Answer:
x = 5/2 = 2.5
Step-by-step explanation:
Given
f(x) = 3x-7
g(x) = x+2
g^(-1)(x) = f(x)
First find g^(-1)(x) = h(x)
x=h(x)+2
h(x) = x -2
h(x) = x - 2 = f(x) = 3x-7
solve for x
x-2 = 3x -7
-2 + 7 = 3x - x
2x = 5
x = 5/2
Answer:
36ft
Step-by-step explanation:
There will be 16 pieces made from the rod
4/5 ÷ 1/20
Reciprocate 1/20
4/5 ÷ 20/1
Multiply numerators and denominators of both fractions:
4 x 20 = 80
5 x 1 = 5
80/5 sinplified is 16.
Hope this helps!
ANSWER
EXPLANATION
The graph has a solid boundary line.
The region above the boundary line is shaded
Therefore the inequality sign involved is '≥'
The boundary line has equation
We can now conclude that, the inequality graphed above is
slope intercept form - (y = mx + b)
slope (m) is (3/2) So, y = 3/2x + b
To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b
Isolate x on one side by finding the value of 3/2 × 2 which is 3.
Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4
Now the slope intercept form is (y = 3/2x + 4)
