Answer:
¹²/₇
Step-by-step explanation:
Model ⁴/₇ × 3
Assume that you have three pies, each dived into seven slices.
There are only four slices remaining in each pie, that is, there is ⁴/₇ pie in each pie plate
The picture represents ⁴/₇ × 3.
Model the product
Now, transfer slices to get as many filled pie plates as possible.
Count the total slices.
You have 12 slices, and each slice represents ⅐ of a pie.
You have ¹²/₇ pie.
∴ ⁴/₇ × 3 = ¹²/₇
Answer:
Step-by-step explanation:
The amount your credit score improves depends a lot on how high your utilization was in the first place. If you're already close to maxing out your credit cards, your credit score could jump 10 points or more when you pay off credit card balances completely.
Answer: y = 2/1x + 2
Step-by-step explanation:
A slope of 2 means rising 2 and run 1 on a graph. This would make x = 2/1. The + 2 allows the line to pass through (0,2) and therefore it will also pass through (-2,-2).
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
Step-by-step explanation:
CASE 1: substitute 1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3
R.H.S
-2x - 5
-2(1) - 5 = -2-5 = -7
Hence for x= 1
-(4x-5)+2(x-3) ≠ -2x -5
Because -3 ≠ -7
CASE 2: substitute -1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1
R.H.S
-2x - 5
-2(-1) - 5 = 2-5 = -3
Hence for x= -1
-(4x-5)+2(x-3) ≠ -2x -5
Because 1 ≠ -3
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
Given that opulation of 100,000 decreases by 2% each year.
Now question says to write a function in terms of t that represents the situation.
Question is talking about population decrease so we can apply decay formula. which is given by:

Where A is the population at any time t.
is the initial population so 
r is the rate of decrease so r=2%=0.02
t is the number of years
Now plug those values, we get:


Hence required function is
.