Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that have the following solution sets:

Two Solutions: x=2, x=14

Answers

Answer 1

Answer:

|x − 8| = 6

Step-by-step explanation:

|x − b| = c1. x - b = c ⇒ x = b + c2. x - b = -c ⇒ x = b - c

We have solution:

b + c = 14b - c = 2

Add up these two equations:

2b = 16b = 8

Find c:

c = 8 - 2 = 6

The original equation is:

|x − 8| = 6

Related Questions

What are the x-intercepts of y = 4x^2 + 4x + 1?

Answers

Answer:

hope this helps:) have a good day

Answer:

-1/2 is the x vertex.

Step-by-step explanation:

(y = ax^2 + bx + c),

-(b)/2(a)

-(4)/2(4)

-4/8 = -1/2

-1/2 is x

There is a bag containing 10 red, 10 blue, and 10 yellow pieces of paper. Each paper color is numbered from 1 to 10. How would you express the probability that you select a blue piece of paper given that it has a number 10 on it?

A. P(blue)
B. P(10)
C. P(blue|10)
D. P(10|blue)

Answers

Answer:

D. P(10|blue)

Step-by-step explanation:

The correct expression for the probability of selecting a blue piece of paper given that it has the number 10 on it is:

C. P(blue|10)

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here, "blue|10" means "blue given 10," which represents the conditional probability of selecting a blue paper given that the selected paper has the number 10 on it.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

In this case, A represents the event of selecting a blue piece of paper and B represents the event of selecting a paper with the number 10 on it.

We know that there are 10 blue pieces of paper and each color has 10 numbered pieces, so the total number of papers is 10+10+10=30.

Thus, the probability of selecting a paper with the number 10 on it is:

P(B) = 3/30 = 1/10

Out of the 10 blue pieces of paper, only one has the number 10 on it. Thus, the probability of selecting a blue piece of paper given that it has the number 10 on it is:

P(A and B) = 1/30

Therefore, the probability of selecting a blue piece of paper given that it has a number 10 on it is:

P(blue|10) = P(A and B) / P(B) = (1/30) / (1/10) = 1/3

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ5

solve 15 × 62 without using a calculator​

Answers

Answer:

930

lol

Step-by-step explanation:

What is the effect of the b value in an exponential function? y = a* b^x


someone please help ive been asking and no one has answered

Answers

B is the starting point of the function. It is when x = 0 on the y axis.

now this is truly confusing pleases help possibly?

Answers

Answer:

The value of A5  is   25

Step-by-step explanation:

       L = a1 + (n - 1) x d

                     a1 = 9             n = 5              d = 4

L = 9 + (5 -1)x4

L = 9 + 4x4

L = 9 + 16

L = 25

Answer:

The value of [tex]\alpha {5}[/tex] will be 25

Step-by-step explanation:

have a nice day

Can someone help me with this Edginuity question?

Answers

100 inches times 12 1 minute 1 foot

Mai hiked up a trail for 40 minutes. Name the time period where she gained elevation. PLEASE HELPPPPPPPP

Answers

22-26 minutes is where she hiked fastest

In the xy-plane, the graph of the equation y = x2 +2 intersects the x-axis in how many points?
O Zero
O One
Ο Two
O More than two

Answers

Answer:

0

Step-by-step explanation:

Here, we want to get the number of times the graph of the function intersects the x-axis

Mathematically we need to know the number of roots the function has

We can get this by the use of the discriminant

This is:

D = b^2 - 4ac

b is the coefficient of x which is 0 here

a is the coefficient of x^2 which is 1 here

c is the last number which is 2

So;

D = 0^2 -4(1)(2) = 0-8 = -8

the discriminant value is negative

This means there are no real roots

x-y plane is used for real numbers and thus since there are no real roots, the graph of the equation will not intersect any point on the x-axis

ASAP PLEASE HELp!!! I WILL GIVE BRAINLEST!!!

