A) Isolate y in both inequalities
1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3
B) Draw the lines for the following equalities:
1) y = 4 - x
2) y = 2x - 3
C) Shade the regions of solutions
1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3
The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3
Answer:
The answer to your question is:
Step-by-step explanation:
x² + 3x - 5
x² + 3x + (3/2)² = 5 + (3/2)²
(x + 3/2)² = 5 + 9/4
(x + 3/2)² = (20 + 9) /4
(x + 3/2)² = 29/4
x + 3/2 = ±√29 / 2
x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2
x1 = 1.19 x2 = -4.19
Kayla wrote an equation.
William wrote an inequality.
They both have solutions.
Kayla's solution is x=4 .
William's solution is x > -2.5 .
Brandon and Alice wrote expressions.
Those are just numbers, that depend on the value of 'x'.
Answer:
multiply
Step-by-step explanation:
X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
