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1 year ago

Can you convert the stander linear equation 5x-3y=15 into slope intercept form?

Mathematics

2 answers:

liraira [26]1 year ago

5 0

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

DerKrebs [107]1 year ago

5 0

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

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The second of two number is 5 times first. Their sum is 42 . Find both numbers

Harman [31]

Hey there!

To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x).

Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42

Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42

Divide both sides by 6 to solve for x:
6x/6=42/6
x=7

Because x represents the first number, your first number would be 7.

Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35

Your second number is 35.

To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42

Therefore, your final answer would be that the first number is 7, and the second number is 35.

Hope this helps, and have a marvelous day! :)

7 0

2 years ago

Read 2 more answers

The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to becom

Maksim231197 [3]

Answer:

NONE OF THE OPTIONS GIVEN

Step-by-step explanation:

F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape

I believe it should be f(x) = 2(x - 3) + 1

if g(x) = x

here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.

The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.

5 0

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Day Sunday Monday Tuesd

adell [148]

Answer:

$4\dfrac{2}{7}$

Step-by-step explanation:

How to calculate the mean absolute deviation:

Step 1: Calculate the mean.

$\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47$

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

$\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}$

Step 3: Add those deviations together.

$\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30$

Step 4: Divide the sum by the number of data points.

$\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}$

8 0

2 years ago

A fitness club offers two membership plans.

iogann1982 [59]

A i think hope this help

4 0

2 years ago

Four friends went to the movies together. Each ticket cost $8, and then each person also bought a soda for $3.75. Two friends ea

photoshop1234 [79]

Answer:

$37.00

Step-by-step explanation:

Tickets:

4 friends, each ticket costs $8

4*8=32

$32

Sodas:

4 friends, each soda costs $3.75

4*3.75=15

$15

Total:

tickets + sodas

32+15=47

$47

Coupons:

2 friends each had a coupon for $5 off

2*5=10

$10 discount

Grand Total:

total-discount

47-10=37

$37.00

7 0

2 years ago