The first box is -7 and the other one is just 7
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Step-by-step explanation:
When dividing or multiplying by a negative number, remember to flip the inequality sign.
-3x < 15
x > -5 (divide -3 on both sides, flip the inequality sign)
The correct options are 2 and 9. (D and E)
Answer:
B)14.14
Step-by-step explanation:
a square is made of 2 right triangles
the two legs of one right triangle are both 10 so
using Pythagorean theorem we get the square root of 10^2+10^2
this solves to the square root of (200)
which is ≈ 14.14...
Answer:
f=2
Step-by-step explanation:
f(x-2)=2x-4
divide x-2 to 2x-4
f=2
f(2-2)=4-4
