what is the solution set to |2x-3|=7?

Answers

Answer 1

X=5 ok so this is the solution bc ur gonna do reverse mathematics so first u start out addig the 3 and the 7 so thats 10 and u rewrite ur equation 2x=10 and then you can divide 10 by 2 which is 5 and that would be ur solution but to double check u can rewrite the whole equation . 2x5-3=7 and it all matches up . hope it helped :)

Answer 2

2x-3=7

add 3 to both sides

2x = 10

divide both sides by 2

x = 10/2

x = 5

since the equation is between 2 lines, which means absolute value x can be both positive and negative,

so the solution set is -5 and 5

Related Questions

Alicia plots a point at (0, 5) and (0, -2). What is the distance between the points?

Answers

In (5,0), five represents how many times he will move over in the X axis. Since it’s zero, you do not move at all. However you will move five spot up, because the five is on the Y axis. Then, he will do the same thing with your second pair of coordinates. You do not move on the X axis, but you will move two spots down on the Y axis. Then, trace your pencil between the two dots. You will notice that it passes seven intersections, so your answer will be seven units.

It would be 7 units because when you put down the points and you draw a diaganal line between the two points and it crosses 7 intersections.

Hope you stay safe and this answer helps you.

Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Answers

Final answer:

By adding the distance from A to M to A's coordinate, we find that M's coordinate is 1.

Explanation:

The question asks to find the coordinate of point M on a number line where point A has a coordinate of −1.5, point B has a coordinate of 6, and the ratio of the distances AM to MB is 1:2. To solve this, we first identify that AM and MB are segments on the number line with point M somewhere between A and B. Since AM:MB = 1:2, we know that for every unit distance from A to M, there are 2 unit distances from M to B.

The total distance between A and B is 6 - (−1.5) = 7.5 units. Dividing this distance in the ratio 1:2, implies that AM takes up one-third of the total distance and MB takes up two-thirds of the total distance. Therefore, AM = ¼ * 7.5 = 2.5 units. Adding this distance to the coordinate of A gives us the coordinate for M: −1.5 + 2.5 = 1. So, the coordinate of point M is 1.

Help Please!

The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:

V = 2s3

If s = 3.5 units, what is the value of V?

A: 21.0 cubic units
B: 24.5 cubic units
C: 36.75 cubic units
D: 85.75 cubic units

Answers

Answer:

85.75 cubic units

Step-by-step explanation:

You got the formula [tex]V=2s^3[/tex] and you know that s = 3.5 units

The only thing you need to do is to substitute the value of s in your formula. This is

[tex]V= 2(3.5)^3[/tex]

And you need to do all the operations

[tex]V= 2(3.5)^3 = 2(42.875) = 85.75[/tex]

And your answer is D

The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units as,

⇒ V = 2s³

Here, We have;

s = 3.5 units

Hence, We get;

⇒ V = 2s³

⇒ V = 2 × 3.5³

⇒ V = 85.75 cubic units

Thus, The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

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What is 7√11√ in simplest radical form? Enter your answer in the box.

Answers

23.21 is the answer i believe

Answer:

[tex]\sqrt{\frac{7}{11} }[/tex]

Step-by-step explanation:

The right expression of the question is

[tex]\frac{\sqrt{7} }{\sqrt{11} }[/tex]

The simplest radical form of this expression is obtained by applying the right property, which is about the quotient between radicals. According to this property, the quotient of radical is equal to the radical of the quotient, that is

[tex]\frac{\sqrt{7} }{\sqrt{11} }=\sqrt{\frac{7}{11} }[/tex]

The heaviest ball made by a bowling ball company weighs 16 pounds. Last week, the company shipped 10,000 of these balls. What was the total weight of these balls. Multiply 16 by 1 to find the weight of 1 of these balls. 16 x 1 = ____ ones = ____

Answers

10,000 balls
16 lbs*10,000=160,000 lbs

16*1
16*1=16 ones=16

Jamal hiked on two trails . the First trail was 5 1/3 miles long and the second trail was 1 3/4 times as long as the first.how many miles did jamal hiked?