Challenge-multistep:
Find the measure of arc AE

Answers

Answer:

Its 100

Step-by-step explanation:

I think <3 trust me on this shawty but not if its wrong

Help me you will get the brain thing I need help with number 1

Answers

Answer:

A = (5, 4)

B = (4, 3)

C = (5, 2)

D = (6, 3)

Step-by-step explanation:

Before I do anything, I will write the figure's coordinates for ABCD

A = (2, 3)

B = (1, 2)

C = (2, 1)

D = (3, 2)

Now, a translation means adding and or subtracting the x and y coordinates within the ordered pairs.

3 units right means add 3 units to the value of coordinate x. Coordinate x will always be for any horizontal movement (left and right).

1 unit up means add 1 unit to the value of coordinate y. Coordinate y will always be for any vertical movement (up and down).

Make these adjustments to each ordered pair:

A = (2 + 3, 3 + 1)

A = (5, 4)

B = (1 + 3, 2 + 1)

B = (4, 3)

C = (2 + 3, 1 + 1)

C = (5, 2)

D = (3 + 3, 2 + 1)

D = (6, 3)

Unfortunately I cannot graph the points for you, but if you mark each ordered pair I've given and then connect them together with lines, it will be graphed.

Please help I am stuck. This is due in one hour so please help. ​

Answers

Answer:

d

Step-by-step explanation:

d is correct 180-43=137

Answer:

D) m<4 = 137

Step-by-step explanation:

m<3 + 56  = 180

m<3 = 124

m<1 + 43 + 56 = 180

m<1 + 99 = 180

m<1 = 81

m<4 + 43 = 180

m<4 = 137

m<2 + <1 = 180

m<2 + 81 = 180

m<2 = 99

Find the slope of the line that passes through (5,2) and (10,7).

Approximate the answer to two decimal places.

Answers

Answer:

Hi! The nswer to your question is m = 1

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

1

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

So the y2 is 7 and the y1 is 2. The x2 is 10 and the x1 is 5. So when you plug those in you have 7-2/10-5. That simplifies to 5/5 which is 1.

Question 10 of 11 Find the measure of the exterior 1 60 252 O A. 95 OB. 85 OC. 35 O D. 120

Answers

Answer:

would help if u had a picture im assuming those numbers are a with shape

what is 2.1 divided by 1.488 rouded to the nearest tenth

Answers

Answer:

1.4

Step-by-step explanation:

1) 2.1/1.4888= 1.4111

2)1.4

Answer:

1.4

Step-by-step explanation:

2.1/1.488=1.41129032258

round to the nearest tenth

(remember 5 and above give it a shove, 4 and below let it go)

what is the percent of change from 90 to 18???

Answers

Answer:

5% decrease

Step-by-step explanation:

The percentage is 90 divided by 18 which gives you 7 so that you mulitple 7 x 18 = 179

helping my friend with some homework please help:/

Answers

Answer:

no

Step-by-step explanation:

just plug them in and see if they're true :)

first equation:

[tex]10\geq 3(6) -10[/tex]

[tex]10\geq 18-10[/tex]

[tex]10\geq 8[/tex]

its true!

second equation:

[tex]10<\frac{1}{2} (6)+7[/tex]

[tex]10<3+7[/tex]

[tex]10<10[/tex]

its not true bc theyre equal!

hope this helps!

If h(x) equals negative 7 (x minus 8 ) plus 2 find the value of h (negative 5)

Answers

Answer:

h = -7x - 11

Step-by-step explanation:

(PLS PLS pls help)Find m

Answers

Answer:

44 degree

Step-by-step explanation:

180-140=40 degree

6×14+12=96

3×14+2=44

40+44+96=180

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Answer:

do u have insta

Step-by-step explanation:

Are these correct lol?

Answers

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

yes it is

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME

Answers

Answer:

Scalene

Step-by-step explanation:

It is not right, equilateral, or isosceles.

Please help with this rectangle figure

Answers

Answer:

15.53 sq inches, 15.71 inches

Step-by-step explanation:

(3 * 4) + (1.5^2 * pi)/2 = 12 + 3.53 = 15.53 sq inches

3 + 4 + 4 + (2pi * 1.5)/2 = 15.71 inches

solve
60000000+63636733-7373 ​

Answers

Answer:

your answer is 123629360

Step-by-step explanation:

60000000+63636733-7373 =123629360

i hope this helped

have a nice day,

mark brainliest if u like butterflys

The sum of two circles is 80 pi square meters. Find the length of the radius if one of them is twice as long as the other

Answers

Answer:

Length of Radius of large circle= 8

Lenght radius of first circle= 2

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

The sum of the areas of two circles is 80π square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

What is the radius of the larger circle?

