Answer:
-67
Step-by-step explanation:
Answer:
Dots sold 152 t-shirts and 38 shorts sold.
Step-by-step explanation:
Let t = t-shirts and s = shorts.
We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s
Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456
So our two equations are:
t = 4s
2t + 4s = 456
Substitute t from the 1st equation into the 2nd:
2(4s) + 4s = 456
8s + 4s = 456
12s = 456
s = 38
There were 38 shorts sold.
Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:
t = 4s
t = 4(38)
t = 152
There were 152 t-shirts sold.
Two sides are same so that would be isosceles triangle. So then you would add up all angles and get this equation: 180 = 38 + x + x
2x = 142
x = 71
So the value of x is 71.
Answer:
Choice C
Step-by-step explanation:
Using the Pythagorean theorem, you can find that the length of the hypotenuse is:
Hope this helps!
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
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