Answers

all you have to do is add the miles Jamal hiked
5 1/3+1 3/4= 7 1/12

6 and 7/12 Is the answer Because 3/4 and 1/3 is Equivalent to 7/12 Hope it works out:)

In May 2009, exactly 20,336 tent campers stayed at Grand Canyon National Park. What was the average number of campers per day in May? (May has 31 days.)

Answers

20,336÷31=656
so the average number per day in may was 656 campers

Which absolute value function defines this graph?

Answers

The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3

Answer:

A. [tex]f(x)=-4|x+2|+3[/tex]

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is [tex]f(x)=|x|[/tex] with vertex at (0,0)

We can see that the vertex of our given function is at [tex](-2,3)[/tex]. This means that our function is shifted to left by 2 units. We can represent this information as: [tex]f(x)=|x--2|=|x+2|[/tex]

We can also see that our graph is reflected across x-axis, so after reflection our function would be [tex]f(x)=-|x+2|[/tex]

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be [tex]f(x)=-|x+2|+3[/tex].

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be [tex]f(x)=-4|x+2|+3[/tex].

Therefore, option A is the correct choice.

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−1.5x+3

Answers

Final answer:

The coordinates for the points of intersection of the line y=-1.5x + 3 with the coordinate axes are (0,3) for y-axis and (2,0) for the x-axis.

Explanation:

To find the points of intersection of the line with the coordinate axes, we will set the values of y and x to zero separately. So, let's start from the intersection of the line with the y-axis. For this, we set x=0 in the equation y = -1.5x + 3. Thus, y = 0*(-1.5) + 3 which gives us y = 3. So one point of intersection is (0,3). Next, finding the x-intercept requires setting y=0, which gives 0 = -1.5x + 3. Solving this equation, we get x = 3 / 1.5 or x=2. Hence, the other point of intersection is (2,0). Therefore, the coordinates for the points of intersections are (0,3) and (2,0).

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A number is divided into the ratio 5:9. If the first part is 35, find the number.

Answers

175 is the correct answer.

janet's recipe calls for 6/8 cup of milk. what is this fraction in simplest form?
2/4
2/3
3/4
1/3

Answers

You can easily simpligy this fraction by taking a 2 out of the top and bottom of it.

6/2=3
8/2=4

Your answer is 3/4

I hope this helps!

The answer would be C, 3/4. Because, the greatest common factor of 6 and 8 is 2, meaning to simplify the fraction, you divide both of them by 2. So, 6 divided by 2 is 3 and 8 divided by 2 is 4, meaning that this fraction in simplest form is 3/4. Hope this helps!

use the distributive property to simplify -5(-2f-6)

Answers

-5(-2f-6)

distribute by multiplying -5 by everything inside the parenthesis

-5 * -2f = 10f

-5 *-6 = 30

so you get 10f+30

-5(-2f-6)

-5•-2f = 10f
-5•-6=30

(negative • negative = positive)

10f+30 is your answer

sam is trying to lose weight and George is trying to gain weight. Sam's weight in pounds can be represented by the function f(x) = 240 - 2x, where x is the number of weeks since Sam started losing weight. Georges weight in pounds can be represented by the function g(x) = 180 + 4x, where x is the number of weeks since George started gaining weight.

Answers

The point of intersection between the functions is (10,220), meaning that at 10 weeks they both weight 220 pounds

A line contains the points (-12, -60) and (60, -42).

What is the slope of the line in simplified form?

