Alright, 4 to the 8th power is 4x4x4x4x4x4x4x4 which ends up as 65,536.
4 to the 5th power is the same thing but with 5 4's and that is 1,024.
All you need to do now is 65,536/1,024 = 64.
Solved! :D
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.
Since x=8/3 is a vertical line,the slope is undefined,
change yrds to ft
5yds = 5*3 = 15 ft
5yds 2 ft = 15ft + 2ft = 17 ft
6yds = 6 * 3 = 18 ft
6 yds 1 ft = 18 + 1
19 ft
A = l * w
A = 17* 19
A = 323 ft^2
Choice A
Given :
Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.
To Find :
If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.
Solution :
His total earning is given by :
T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)
T = 10x + 13y
Now, he wants to earn a minimum of $300 i.e T ≥ $300.
So, 10x + 13y ≥ 300
Hence, this is the required solution.
