Step-by-step explanation:
We can observe from the table that the value of independent variable and then the values of function on that variable are given.
So,
<u>f(5) = 6</u>
As the value of function at x=5 is 6
<u>If f(x) = 4 then x = 7</u>
The value of function is 4 only on x=7 so the answer is x = 7
When the inverse is taken, the inputs become output and the outputs become inputs
The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6
Now,
Lastly
The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.
First, we can subtract the discount from the original price. Divide the discount (42%) over 100.
42/100 = 0.42
Next, we need to multiply. It's basically asking what 42% of 20 is.
0.42 × $20 = $8.40
Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.
$20 - $8.40 = $11.60
You will pay $11.60 for the CD without taxes.
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Now to add the taxes.... To do this, do the same first step we did when finding the discount price.
6/100 = 0.06
Multiply. Like I said, you can think of it as, '6% of 11.60'.
0.06 × 11.60 = $0.70
Last step is to ADD. Since taxes add more money onto the current price, we will have to add.
$11.60 + $0.70 = $12.30
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The total price of the CD will be: $12.30.
Answer:
y-4 = (-1/3)(x+1)
Step-by-step explanation:
We need to identify the equation in point slope form.
The standard equation of point slope form is:
(y-y₁) = m (x-x₁)
where m is the slope and x₁ and y₁ are the points
We are given point(4,-1) so,
x₁=4 and y₁=-1
And a perpendicular line: y =3x+5
Which is equal to y = mx+b
where m is slope so, slope m = 3
Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/m
i.e, m = -1/3
So, the equation in point slope form is:
y-(-1) = (-1/3)(x-4)
=> y+1 = (-1/3)(x-4)
Answer:
Step-by-step explanation:
The rate of change is equal to (y2-y1)/(x2-x1) where (x1,y1)=((0,150) and (x2,y2)=(5,0). Therefore the rate of change equals (0-150)/((5-0)=-30 songs/week. This is equal to the slope of the line that goes through these two points. The initial value is the y coordinate of the point when x=0 which is 150. The equation of the line is y=-30x+150, and this is the slope-intercept form (y=my+b) where m is the slope of the line and b is the y-intercept.
