solve |x-3|=7 plz help asap I will mark brainliest

Answers

Answer 1

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Answer 2

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.


Related Questions

what is the equation of the blue line?

Answers

Answer: y = 3x + 2

Step-by-step explanation:

[tex]\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\[/tex]

Let's choose two arbitrary points on the graph.

For example, let these be points with coordinates (1, 5) and (2, 8).

Substitute the coordinates of these points into the above formula and derive the equation of a straight line.

[tex]\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2[/tex]

hope this helps! feel free to clarify

The 1,450 students at Classical Academy were surveyed about their use of text messaging. How many students said they text 0-50 times a day?

Answers

Answer:25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 2/3 inches. if he completely fills the shipping box, how many ring boxes can he ship?

Answers

Answer:

I’m sorry but is this all the information given? Because this is incomplete.

Step-by-step explanation:

There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)

This should include the dimensions of the shipping box.

Exactly what they said ^^^^^^^^^

i dont understand this

Answers

Answer:

you should use pythagorus theoram

h square=b square plus p square

The little box on the right angle is 90degrees and the other angle whatever it is, just add those 2 together and subtract from 180 there’s your answer

after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall

Answers

Answer: The missed points will subtract 10 from the total score.

Step-by-step explanation:

A missed landing subtracts 2 points.

If they miss the landings 5 times, you know have a problem of 5x2.

5x2=10

Therefore, The points will subtract 10 from the total score.

Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!

Answers

Answer:

1,3 and the last one

Step-by-step explanation:

1,3 and last step!!!!!

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.

Answers

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

n is the number of termsa is the first number of the series an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?

Answers

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

Write the expression as an exponent:
2^9 * 32

Answers

2^9 x 32 in exponential form would be 2^14 (two to the fourteenth power)
(29)(32) = (29)(25) = 29+5 = 214

Final Exam 7/28/21
Score: 20/24 20/27 answered
Progress saved Done
6 VO
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Question 2
<
>
B0/1 pt 53 19 Details
Find a degree 3 polynomial having zeros - 3, 4 and 7 and the coefficient of 23 equal 1.
The polynomial is
Question Help: Video
Submit Question

Answers

Answer:

x^3-8x^2-5x+84

Step-by-step explanation:

The polynomial can be found by expanding (x+3)(x-4)(x-7)=x^3-8x^2-5x+84

find the value of (x+5y)' step by step

Answers

Answer:

x²+10xy+25y²

Step-by-step explanation:

(x+5y)²=(x+5y)(x+5y)=x×x+5y×x+x×5y+5y×5y=x²+5xy+5xy+25y²=x²+10xy+25y²

But it can be much easier

(a+b)²=a²+2ab+b²

Answer:
X^2 +10xy + 25y^2

Please help! Its a test! I will give brainly!

Question,

You have a corn root sample and a corn stem sample on microscope slides. When you view the samples through a microscope, the magnification number tells you how many times larger the image will be than the actual size. You see only a portion of the enlarged image.

a. The corn root sample is 0.6 millimeter wide. You magnify the image by 400. What is the width of the magnified corn root image?

_______ Milliliters


b. You magnify the corn root sample by 1,200 . How much wider is the image when magnified by 1,200 than by 400 ?

_______ Milliliters

c. You have a sample of a corn stem. The corn stem sample is 9.6 times wider than the corn root sample. What is the width of the corn stem sample?

________ Milliliters

Answers

bonjour,

c. 5.76 millilitres

0.6 x 9.6

e) A and B are the subsets of a universal set U. If n (A) = 63, n (B) =72.
n (AUB) ,= 115, n (AUB) = 20, find
(i) n (U)
(ii) n(u)
(iii) n (Anb)
(iv) n (only A)
Also illustrate the above information in Venn-diagram.

Answers

sorry, there are two (AUB), I think one should be n(AnB) and i.e n(AnB)=20.Right?

