Answer
78.75
Step-by-step explanation:
75.00 × 0.05
= 78.75
4x+5x = 90
9x = 90
x = 10
10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
y = 12
answer
<span>d) x = 10, y = 12</span>
Answer:
![-4x^3+6x^2-x](https://tex.z-dn.net/?f=-4x%5E3%2B6x%5E2-x)
Step-by-step explanation:
1. Distribute the X across the equation: ![-x(4x^2)=-4x^3\\](https://tex.z-dn.net/?f=-x%284x%5E2%29%3D-4x%5E3%5C%5C)
2.![-x(-6x)=6x^2](https://tex.z-dn.net/?f=-x%28-6x%29%3D6x%5E2)
3.![-x(1)=-x](https://tex.z-dn.net/?f=-x%281%29%3D-x)
3.![-4x^3+6x^2-x](https://tex.z-dn.net/?f=-4x%5E3%2B6x%5E2-x)
Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42