The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?

Answer:9

Step-by-step explanation:

I did the math

Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

Solution:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Age of Able's sister = (x-4)

Able's older brother is twice as old as he is.

Age of Able's older brother = 2x

The combined age of all three siblings is 32.

Add 4 on both sides.

Divide both sides by 4.

The age of Able is 9 years. So, age of his younger sister is

Therefore, the age of Able's sister is 5 years.

Answer:

ok the number you have you mulitiply it then you add the number you multipled then you will get you answer

Step-by-step explanation:

hope this works

Answer:

g = 1

Step-by-step explanation:

Answer:

a=4 m/s^2

Step-by-step explanation:

F=ma

a=F/m

a=800/200

a=4 m/s^2

Answer:

−3n−26

Step-by-step explanation:

−24−3−3n+1

=−24+−3+−3n+1

Combine Like Terms:

=−24+−3+−3n+1

=(−3n)+(−24+−3+1)

=−3n+(−26)

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides

Answer:

y = 4/p−x/2p

(4 over p is a fraction as well as X over 2p)

Answer: p=-x+8/2y

Step-by-step explanation: 1

2

x+yp=4

Step 1: Add (-1)/2x to both sides.

py+

1

2

x+

−1

2

x=4+

−1

2

x

py=

−1

2

x+4

Step 2: Divide both sides by y.

py

y

=

−1

2

x+4

y

p=

−x+8

2y

Answer:

p=

−x+8

2y

Answer:

4x +8= 20

2x+3= 9

Step-by-step explanation:

4 times 3 equals 12 and 12+8 = 20

2 times 3 is 6 and 6+3=9

Answer:

4x+8=20

2x+3=9

Step-by-step explanation:

I used substitution.

I substituted x with 3 so

4(3)+8=20

same with the other one,

2(3)+3=9

Hope this helped!

Answer:

75 cents (.75)

Step-by-step explanation:

It's easier to figure this out if you turn the fractions into decimals.

4 3/4=4.75

5 1/2=5.5

Now, subtract 5.5-4.75.

5.5-4.75=.75

Have an amazing day!! Hope this helps you :3

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

Answer:  (15) see below    (16) 284    (17) option 1     (18) option 3    

               (19) see below    (20) 33     (21) L = 50, w = 10

Step-by-step explanation:

15)  7xy + 3x + 5

      ↓       ↓      ↓

      ↓       ↓       5 is a term with no variable so is a constant

      ↓       3x is a term with a coefficient of 3

      7xy is a term with a coefficient of 7

         Constant         Coefficient        Term

7                                      X

3x                                                           X

5            X                                              X

16)  12a²  - 3 |b|  +  2a       ; a = -5,  b = -2

    12(-5)² - 3 |-2| + 2(-5)

 = 12(25)  - 3(2)  - 10

 = 300    - 6      - 10

 =     294         - 10

 = 284

17) 4(k + 5) = -2(9k - 4)

    4k + 20 = -18k + 8              Distributed 4 and -2

   22k + 20 =           8               Added 18k to both sides

   22k         =  -12                      Subtracted 20 from both sides    

              k = -12/22                  Divided 21 from both sides

              k = -6/11                    Simplified (GCF = 2)

18) V = π r²h

    V/(π r²) = h                Divided π r² from both sides

19) v = s² + (1/2)sh

     v - s² = (1/2)sh             Subtracted s² from both sides

   2(v - s²) = sh                 Multiplied both sides by 2

   2(v - s²)/s = h                Divided s from both sides

                            1         2       3

subtract s²          X

divide by s                                  X

multiply by 2                   X

20) F = (9/5)C + 32     ; F = 91

     91 = (9/5)C + 32

     59 = (9/5)C                          Subtracted 32 from both sides

    295 = 9C                              Multiplied both sides by 5

    32.8 = C                                Divided 9 from both sides

       33 = C                              Rounded to the nearest whole number

21) Perimeter (P) = 2Length (L) + 2width (w)

Given: P = 120,    L = 5w

               P = 2L + 2w

           120 = 2(5w) + 2w

           120 = 10w + 2w

           120 = 12w

            10 = w

                                L = 5w

                                   = 5(10)

                                    = 50

Answer:

160 tiles.

Step-by-step explanation:

First let's make an equation.

Each tile costs $4, let's make t=number of tiles.

+$15.82, and the total cost being $655.82

So ideally our equation would look like

4t+15.82=655.82

Now solve.

First, subtract 15.82 on both sides.

4t=640

Second, divide 4 on both sides to make the variable t by itself.

t=160

So, the contractor purchased 160 tiles.

