15. f(n)= 2n-3
a) =2(11)-7
=22-7
=15
=2(-6)-7
=-12-7
=-19
b) f(g)=-5x+1
= -5(41)+1
= -205+1
= -204
= -5(-16)+1
= 80+1
= 81
1 mile=5280 feet
5 miles=5 times 5280=26400 ft
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
<u>BUT</u>, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
Answer:
The inequality sign remains same while multiply or divide both sides by positive numbers.
The inequality sign changes while multiply or divide both sides by negative numbers.
Step-by-step explanation:
The given inequality is - 8 < 2.
Now, if we multiply 2 in both sides then - 16 < 4
Again, if we divide by 2 into both sides then - 4 < 1
Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers.
Now, if we multiply -2 in both sides then 16 > -4
And, if we divide -2 into both sides then 4 > -1
Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)
Answer:

Step-by-step explanation:




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