Simple...
You have: The surf instructor has an initial fee of $12 anything after that is $8 per hour...
Using y=mx+b (Where m is the slope and b is the y-intercept)
y=8x+12
As we can see the y-intercept is located at (0,12)
If we wanted to actually see the graph then plug in some points for your graph-->>>
y=8(1)+12 (x=1)
y=8+12
y=20
(1,20)
y=8(2)+12 (x=2)
y=16+12
y=28
(2,28)
y=8(3)+12 (x=3)
y=24+12
y=36
(3,36)
So on and so forth....
Thus, your answer.
Answer:
Step-by-step explanation:
calculate x for this equation
f(x) = -5 : -4x +2 = - 5 so : -4x =-7 x = 7/4
f(x) = 2 : -4x +2 = 2 so : -4x =0 x = 0
f(x) =6 : -4x +2 = 6 so : -4x =4 x = -1
f(x) = 18 : -4x +2 = 18 so : -4x =16 x = - 4
the domain is : D = {7/4, 0, -1, -4}
Answer:
a) $2248.75
Step-by-step explanation:
<em>Susan pays $0.3 per $100</em>
<em>For $483000, she pays $1449 insurance annually</em> : Calculation shown below
483000/100 x 0.3 = $1449
<em>Monthly instalments of the insurance premium for 12 months :</em>
annual insurance premium/ 12 months
1449/12 = $120.75
Monthly mortgage payments = $2128
Monthly total payments = monthly mortgage payments + monthly insurance premium instalment.
= 1449 + 120.75
= $2248.75
!!
For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:
L = √100 * x = 10x
W = 1/2*y - 3/2*x
Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.
125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
<em>y = 25/x + 3x</em>
Answer:
A = 2
Step-by-step explanation:
When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.
Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.
We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.
Testing out this works, we get:
6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)
We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!
I hope this helps! :)
