Answer:
Step-by-step explanation:
y - x = -5
y = x-5
y = 2x² - 3x - 5
x-5 = 2x² - 3x - 5
2x² - 4x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2, 0
(x,y) = (2,-3), (0,-5)
Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
Three and twenty-nine ten-thousandths
Answer: 36.67 grams of water is added.
Step-by-step explanation:
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
so, it becomes,
Hence, 36.67 grams of water is added.
The axis of symmetry is 2 and the vertex is (2, 4).
