If x to the 12th power is divided by x to the 9th power:
Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}
Now, simply find the cube root of 125, which is 5.
Therefore, the number (x) must be equal to 5.
<em>Hope this helps! :)</em>
Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8
Answer:
x= −5±√−7 / −2 --> (No Real Solution)
Step-by-step explanation:
−x^2+5x−6−2=2−2
−x^2+5x−8=0
x= −(5)±√(5)2−4(−1)(−8) / 2(−1)
x= −5±√−7 / −2
You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
If I am wrong I am sorry >_<
Answer:
10 miles
Step-by-step explanation:
3+1x=13
Minus 3 from both sides.
3-3+1x=13-3
1x=10
Then divide both sides by 1.
1x/1=10/1
x=10
