Hi there!
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
Answer:
42
Step-by-step explanation:
24% of 175 = 0.24 * 175 = 42
Answer:
a.
Step-by-step explanation:
d.) This is a horisontal line [ONLY a y-intercept].
c.) This is a vertical line [ONLY an x-intercept].
b.) This line has a<em> </em>negative<em> </em><em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] WITH a y-intercept, and although this is a slanted line, it slants DOWN from left to right, so this is the incorrect slant.
I am joyous to assist you anytime.
Answer:
-2
Step-by-step explanation: