Write an equation for the line shown on the graph below.

A: y= 10x

B: y= -10

C: y= 50x

D: y= -50x

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

∴ m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

∴ y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = x + 1

∴ The equation of the line is y = x + 1

Answer: 5.5666667e+79

:)

Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

Answer:

that would be 3/5 minutes

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

just need to find out the difference in the distances

9 2/5 - 3 3/10 = 6 2/5 - 3/10 = 6 1/10

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Just subtract 3_3/10 from 9_2/5.

Let 3_3/10 be 33/10.

Let 9_2/5 be 47/5.

47/3 - 33/10 =

LCD is 30.

30 ÷ 3 = 10.

10 x 47 = 470

30 ÷ 10 = 3

3 x 33 = 99

We now have (470 - 99)/30.

This becomes (371/30) miles.

You can express (371/30) miles as a mixed number answer if needed.

Answer:

5( 4w -3)

Step-by-step explanation:

just pulled out a 5

Answer:

[tex]\huge\boxed{\sf 5(4w-3)}[/tex]

Step-by-step explanation:

[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Jessica is currently 3 years old and her father is 27 years old.

Step-by-step explanation:

System of Equations

Let's call:

x = Jessica's age

y = Jessica's father's age.

There are two conditions:

1: Jessica's father is 24 years older than her or, equivalently:

y = x + 24

2: Three years from now, he will have five times her age.

Three years from now, Jessica will have x+3 years, and her father will have y+3 years, thus:

y + 3 = 5( x + 3 )

Substituting the first condition into the second:

x + 24 + 3 = 5( x + 3 )

Operating:

x + 27 = 5x + 15

Subtracting x and 15:

27 - 15 = 5x - x

12 = 4x

Solving:

x = 12 / 4 = 3

x = 3

y = 3 + 24 = 27

y = 27

Jessica is currently 3 years old and her father is 27 years old.

Answer:

3.65

Step-by-step explanation:

this is the same as saying

50%of 7.3

which is 3.65

Answer: C -when the results of 100 trials were used in calculating the experiment probability

Step-by-step explanation:

Took the assessment right now

Answer:

Step-by-step explanation:

Answer:

Exact form: 17/165

Decimal form: 0.103

Step-by-step explanation:

hope this helps :)

Answer:

0.1

Step-by-step explanation:

(9+8)/(88+77)

(17)/(165)

17/165

0.1030303030

0.10

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

Answer:

105m²

Step-by-step explanation:

15+6=21

21÷2=10.5

10.5x10=105

Answer:

720

Step-by-step explanation:

16 times 45

Answer:

sorry but can you put a picture or a question? thanks    :)

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

dddd

Answer:

y = 1/3x -4

Step-by-step explanation:

The y intercept is -4 as you can see in the graph. To find the slope look at the graph and find where it perfectly intercepts. It goes up one block and to the right three. So the slope is 1/3 . Since the line is going up to the top right it’s a positive slope.

Answer/Step-by-step explanation:

Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.

Answer:

the answer is on the picture

Step-by-step explanation:

a = 1 and b = [tex]\frac{1}{2}p\\[/tex]

(1-  [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)

Answer:

22) 7d+ 4d-23y

=11d -23y

25) =n-6t

Answer:

The graph would be similar to a Sin or Cos graph with a vertical shift. As the music gets louder the graph will go up and as the music and crowd become quieter, the graph will go down. Going up and down until the end of the concert where it will be 0.

Step-by-step explanation:

This is because the concert music would be loud, causing the sound on the graph to have a steady line.

Hope this helped! :)

Answer:

1.y=3x

2.y=-3x+4

3.y=1.5x-7

4.y=7

5.y=-1.5x-4

Step-by-step explanation:

1.m=3,b=0

2.m=-3,b=4

3.m=1.5,b=7

4.m=0,b=7

5.m=-1.5,b-4

hope it helps po

Answer:

see below and attached

Step-by-step explanation:

m = 3

b = 0

m = -3

b = 4

m = 1.5

b = 7

m = 0

b = 7

m = -1.5

b = -4

Answer:

  x<7/12

Step-by-step explanation:

     1/4+x<5/6

1/4+x-1/4 < 5/6-1/4

             x<10/12-3/12

            x<7/12

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

Answer:

519

Step-by-step explanation:

We know the admission for adults is $22, and the kids ticket is 5 less.

22 - 5 = 17

now we know the kids ticket is $17

12 adult tickets - 22 x 12 = 264

15 children - 15 x 17 = 255

264 + 255 = 519

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

8x + 2 + 70 + 60 = 180

Step 2: Solve for x

And we have our final answer!

Answer:

A.True

B.False

C.False

D.True

E.True

F.False

Step-by-step explanation:

A. It's true because 4/4 is 1

B. It's false because 2×4 is 8 not -8

C. x exponent 2, 4 exponent 2 is 16 not -16

D. 4×(-3) is -12 so it's true

E. ×+×+×, 4+4+4 is 12 so again it's true

F. ×+4, 4+4=8 not -8

I think the answers are this!

Answer:

Function 1 is linear

Step-by-step explanation:

A linear is a straight line on the graph.

Answer:

Why do you have two equal signs in this question?

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property