A is the correct answer

simplify 2^x+4-2^x/5*2^x
step by step

Answers

Answer:

4/ 5 x 2^x

Step-by-step explanation:

2^x +4-2^x / 5^2

First we multiply everything by 5^2/5^2

2^x + 4-2^x (5^2x) / (5^2)(5^2)

= 2^x + 4-2^x 5^2x we see 2 x 5^2

= 2^x+4-2 x 5^2x +5^2x   / (5^2)(5^2x) 2^x cancels with 2^x as subtraction and 5^2x base cancels with top also

= 4/ 5 x 2^x

that answer is to correct to support

simplify 6^x+2-6^x/7*6^x

step by step.

Answers

Answer:

[tex]{ \tt{ = \frac{ {6}^{x} +( 2 - {6}^{x}) }{7. {6}^{x} } }} \\ { \tt{ = \frac{ {6}^{x} (1 + 2 - 1)}{7. {6}^{x} } }} \\ = { \tt{ \frac{2}{7} }}[/tex]

G^x +2-6 8x/7. Hope this helps

If 8 apples can make 3 pies, then how many pies can you make with 24 apples?

A: 64
B: 24
C: 11
D: 9
E: 6

Answers

D answer is 9 , 24/8 = 3
3x3=9
The answer is D because 8 apples are part of the 24 apples which means that 24/8 = 3 which is 3 pies and 3 pies times 3 pies makes 9

math problem for highschool

Answers

Answer:

297 units squared

Step-by-step explanation:

You just have to break the squares down and compare them to the other sides of the squares.  For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4.  By looking at the side relationships of the squares, you can easily find the dimensions of each one.

A - 9 by 9

B - 5 by 5

C - 6 by 6

D - 7 by 7

E - 1 by 1

F - 4 by 4

G - 8 by 8

H - 5 by 5

Multiply and add to get 297

Answer:

297 units squared

Step-by-step explanation:

Aaron is 63 inches tall. In order to ride a roller coaster at an amusement park, a person must be 5 feet tall. Is Aaron tall enough to ride a roller coaster? How many inches shorter or taller is he than 5 feet Circle the letter of the correct answer

Yes. He is 3 inches taller than 5 feet
Yes. He is 13 inches taller than 5 feet
No. He is 7 inches shorter than 5 feet
No. He is 17 inches shorter than 5 feet


Tina chose A as the correct answer. How did she get that answer?

Answers

Answer: Tina is correct

Step-by-step explanation:

this is because in one foot there are 12 inches and there are 5 feet so 5 X 12= 60 and aaron is 63inches so he is tall enough and 63-60=3 inches so he is 3 inches taller than 5 feet.

Pls give me brainliest!!!

Answer:

Yes. He is 3 inches taller than 5 feet

Step-by-step explanation:

We know that 1 ft is 12 inches

5 ft  * 12 inches/ 1 ft = 60 inches

You must be 60 inches to ride and Aaron is 63 inches

He is 3 inches taller

63 - 60 = 3 inches

a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?

Answers

Answer:

2856

Step-by-step explanation:

if you multiply 238 by 12

you will get the ans

Answer: 2856

Step-by-step explanation:

A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months,  multiply the unit rate by 12.

The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.

y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.

help plss

Answers

Answer:

160 cm

Step-by-step explanation:

y=6.5(13)+75.5

y=160 cm

Or about 5.2ft

If the equation of the line of best fit is y = 6.5x + 75.5, the predicted median height of boys at age 13 is 160 cm.

To predict the median height of boys age 13, we can use the equation of the line of best fit relating age (x) and median height (y) for boys, which is given as:

y = 6.5x + 75.5

To find the predicted median height at age 13, we substitute x = 13 into the equation and solve for y.

Plugging in x = 13, we have:

y = 6.5(13) + 75.5

Calculating the expression, we get:

y = 84.5 + 75.5

Simplifying further, we have:

y = 160

Using the equation of the line of best fit, we can estimate the relationship between age and median height for boys. In this case, plugging in x = 13 into the equation, we find that the predicted median height at age 13 is 160 cm.

