Answer:
option B
Step-by-step explanation:
We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.
These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).
So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.
The other options show functions that have only one point that goes to infinity.
Make them count jelly beans.
The pictures may be in a different order for you but it’s the 3rd graph where the minimum is (-4,-1)
The right system of equations to describe the situation would
be on the form:
x1 = 8000 + y1*t
and
x2 = 8000 + y2*t
where x1 and x2 represents the total money of Imogene and her
friend respectively at the end of t years.
Now for the value of amount earned, y1 and y2:
y1=8000*0.08
y2=2000*√(t-2)
<span> </span>
<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>
l = 2w - 5
2l + 2w = 80
We have a value for l, so we can plug it into the second equation to solve for w.
2(2w - 5) + 2w = 80
Distributive property.
4w - 10 + 2w = 80
Combine like terms.
6w - 10 = 80
Add 10 to both sides.
6w = 90
Divide both sides by 6.
w = 15
Now that we have a value for w, we can plug it into the original equation to solve for l.
l = 2(15) - 5
l = 30 - 5
l = 25
