the line so i can answer the rest of the question?

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back

Answers

Answer:

$1860

Step-by-step explanation:

12% of 1500 = 180

180 x 2 = 360

1500 + 360=1860

Answer

1680

Step-by-step explanation:

180 as simple interest         1680 as total amount to pay back

What is the slope of the line represented by the equation y= -1/2x + 1/4?

Answers

Answer:

The slope of the line is -1/2

the slope is -1/2

y=mx+b

mx=slope

in your equation m= -1/2



Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping

station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and

advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)

Answers

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

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