Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x is 0)
<u>1) Plug in the slope (</u><u><em>m</em></u><u>)</u>
We're given that the slope is 
. In , replace <em>m</em> with :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
We're given the point (-9,4). Plug this point into the equation as 
and solve for <em>b</em>:
Subtract 
from both sides to isolate <em>b</em>:
Therefore, the y-intercept is . Plug this back into as <em>b</em>:
I hope this helps!
Answer:
Karl could have saved $2.50
Step-by-step explanation:
Cost of folders without the sale: 2.5*5 = $12.50
Cost of folders with the sale: 0.8*2.5 = $2 per folder * 5 folders = $10.00
Difference between prices: 12.5-10 = $2.50
Answer:
(x + 2 < 5) (x - 7 > -6)=
1<x<3
Step-by-step explanation:
The answer is <span>b.3x + 15 = 55 - x
</span>
x - Jill's present age
y - dad's present age
<span>In 5 years, Dad will be three times as old as his daughter Jill will be then:
y + 5 = 3(x + 5)
</span><span>The sum of their present ages is 50:
x + y = 50
We have the system of two equations now:
</span>y + 5 = 3(x + 5)
x + y = 50
Let's rearrange the second equation:
If: x + y = 50
Then: y = 50 - x
Now, substitute y from the second equation (y = 50 - x) into the first one:
y + 5 = 3(x + 5)
50 - x + 5 = 3(x + 5)
50 + 5 - x = 3*x + 3*5
55 - x = 3x + 15
Rearrange it a bit:
3x + 15 = 55 - x
Therefore, the correct choice is b.
