Answer:
(3,2)
Step-by-step explanation:
We are given the system:
3x-y=7
2x-2y=2.
We are asked to solve this by substitution. We need to pick an equation and pick a variable from that equation to solve for that variable.
I really like either for this. Some people might go with the first one though. Let's do that. I will solve the first one for y.
3x-y=7
Subtract 3x on both sides:
-y=-3x+7
Divide both sides by -1:
y=3x-7
Now we are ready for substitution. We are going to plug this equation into the second equation giving us:
2x-2y=2 with y=3x-7 gives us:
2x-2(3x-7)=2
Distribute:
2x-6x+14=2
Combine like terms:
-4x+14=2
Subtract 14 on both sides:
-4x =2-14
Simplify:
-4x =-12
Divide both sides by -4:
x =-12/-4
Simplify:
x =3
So using y=3x-7 and x=3, I will find y now.
y=3x-7 if x=3
y=3(3)-7 (I inserted 3 for x since we had x=3)
y=9-7 (Simplified)
y=2 (Simplified)
The answer is (x,y)=(3,2).
Answer:
23/15
Step-by-step explanation:
find g(-3)
g(-3) = 2(-3)² + 5 = 2(9) + 5 = 18 + 5 = 23
Now find p(-3)
p(-3) = (-3)² - 2(-3) = 9 - (-6) = 9 + 6 = 15
Now find g(-3)/p(-3)
23/15
Hey there!
So, the questions stated that it wanted you to put the values in a specific format.
f(x)= P(1+r)^x
P= what is in the account R= Rate
So, we know that the account as a 4% annual interest rate. In a decimal form, that is 0.04.
Now, we can plug all the numbers in.
500(1+0.04)^x
Or, 500(1.04)^x
All we need to do to find the savings after 5 years is plug in 5 for x into a calculator.
500(1.04)^5= 608.3264512, we can round it to 608.
So, the correct answer is f(x)= 500(1.04)^x, $608
I hope this helps!
~kaikers
1/5 < 3/4 < 7/8 this is the answer from least to greatest
~hope this helped~
Answer:
Step-by-step explanation:
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<u>The scale factor is </u>
<u>Area of the logo on shirts</u>
- A = 1/2bh
- A = 1/2*(1.5*8)(1.5*8) =72 in²
