Answer:
x = 1.5
y = 0.5
Step-by-step explanation:
y = −x + 2
y = 3x − 4
so
-x + 2 = 3x -4
2 + 4 = 3x + x
4x = 6
x = 1.5
then y = -x + 2 = -1.5 + 2 = 0.5
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
Answer:
15) <u><em>y= 1/2 + 3.75</em></u>
16) <u><em>y = x</em></u>
Step-by-step explanation:
For #15)
<em>Equation used: y=mx+b ; Slope: y₂ - y₁ / x₂ - x₁</em>
1) First, you need to pick any 2 points on the graph. I'll use (6,3) and (8,4).
2.1) Then you'll use the <em>slope </em>equation to find the slope (m) of your equation.
(y) ~ 4 - 3 = 1
(x) ~ 8 - 6 = 2
Slope= 1/2
3) So from the look of the answers, the y here is 3.75 so you can trust that.
4) The final equation is <u><em>y= 1/2 + 3.75</em></u>
<u><em /></u>
For #16)
Use the same steps as #15. You can still choose whatever points/plots you want. Ima use (5,4) and (6,5).
(y) ~ 4 - 3 = 1
(x) ~ 6 - 5 = 1
slope= 1 or x
Answer: y=x
<em>Your welcome for the answer! <3</em>
Answer:
Third option.
Step-by-step explanation:
In the picture attached, the question is shown. There we can see that as x gets bigger (x → ∞), f(x) gets smaller (f(x) → -∞ ). On the other hand, as x gets smaller (x → -∞), f(x) gets bigger (f(x) → ∞ ).
Answer:
or 
Step-by-step explanation:
The question is
Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)
step 1
Find the slope of the given line
we have

isolate the variable y


The slope of the given line is m=-5/8
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the parallel line to given line is m=-5/8
step 3
Find the equation of the line into slope intercept form
The equation of the line into slope intercept form is equal to

we have
m=-5/8 and point (4,5)
substitute and solve for b



substitute

or
