Answer:
A. maximum value at 30
Step-by-step explanation:
−x² + 10x + 5
First, factor out the leading coefficient from the first two terms:
-1 (x² − 10x) + 5
Take half of the next coefficient, square it, then add and subtract the result.
(-10/2)² = 25
-1 (x² − 10x + 25 − 25) + 5
-1 (x² − 10x + 25) + 25 + 5
-1 (x² − 10x + 25) + 30
Factor the perfect square.
-1 (x − 5)² + 30
The equation is now in vertex form. This is a downwards parabola with a vertex at (5, 30). Since the parabola points down, the vertex is a maximum.
Answer:
x=4 y=9
Step-by-step explanation:
add the equations
8x=32
x=4
20-2y=2
2y=18
y=9
Answer:
y=7
Step-by-step explanation:
x = -1 x is one , replace x with negative one in the equation. using the order of operation PEMDAS.
Remember this -1³= -1×-1×-1=-1
-1²=-1×-1=1.
y =8x³+12x²-6x-3
y= 8(-1)³+12(-1)²-6(-1)-3
<h3>Exponents</h3>
y= 8(-1)+12(1)-6(-1)-3
<h3>Multiplication</h3>
y= -8+12+6-3
<h3>Addition</h3>
y= 10-3
<h3>Subtraction</h3>
y= 7
<h3>Therefore y= 7</h3>
Answer:
On the 7th week, both Sam and Jill will have the same amount (360 dollars)
Step-by-step explanation:
Answer:
angle B'CA'= angle BCA..... (common angle)
angle B'A'C = angle BAC.....(corresponding angels)
therefore,
ΔCB'A' ~ ΔCBA. ......(by A-A test of similarity)
therefore,
B'A'/ BA. = CA'/ CA....(congruent sides of congruent triangles)
now, B'A' = 5, CA'= 6 , CA = 6 + 3 = 9
5 / BA. = 6 / 9
therefore, 5 / BA. = 2 / 3
Answer : AB = 7.5 units
