As points, x-intercepts take the form
, so to find the intercepts we can set
and solve for
.
From the first equation alone, we already know that
is a solution, which means one intercept is
.
The second equation gives
so that the second intercept occurs at
.
So if
and
, we have
, giving C as the answer.
Answer:
Step-by-step explanation:
2 / 3 ( 4x + 9 )
Distributive property
2 / 12x + 27
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
Given parameters:
Cost per pound of Arabica coffee = $28 per pound
Cost of Robusta coffee = $8.75
Given number of pounds of Robusta Coffee = 3 pounds
Total cost of blend per pound = $15.50
Unknown:
Number of pounds of Arabica coffee = ?
Solution:
Let the number of pounds of Arabica coffee = A;
We have to interpret this problem algebraically and solve;
28A + 8.75(3) = 15.5(A + 3)
Now solve the expression above for A;
28A + 26.25 = 15.5A + 46.5
28A - 15.5A = 46.5 - 26.25
12.5A = 20.25
A = 1.62
Number of pounds of Arabica Coffee is 1.62 pound