To learn more about equation click on,

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PLZ HELP SOON
Bill and Xiadan each flip a fair coin three times. What is the probability that they will flip the same number of heads?

Answers

12.5%. there is a 1 in 8 chance that all three times it will land on heads.
There is a 1 in 8 chance it would flip on heads so about a 12.5%

The equation below shows the relationship between the number of apples purchased, a, and the total cost
of the apples in dollars, c. Based on the equation, what is the cost per apple, in dollars?
a/5 = c/4
a. $0.80
b. $1.25
c. $4.00
d.$ 5/3

Answers

Answer:

C

Step-by-step explanation:

a (5) = c (4)

5 x 4 = 20

20 (total) divided by the 5 apples is $4.

The answer is c! $4.00

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).

Answers

Answer:  1,2.4

i'm not sure thoo

Step-by-step explanation: :3

The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

What is parallelogram?

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

Given that:-

The coordinates the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).

The intersection point will be the midpoint between the points G and J or points K and H.

The coordinates of the points H and K are ( 3,5)  and K ( -5,-1). So the midpoint will be calculated as:-

Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]

Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]

Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]

Midpoint = (-1,2)

Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

To know more about parallelogram follow

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Please help me fast! I will give brainly

This is the question,

YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?

10-(5x2)+7 or 10-5x2+7

Yes or No

And Explain the answer

Answers

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

10-(5x2)+7 or 10-5x2+7

Find the missing numbers.

Answers

Answers

1. 6
2. 1
3. 4

Answer:

Step-by-step explanation:

1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)

pls pls pls help i rlly need the asnwer soon

Answers

Answer:

(1. 5

(2. 180

(3. 900

(4. 5180=900

Step-by-step explanation:

The answer to 1 and 2 is 5 and 180

NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIEST

Task 1 - Nonlinear Systems of Equations

Create a system of equations that includes one linear equation and one quadratic equation.
-
Part 1. Show all work in solving your system of equations algebraically.
-
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
-
Task 2 - Polynomial Identities

Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
-
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
-

Answers

Answer:

f(x)5.79(3)^2 for task 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Task 1:

Non linear systems of equations:

x + y = 1 -------------------(I)     {Linear equation}

     y =  1 - x

y = x² - 5 ---------------(II)   {Quadratic equation}

Substitute y =1 - x in equation (II)

(II) -->   1 -x = x² -5

Add 'x' to both sides

1 = x² + x - 5

0 = x² + x - 5 - 1   {Subtract 1 from both sides}

x² + x - 6 = 0

x² + 3x - 2x - 6 = 0    {Rewrite the middle term}

x( x + 3) - 2(x + 3) = 0    

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

x + 3 = 0       ;  x - 2 = 0

x = - 3   ; x = 2

When x =  - 3 ,   y = 1 -(-3 )

                              = 1 + 3

                             y = 4

When x = 2  ; y = 1 - 2 = -1

Solution of the equations:  (-3,4)  & ( 2,-1)

Task 2:

Part 1: x = 40   ; y = 30

(x - y)² = x² - 2xy + y²

(40 - 30)² = 40² - 2*40*30 + 30²

               = 1600 - 2400 + 900

               = 2500 - 2400

                = 100

Part 2:

a = 10 , b = 11

a³ + b³ = (a + b)(a² - ab +b²)

(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )

              = 21* (100 - 110 + 121)

              = 21 * ( 221 - 110)

              = 21 * 111

              = 2331

             

In training for a swim meet, Tom swam 1000 meters in 2/3 hour. His swimming partner, Carl, swam 1/2 of his distance in 1/3 hour.

Answers

Answer:

1. 25 meters per hour

2. 500 meters

3. 25 meters per hour

4. the same speed as

Step-by-step explanation:

I didn't know the options for 4 so hopefully this is correct :)

Yea what he said ……………

The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)

a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.

b. Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552
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