Substitute y = 4x - 1 in the first equation:-
4x - 1 = 8x - 9
-4x = -8
x = 2
Now substitute x = 2 in the second equation:-
y = 4(2) - 1 = 7
Solution is (2, 7). (That is y = 7 and x = 2)
Part B
The graphs will intersect at the point (2, 7)
Answer:
11 pounds of Guatemala Antigua coffee
9 pounds of Arabian Mocha coffee
Step-by-step explanation:
Guatemala Antigua coffee - $10.20 per pound
Arabian Mocha coffee - $13.00 per pound
First find the total profit from the 20 pounds of the new coffee blend.
20 × $11.46 = $229.20
Now set up an equation.
$10.20g + $13.00a = $229.20
Use guess and check to find the number of pounds of each type of coffee.
$10.20g + $13.00a = $229.20
$10.20(11) + $13.00(9) = $229.20
$112.20 + $117 = $229.20
$229.20 = $229.20
It checks out. So, they should mix 11 pounds of Guatemala Antigua coffee and 9 pounds of Arabian Mocha coffee.
Hope that helps.
Answer:
9
Step-by-step explanation:
f(x) = x²
f(-3) = (-3)²
f(-3) = 9