Answers

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The slope of a line which contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]

is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The given is:

1. Point (-12 , -60) lies on the line

2. Point (60 , -42) lies on the line

We need to find the slope of the line

∵ [tex](x_{1},y_{1})[/tex] = (-12 , -60)

∵ [tex](x_{2},y_{2})[/tex] = (60 , -42)

- Substitute these values in the rule

∴ [tex]m=\frac{-42-(-60)}{60-(-12)}[/tex]

∴ [tex]m=\frac{-42+60}{60+12}[/tex]

∴ [tex]m=\frac{18}{72}[/tex]

∴ [tex]m=\frac{1}{4}[/tex]

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

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-9(-4w^3+4-3v^2) i need the answer

ILL GIVE YOU 12 POINTS

Answers

26w^3 + 27v^2 - 36
26w³ + 27v² - 36

the answer is 36w^3- 36 + 27v^2

Can someone help me with this? Please look at the top, write it in standard form.

Answers

11. .0000003
12. 9050.

I'm not sure about 12,
but I do know 11 is correct.

What are the answers for the questions and can you check if I got the other one right please and thank you

Answers

1. -13
2. 3.5
3. -11
4. -4
5. -36
6. 7.7
7. 1
8. 79
9. 79
10. 15.75

If f(x) = –4x + 3 and g(x) = 3x2 + 2x – 4, find (f + g)(x).

A. (f + g)(x) = –2x – 1
B. (f + g)(x) = 3x2 + 6x + 7
C. (f + g)(x) = 3x2 – 2x – 1
D. (f + g)(x) = 4x – 1

Answers

You just need to add the two equations so (-4x+3)+(3x^2 +2x-4)
You end up with c. 3x^2-2x-1

Answer:

Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Step-by-step explanation:

f(x) = –4x + 3 and g(x) = 3x² + 2x – 4

We have to find (f + g)(x).

We know that (f+g)(x)=f(x)+g(x)

⇒ (f+g)(x)=-4x+3+3x²+2x-4

⇒ (f+g)(x)=3x²-2x-1

Hence, Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?

Please help

Answers

Sofia will need to place the sticker 1.25 or 1/4

5/8 inches because since it wasn't specified what way the box was placed,3 3/4 - 2 1/2=1 1/4, 1 1/4 is the space that is not taken up by the sticker, dividing 1 1/4 gives you 5/8,you divide cuz it is from the edge since the sticker is in the direct middle, both side is the same

Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate? –250 –240 240 250

Answers

Answer:

-250

Step-by-step explanation:

Answer: yeah it's -250

Step-by-step explanation: just submitted the test

fill in the blanks.
principal: $450
rate: ?
time: 3 years
interest earned: 67.50
new balance: ?

Answers

Hi there! I can help you.

Rate: To find the rate, let’s divide interest earned by the principal. When you do, you get 0.15. Multiply by 100 to get 15 and divide by 3 to get 5. The simple interest rate is 5%.

New balance: All you have to do is add the principal and he new balance. When you do, you get 517.5. The new balance is $517.50.

To find the missing rate and new balance, we used the simple interest formula. The rate was calculated to be 5% and the new balance after 3 years, including interest earned, was determined to be $517.50.

The subject in question here is simple interest calculation, which is a fundamental concept in finance and mathematic subjects. To solve for the missing rate and new balance, we can use the formula Interest = Principal x rate x time.

Principal: $450Rate: ? (We will solve for this)Time: 3 yearsInterest Earned: $67.50New Balance: ? (We will solve for this too)

First, we rearrange the interest formula to solve for the rate:

Rate = Interest / (Principal x Time)

Plugging in the provided numbers:

Rate = $67.50 / ($450 x 3)

Rate = $67.50 / $1350

Rate = 0.05 or 5%

Now, we find the new balance using the formula:

New Balance = Principal + Interest

New Balance = $450 + $67.50

New Balance = $517.50

Therefore, the interest rate is 5% and the new balance after 3 years is $517.50.

WILL GIVE BRAINLIEST!

Answers

the answer will be 4000

Negative K over five equals seven over five

Answers

Hey! Sorry about your misunderstanding of your work, Allow me to help :)

Let's turn that phrase into an equation.

Negative K ( - k) over five ( /5 ) equals ( = ) seven (7) over five ( /5)

Let's put that together.

