Answer: (6,7)
Step-by-step explanation:
Answer:
f(x) = 5x + 350
Step-by-step explanation:
Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.
The 2 points are (100, 850) and (500, 2850)
Then, use rise over run to find the slope:
(y2 - y1) / (x2 - x1)
(2850 - 850) / (500 - 100)
2000 / 400
= 5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
850 = 5(100) + b
850 = 500 + b
350 = b
Plug in the slope and y intercept into y = mx + b to get the equation:
y = 5x + 350
Put it into function form:
f(x) = 5x + 350 is the cost function
Multiply the values of a and c together;
9*30= 270 <— find prime factors of this
270= 3*3*3*5*2
Now find a way to add these factors in different ways to give 33 (b value)
We can try (3*3*2)+(3*5)=?
18+15=33
Now that you know the numbers, break down the b value.
9x^2+18x+15x+30
9x(x+2)+15(x+2) <— make sure the brackets are the same
(9x+15)(x+2) <— check if this expands to the initial answer
Hope I helped :)
9514 1404 393
Answer:
5x +y = 20
Step-by-step explanation:
The equation of the parallel line will have the same x- and y-coefficients. The constant will be adjusted to make the equation true at the given point.
5x +y = 5(3) +(5) = 20
The parallel line is ...
5x +y = 20
Answer:
6n−7n−4+n+10
=6n+−7n+−4+n+10
Combine Like Terms:
=6n+−7n+−4+n+10
=(6n+−7n+n)+(−4+10)
=6
Answer:
=6
Step-by-step explanation: