Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer:
<h2>The circumference is multipled by 4.</h2>
Step-by-step explanation:
The formula of an area of a circle"
The formula of a circumference of a circle:
The area multipled by 16:
The radius has increased fourfold, therefore:
The circumference is multipled by 4.
You can calculate the area and check the circumference:
Calculate the radius:
<em>divide both sides by π</em>
Calculate the circumference of both circles:
Answer:
Denote B(x, y), we have:
-10 + x = 2 x (-16) => x = -22
8 + y = 2 x 6 => y = 4
=> B(-22, 4)
Hope this helps!
:)
Answer:
B $10.45
Step-by-step explanation:
Fist you find how much the 2 boxes of cracker cost
$3.50 * 2 = $7
Then subtract the amount of 2 crackers by the $0.80 coupon
$7 - $0.80 = $6.20
Then add that amount to the cost of a jar of peanut butter
$6.20 + $4.85 = $11.05
Then add that about for with the amount of a package of juice boxes
$11.05 + $2.40 = $13.45
Then subtract the total amount to the $3.00 coupon
$13.45 - $3.00 = $10.45
B $10.45 is your answer
Divide f(x) by x + 15
this comes to 2x^2 - 6 which represents the length