- k/5 = 7/5

To solve, we need to get rid of the fraction by getting rid of the denominator, in this case, the denominator for both sides is 5. Multiply each side by 5 to cancel out the 5. We get :

- k = 7

Now we need to get rid of that negative sign next to k, so what we do is divide each side by -1 so we can cancel out that negative 1 next to k.

Our Final answer is k = -7 .

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same? (GB means “gigabytes of data.”)

Answers

8n = 20 + 6(n – 2)
Next time write the whole equation down.

Answer:

5n = 30 + 3(n - 4)

Step-by-step explanation:

A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.

The expression below describes this situation.

688−2x

A. What does the expression represent?

A. the number of jeans sold with each purchase

B. the number of jeans the stock is reduced by from each sale

C. the total amount of jeans in stock after each sale

D. the number of jeans purchased

Answers

I think that it is A. I'm tired and it is two in the morning

Answer:

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased.

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase.

Step-by-step explanation:

Given information:

Total number of jeans = 688

He decides to reduce the stock by having a buy one get one free sale. It means that every purchase will reduce this inventory by 2 pairs of jeans.

Average rate of change = -2

Let x be the number of purchase.

So, the total amount of jeans in stock after each sale is

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase

what is hundred-seventy as a fraction.

Answers

Hello,

To write 170 as a fraction ,you have to write 170 as the numerator and put it over 1 for the denominator.

After that, you now multiply numerator and denominator by 10.

170 = 170/1 (x 10) = 1700/10

The answer then is:
170 as a fraction equals 1700/10

Hope this helps.

May

To convert 175% to a fraction, write it as 175/100 and then simplify by dividing both numerator and denominator by their greatest common divisor, 25, which gives a simplified fraction of 7/4.

One hundred seventy five percent as a fraction can be converted by writing the value of the percent as a fraction with a denominator of 100. To convert the percent to a fraction, we write 175% as 175/100. This fraction can then be simplified. To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 25.

Here is the step-by-step simplification process:

Write 175% as a fraction: 175/100

Divide both the numerator and the denominator by 25: (175 ÷ 25) / (100 ÷ 25) = 7/4

The simplified fraction for 175% is therefore 7/4.

complete question given below:

What is one hundred seventy five percent as a fraction?

Frank goes grocery shopping every 9 days Susan does her grocery shopping every sixth day the went shopping today and we're able to car pool how many days will pass before they can car pool again

Answers

18 days. It is the least common denominator of the two numbers.

improper fraction of 1 7/8

Answers

To convert to an improper fraction, first convert 1 into a fraction with 8 in its denominator. To do this, multiply 8 by 1. This will give you the numerator. 1 = 8/8.
Now, add 8/8 and 7/8. This gives you your answer. Don't add the denominators.
8/8+7/8 = 15/8

In order for this to be an improper fraction it is 15/8 8x1=8 8+7=15 15/8

One mile is equal to 5,280 feet.

How many feet are in 6 miles?

(BLANK) ft

Answers

If one mile is equal to 5,280 feet, and we want to find how many feet are in six miles, we have to multiply the two numbers.

6 x 5,280 = 31,680

31,680 ft

Hope this helps! Let me know if you have any questions:)

The answer is 31680 feet,
5280
><6
----------
31680
Hope it help!
: )

The scatterplot and trend line show a positive correlation between advertising costs and sales. The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line? y = 15x + b

Answers

When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21

Confirm this value by checking (6.6, 120).
15*6.6 + 21 = 120 (Correct)

Answer: b = 21

The value of b in the equation of the trend line is 21

The equation of the trend line of the scatter plot is given as:

y = 15x + b

The points are given as: (6.4, 117) and (6.6, 120).

Using (6.4, 117), we have:

117 = 15 * 6.4 + b

Evaluate the products

117 = 96 + b

Subtract 96 from both sides

21 = b

Rewrite as:

b =21

Hence, the value of b in the equation of the trend line is 21