Given f(x) = –7x + 9 and h(x) = –5(–7x + 9), what are the slope and y-intercept of the graph of function h?
2 answers:
Answer:
h(x): Slope(m) = 35, Y-intercept(c) = -45
f(x): Slope(m) = -7, Y-intercept(c) = 9
Step-by-step explanation:
We are given the functions in the question:
We have to find the slope and y-intercept of the graph of function h(x).
First we simplify h(x)
Comparing the equation to the point slope form of the straight line, we have,
where m is he slope of line and c is the y-intercept that is the value of y when x is zero.
Comparing, we get,
Slope, m = 35
Y-intercept, c = -45
For function f(x), we have
Slope, m = -7
Intercept, c = 9
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the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ → (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ → (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in
we get ;
⇒
⇒
⇒
⇒
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .