Answer:
$12.09
Step-by-step explanation:
formula; Y= kx
where; y = $24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the data given
Y = kx
$24.18 = k2
Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.
<u>24.18 =k2</u>
2
k = $ 12.09 is the constant of proportionality cost in dlooars per book
Answer: He has 7 books.
Step-by-step explanation:
9 - 2 = 7
Answer:
A =First term of the pattern = 11
To find the first five terms we have to use the rule which is
Add 10 to first term and then subtract 5 from it.Which is equivalent to
= A +10 -5
1. Second Term = 11 + 10 -5
= 21 - 5
=16
→Third term = 16 +10-5
= 26 - 5
= 21
→Fourth term : 21 + 10 - 5
= 31 -5
= 26
→Fifth term : 26 +10 -5
= 36- 5
= 31
→Sixth term:
=31 + 10- 5
= 41 -5
= 36
So, the first five term apart from 11 is 16, 21,26,31,36 which is an Airthmetic progression.
Answer:
11
Step-by-step explanation:
hope this helps loves x
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7