Answer:

Step-by-step explanation:

top right

a30/5=6x4= 24

b The whole number is itself/1 so 45 becomes 45/1. 45/1x2/9= 90/9 (10/1 or 10 simplified)

c The whole number is again simply itself over 1 when translated to a fraction so24 becomes 24/1. 24/1x1/6 = 24/6 (4/1 or 4 simplified)

Top left

a 8/24 simplifies to 1/3

b 16/24 simplifies to 2/3

bottom right

a 2/10 simplifies to 1/5

b 9/24simplifies to 3/8

bottom right

a 15/20 simplifies to 3/4

b 8/12 simplifies to 2/3

I hope this helps have a nice day:)

Answer:

27

Step-by-step explanation:

Let the no. of points scored in third game x

given that

A volleyball team scored 14 more points in its first game than in its third game

Then

no. of points scored in First game = x + 14

no. of points scored in Second game = 28

Total no of points scored in three games = x + x + 14 + 28 = 2x + 42

given that The total number of points scored was less than 80

thus

2x + 42 < 80

2x < 80 -42

2x < 28

x < 14

now we know that x is less than

and since x is point scored it will be integer as point cannot be in fraction

and greatest integer less than 14 will be 13

Thus, greatest point scored in third game will be 13

similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27

The answer is 3x+15

You multiply the x and 5 by 3 to get 3x and 15

Answer:

The region of the [tex]|x|<5[/tex] is the common area between -5 and 5.

But there is no common area for the solution of [tex]|x|>5[/tex].

Step-by-step explanation:

Given two modulus functions:

[tex]1.\ |x|<5\\2.\ |x|>5[/tex]

Let us have a look at the definition of modulus function first:

[tex]|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.[/tex]

Now, solving the above given modulus functions one by one using the definition of modulus function.

Solution 1 :

[tex]\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the green color shows the solution for this equation.

Solution 2 :

[tex]\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the blue color shows the solution for this equation.

We can clearly observe that the region of the first equation is the common area between -5 and 5.

But there is no common area for the solution of the second equation.

Therefore, solution of [tex]|x|<5[/tex] has intersection and

solution of [tex]|x|>5[/tex] has union.

Answer:

The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.

Step-by-step explanation:

Answer:

[tex]\sqrt{.06}[/tex]

Used a calculator to find all the square roots, .06's is 0.24, which is the closest out of all of the options to the graph.

match the correct answer to each mathematical statement.

1. the reciprocal of 3/8

answer: 8/3

2. the reciprocal of 2 2/3

answer: 3/8

3. the product of -3/8 and 2 2/3

answer: -1

4. 3/8 divided by -2 2/3

answer: -9/64

5. the difference between -2 2/3 and -3/8

answer: -2 7/24

6. the sum of -3/8 and 2 2/3

answer: 2 7/24

hope this helps :)

-audrey <3

Answer:

Step 3

Step-by-step explanation:

I did it on edg and got it right

also can I have some brainiest

Answer:

Step 3

Step-by-step explanation:

EDG2020

HOPE THIS HELPED!!! :)

Answer:

-3, -1, & 5

Step-by-step explanation:

The evaluation of of the expression -(2⁻⁶)(2³) is - 1 / 8(-1 over 8)

The expression can be evaluated as follows:

-(2⁻⁶)(2³)

The expression can be evaluated using the law of indices,

[tex](x^{a} )^{b} = x^{ab}[/tex] and [tex](x^{-b} )=\frac{1}{x^{b} }[/tex]

Therefore,

-(2⁻⁶)(2³)

2⁻⁶ = 1 / 2⁶ = 1 / 64

2³ = 2 × 2 × 2 = 8

Hence,

-(1 / 64)(8) = -  8 / 64 = - 1 / 8

learn more on evaluation and expression here: https://brainly.com/question/25664356

#SPJ1

Answer:

b is -8

Step-by-step explanation:

Answer:

b=-8

Step-by-step explanation:

14+b=6

b=6-14

b=-8

Answer:

(h, k). (2,0)

Answer:

5/6

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Answer:

5/6

Step-by-step explanation:

Keep the first fraction the same, then flip the second fraction, then multiply

2/3 * 5/4

10/12

simplify: divide numerator and denominator by 2

5/6

Answer:graph B

Step-by-step explanation:

Answer:

GRAPH B

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

(20 books / 2) * 3 = 30 minutes

Answer:

It's false their is no variable to solve it with i think you forgot to put the variable

Step-by-step explanation:

Answer:

A) 0

B) 13

Step-by-step explanation:

A) 6*1/3=2, 2-2=0. 6(1/3)-2=0

B) 6*2.5=15, 15-2=13. 6(2.5)-2=13