Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
Answer:
A = 28.3
Step-by-step explanation:
R = d/2
R = 6/2
R = 3
A = πr^[2]
A = (3.14) x (3^[2])
A = 3.14 x 9
A = 28.26
Rounded to the nearest tenth is 28.3
Answer:
what questions? I dont see any
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
Answer:
x= -8
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(3)=−6
Step 1: Simplify both sides of the equation.
(x+6)(3)=−6
(x)(3)+(6)(3)=−6(Distribute)
3x+18=−6
Step 2: Subtract 18 from both sides.
3x+18−18=−6−18
3x=−24
Step 3: Divide both sides by 3.
3x
3
=
−24
3
x=−8
