A works because it
due to laws of exponents
B works because (3*3)^x= (9)^x through simple multiplication
C does not work because ![3^x*3^x=3^2^x](https://tex.z-dn.net/?f=%203%5Ex%2A3%5Ex%3D3%5E2%5Ex%20)
D does not work because ![3^2*3^x=3^2^+^x=9^x](https://tex.z-dn.net/?f=%203%5E2%2A3%5Ex%3D3%5E2%5E%2B%5Ex%3D9%5Ex%20)
E does not work because ![3*3^x=3^1^+^x](https://tex.z-dn.net/?f=%203%2A3%5Ex%3D3%5E1%5E%2B%5Ex%20)
F does not work because ![3*3^2^x=3^1^+^2^x](https://tex.z-dn.net/?f=%203%2A3%5E2%5Ex%3D3%5E1%5E%2B%5E2%5Ex%20)
Answer:
x²-7 = 0 part 1 and part 2 : x = sqrt(7) or x = -sqrt(7)
Step-by-step explanation:
Solve for x:
x^2 - 7 = 0
Add 7 to both sides:
x^2 = 7
Take the square root of both sides:
Answer: x = sqrt(7) or x = -sqrt(7)
1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime number,. then (x+y)/7 = z². In this case either x = 2 or y = 5 (or vice vera). This is the only possibility to be divisible by 7 . Then (5+2)/7 = 1² = 1
2) 5 pipes → 2 hours → 2 pools
then 1 pipe takes (5x2) 10 hours to fill 2 pools
or 1 pipe takes (10/2) 5 hours to fill 1 pool
3) It's 6/30 = 0.2 or 20%
4) 35% represent 7 Students, 100% of the class represent x students:
35%/7 = 100%/x
0.35/7 = 1/x (Cross multiplication) →0.35x = 7 and x = 7/0.35 → x = 20 students
5) Let K be the age of Katie and B her brother's
K + 2 = B OR K = x - 2 (Today)
In 12 years (B+12), B will be twice K (remember K = B-2) →
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2) →
B+12 = 2B - 4→
12 + 4 = B and B = 16. If the brother is 16, then Kate is 14
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Answer:
What you have seleccted (A) is correct! Great job!
WHY NICO? WHY IS IT CORRECT?
Horizontally - Indicates that the movement is from either left to right.
Positive Direction - To the right, or up; in this case, it means to the <em>right</em>.
4 units - Self-explanatory, but make sure you know this is done from the already given coordinate, (-1, 3)!