Area of a circle can be calculated by Below formula

A = πr^2............eqn(1)

Let ( X) = area of first circle

Y= the area of second circle

Rx= radius of first circle

Ry = radius of second circle

From the question, we know that

[X+ Y] = 80π .......eqn(2)

Substitute the radius formula for the area,

[π(Rx)^2 + π (Ry)^2] = 80π ......eqn(3)

But from the question, Radius of second circle is twice of the second one, then

Ry = 2Rx ..........eqn(4)

If we substitute eqn (4) into eqn(3)

[ π(Rx)^2 + π (2Rx)^2 = 80π

If factorize π out, then cancel it out

π[(Rx)^2 + π (2Rx)^2 = 80π

Then we have

(Rx)^2 + 4(Rx)^2 = 80

5(Rx)^2 = 80

(Rx)^2= 80/5

(Rx)^2= 16

(Rx)= 4

From eqn(4)

Ry = 2Rx

Ry= 2(4)

Ry= 8

Rx= 2 and Ry= 8

Hence, radius of first circle= 2

Lenght Radius of second circle= 8

please help. tap the photo to see the whole problem. thanks. ​

Answers

He didn’t multiply the equation by 1/2 in the second part so it threw his whole answer off. Hope this helps

Twice the sum of a number and -6 equals -6 times the sum of the number and 4. Let n stand for the number. Solve for n.

Answers

Answer:

n = -18/7

Step-by-step explanation:

Represent the number with n.

Then:

n - 6 = -6(n + 4)

Performing the indicated multiplication, we get:

n - 6 = -6n - 24

Combining like terms results in 7n = -18, so n = -18/7

Please help me. I have been stuck for 45 minutes

Answers

Answer:

See photo.

Step-by-step explanation:

First, you need to find an already complete row, column, or diagonal and find its sum. This is the value that every other row, column, and diagonal needs to add up to. Next, find one that has two values filled in. Add these two numbers. Subtract them from the sum. The number you get is what needs to be in open box of that row/column/diagonal. Then you'll have another with two values, and you do the same thing for that one, and continue.

Example: 0+7+2= 9 so the sum for the left one is 9. you have a column with a 7 and a 3. 7+3= 10. 9-10= -1. then look at the diagonal. you have 2 and 3. 2+3=5, 9-5=4 so 4 is that one. and so on.

HELPPPP ME ANY ONE PLEASE !!!!!

Answers

Answer:

First blank - notation

Step-by-step explanation:

Second blank - 10

solve the inequality -3x - 7 = or < 8

Answers

Step-by-step explanation:

Isolate x.

7

8

x

>

19

7

Add

7

to

7

to cancel it out because it is the lowest number here.

But you do to one side what you do to the other, so add

7

to the positive

7

on the other side. You should now have:

14

8

x

>

19

Now, subtract

14

from

14

to cancel it out and do the same to the other side

(

19

)

. Now, you should have:

8

x

>

5

Now, to isolate

x

,

divide by

8

.

But remember when you divide or multiply an inequality by a negative value, the sign changes around.

8

x

8

<

5

8

Because you divided by a negative, the sign flips:

x

<

5

8

Answer:  x [tex]\geq[/tex] -5

Step-by-step explanation:

-3x - 7 [tex]\leq[/tex] 8

add 7 to both sides

-3x [tex]\leq[/tex] 15

divide both sides by -3, you also have to flip the inequality sign because you are dividing by a negative.

x [tex]\geq[/tex] -5

PLEASE ANSWER! 20 Points

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

area of the figure= 58.3ft²

Step-by-step explanation:

area of the figure= area of trapezoid+ area of a rectangle

area of the figure= [½(a+b)*height]+ (length*breadth)

area of the figure= [½(3+14)*3]+ (11*3)

area of the figure=25.3+ 33

area of the figure= 58.3ft².

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