Absolute value is the distance/difference from a number to the standard number. In this case, the standard value is 14. Let's say 7-year-old Mike is riding his bike up and down the neighborhood street. Mike's house is located on 14th Avenue. Mom told Mike to stay within 3 blocks from home, so Mike can go as far north the 17th street and as far south to 11th street.
x-14=3 or x-14=-3
x=17 or x=11
I hope this makes sense to you.
Answer:
Unlikely
Step-by-step explanation:
50/50 means that there is half a chance to loose a turn or 6/12 which is not the case.
Certain is definitely not correct as there is only 1/12 of a chance.
And impossible is not possible because it would have to be 0/12. There is still a chance to loose a turn with 1/12
Answer:
y=4x-27
Step-by-step explanation:
Answer:
y=1/2x+8
Step-by-step explanation:
y=mx+c
gradient will stay the same = 1/2
y=1/2x+c
5= 1/2(-6)+c
5=-3+c
+3 on both sides
8=c
y=1/2x+8 will be parallel to y=1/2x-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.
