Answer:
y = 1.5sin[(pi/4)x] - 3
Step-by-step explanation:
Mid line: y = -3
Amplitude: -1.5 - (-3) = 1.5
From mean line to max is ¼ of a cycle:
Period = 4 × 2 = 8
No. of cycles in 2pi:
2pi/8 = pi/4
y = 1.5sin[(pi/4)x] - 3
Answer:
see below
Step-by-step explanation:
2x^2 +2x > -4
Add 4 to each side
2x^2 +2x+4 > -4+4
2x^2 +2x+4 > 0
Factor
2(x^2 +x+2) >0
Divide by 2
2/2(x^2 +x+2) >0/2
(x^2 +x+2) >0
Complete the square
Take the x coefficient divide by 2 and square it
(1/2) then square it = 1/4
(x^2 + x +1/4) +7/4 >0
(x+1/2)^2 +7/4 >0
Subtract 7/4 from each side
(x+1/2)^2 +7/4 -7/4>0-7/4
(x+1/2)^2 >-7/4
This is always true since a quantity squared is greater than a negative quantity
x can be any number
25,908 bricks must be ordered
Answer:
rhombus
Step-by-step explanation:
The cut described intersects each of four faces on an altitude line for that face. Since all edges are the same length, all altitude lines are the same length. The resulting figure has four same-length sides, so is a <em>rhombus</em>.
The function shown on the graph is
Y = 10x - 6
Answer: A
