One way in which to do this problem is to find the inverse function of G(x) first. Another, faster, method is to look at G(x) = 3x + 1. Find the x value for which y = 1:
1 = 3x + 1. Then x must equal 0. If (0, 1) satisfies G(x) = 3x + 1, then (1, 0) satisfies the inverse function of G(x) = 3x + 1.
Thus, the value of the inverse function with input 1 is 0.
Step 1: Replace "G(x)" with y.
Step 2: Solve the resulting equation for x.
Step 3: Replace x with y and y with x.
-1
Step 4: Replace this "y" with G (x).
Now replace "x" with "1".
Answer: B. 23.9 cm³
Step-by-step explanation:
V = AH
A (area of the triangle base): 6×3÷2=9cm²
H (height of the prism): 2.65 cm
------------------------
V = AH
V =(9) (2.65)
V = (23.85)
V= 23.85cm²
≈23.9
198 is the answer ok ok ok
We need to assign a value for x to check the possible values of y.
1st inequality: y < -0.75x
X = - 1 ; y < -0.75(-1) ; y < 0.75 possible coordinate (-1,0.75) LOCATED AT THE 2ND QUADRANT
X = 0 ; y < -0.75(0) ; y < 0 possible coordinate (0,0) ORIGIN
X = 1 ; y < -0.75(1) ; y < -0.75 possible coordinate (1,-0.75) LOCATED AT THE 4TH QUADRANT
2nd inequality: y < 3x -2
X = -1 ; y < 3(-1) – 2 ; y < -5 possible coordinate (-1,-5) LOCATED AT THE 4TH QUADRANT
X = 0 ; y < 3(0) – 2 ; y < -2 possible coordinate (0,-2) LOCATED AT THE 4TH QUADRANT
X = 1 ; y < 3(1) – 2 ; y <<span> 1 possible coordinate (1,1) LOCATED AT THE 1ST QUADRANT
The actual solution to the system lies on the 4TH QUADRANT.
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Density = mass / volume
So if we know the density and volume, make an algebraic equation of this.
4.1 = m ÷ 2.3
Multiply each side by 2.3.
9.43 = m
The mass is 9.43 grams, hope this helps!
