Let's say:
lengh=x
width=y
"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).
the parameter is (by definition) 2*lenght+2*width.
so we have 2*x+2y=24.
we also know that x=y+4
Substituting:
2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.
y=4
So the width is 4!
The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)
Try this option:
A. f(4)=7 - false; explanation: x=4, it means that x>0 and x²-1=4²-1=15 ⇒ f(4)=15.
B. f(1)=0 - true; explanation: x=1, it means that x>0 and x²-1=1-1=0.
C. f(-1)=2 - true; explanation: x=-1, it means that x<0 and -x+1=1+1=2.
D. f(-2)=0 - false; explanation: x=-2, it means that x<0 and -x+1=2+1=3 ⇒ f(-2)=3.
X=1/27 decimal form=0.037 repeating
Part C:
y = total cost
M = minutes
You can talk on the phone only 100 minutes per month
Company A:
y = 0.04M + 5
y = 0.04(100) + 5
y = 4 + 5
y = 9 $9 per month
Company B:
y = 0.10M + 2
y = 0.10(100) + 2
y = 10 + 2
y = 12 $12 per month
Company A offers the best deal because at Company A you have to pay $9 for 100 minutes per month, and at Company B you have to pay $12 for 100 minutes per month, so you have to pay $3 less.
Part D:
1.) With a budget of $30, Company A would allow me to talk longer on the phone. I know this because for Company A, you pay $3 less per month for the same amount of minutes as Company B. This means that I will save more money with Company A, and I can buy more minutes. (something like this)
Answer:
B
Step-by-step explanation:
Pick any point on both triangles and compare the points to see how they changed.
C to F went from (0,4) to (0,2) went down by 1/2
and it's a dilation of the bigger one of 1/2 so it's B
