Answer:
the height of the triangle is 47 inches
Use this equation to solve the problem:
x - (x * .25) = 40
This equation is saying the original price times itself by 25% is 40.
x - (x * .25) = 40
Simplify.
x - .25x = 40
.75x = 40
Divide both sides by .75.
x = 53.33
The original price was $53.33
Domain: (-∞,∞)
Range: (3,∞)
x-intercepts: none
y-intercepts: (0,7)
Interval positive: (3,∞)
Interval negative: none
Interval increasing: (7,∞)
Interval decreasing: (-∞,7)
I'm not sure what the average rate of change over is though.
Answer:
f(g(-4)) = 13.
g(f(-4)) = -3.
Step-by-step explanation:
g(-4) = (-4)^2 + 3(-4) - 1
= 3.
so f(g(-4))
= f(3)
= 2(3) + 7
= 13.
f(-4) = 2(-4) + 7
= -1.
so g (f(-4))
= g(-1)
= (-1)^2 - 3 - 1
= -3.
Answer:
x=−18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12+2x=x−6
12+2x=x+−6
2x+12=x−6
Step 2: Subtract x from both sides.
2x+12−x=x−6−x
x+12=−6
Step 3: Subtract 12 from both sides.
x+12−12=−6−12
x=−18
