<span>-3(5+8r)=33-8r
-15 - 24r = 33 - 8r
-15 - 33 = - 8r + 24r
-48 = 16r
-48/16 = r
-3 = r
r = -3</span>
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Robert should get D. 8281.25 pesos in exchange.
Explanation:
- Robert is bringing 625 U.S. dollars with him to Mexico. He needs to exchange the money he has with him to Mexico's currency i.e. from U.S. dollars to Mexican pesos.
- The exchange rate is 13.25 Mexican pesos for each U.S. dollar. So 1 U.S. dollar = 13.25 Mexican pesos.
- So to calculate how much 625 U.S. dollars is in pesos we multiply 625 with the exchange rate i.e. 13.25 pesos 625 U.S dollars = 625 × 13.25 = 8281.25 Mexican pesos.
Answer:
C.
Step-by-step explanation:
The pythagorean theorem shows a^2+b^2=c^2.
a=8, b=15, c= the unknown distance
8^2+15^2=c^2
Answer:
84 cookies
Step-by-step explanation:
First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:
30 cookies/15 minutes = 2 cookies/minute.
Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:
42 x 2 = 84
84 cookies is your answer.
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