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dimaraw [331]
3 years ago
5

Write an equation in slope-intercept form for the line with slope 1/4 and y intercept -4. Then graph the line​

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

b is the y intercept ( crossing y axis value)....     by inspection   b = -4

m is the slope of the line,  Slope = m = 1/4      note: the slope is positive

the slope equals the 'rise' over 'run'  

if the line moves up the slope is positive, if the line moves down the slope is negative

the rise is how many y units does the line go 'up' or 'down'

the run is how many x units does the line go 'left' or 'right'

the rise = 1  Y unit

the run = 4 X units

y = mx + b    m =1/4  b = -4

y = (1/4)x + (-4)

y = (1/4)x - 4

graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for  every FOUR X units (the run)

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Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the
mylen [45]

Answer:

up to $338.18

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.

Here, A = $300(1 + 0.04/12)^(12*3), or

          A = $300(1.0033333)^*36, or

          A = $300(1.127) = $338.18

Nina will be able to spend up to $338.18 on a new bike.

5 0
3 years ago
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Use elimination to solve the system of equations. Show your work 5×-3y=6,2×+5y=-10.
Fofino [41]

Answer:

5(5x-3y=6)

3(2x+5y=-10)

25x-15y=30

6x+15y=-30

31x= 0

x = 0

5(0)-3y=6

-3y=6

y= -2

(0,-2)

6 0
3 years ago
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What is <br> -4р - 2r - 15р
nordsb [41]

Answer:

THE ANSWER IS -21

Step-by-step explanation: BECAUSE IF YOU TAKE -4P -15P=-19P

-19P-2R=-21

8 0
3 years ago
I JUST WANNA PASS MY SOPHOMORE YEAR BUT I SUCK AT MATH!!!!! PLEASE HELP!!!!!!
Natasha2012 [34]

Mr. Sanchez's class: 1.65p

Mr. Kelly's class: 1.36j

where p = fruit pies and j = fruit juice

____________________________________________________________

(a) Creating a system of equations

p + j = 79

1.65p + 1.36j = 118.17

are your system of equations

____________________________________________________________

(a) Solving the system of equations for p and j

Solve for p in the first equation. Subtract j from both sides.

p = 79 - j

____________________________________________________________

Plug p into the second equation.

1.65(79 - j) + 1.36j = 118.17

Distribute 1.65 inside the parentheses.

130.35 - 1.65j + 1.36j = 118.17

Combine like terms.

130.35 - 0.29j = 118.17

Subtract 130.35 from both sides.

-0.29j = -12.18

Divide both sides by -0.29.

j = 42

____________________________________________________________

Plug j into the first equation.

p + (42) = 79

Subtract 42 from both sides.

p = 37

____________________________________________________________

(b) To find out how much each class earned

Now plug in p and j into Mr. Sanchez's class and Mr. Kelly's class equations (at the top).

Mr. Sanchez's class: 1.65(37) = 61.05

Mr. Kelly's class: 1.36(42) = 57.12

____________________________________________________________

(c) To see how much more Mr. S's class earned

Subtract 57.12 from 61.05.

61.05 - 57.12 = 3.93

____________________________________________________________

(a)

p + j = 79

1.65p + 1.36j = 118.17

(b)

Mr. Sanchez's class earned more money (61.05 > 57.12).

(c)

Mr. Sanchez's class earned $3.93 more than Mr. Kelly's class.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=18%20-%204%20%20%5Cdiv%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%2010" id="TexFormula1" title="18 -
Vinvika [58]
The answer is 8
Order of operations:(Please Excuse My Dear Aunt Sally)
Parentheses
Exponents
Multiplication
Division
Add
Subtract
When it comes down to multiplication and division you do whichever comes first , left to right same with add and subtract so..
Step1: 2 squared = 4
Step2: 4/4=1
Step3: 1x10=10
18-10=8 . Final answer is 8
7 0
3 years ago
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