Answer:
y < -7
Step-by-step explanation:
You balance it like a normal equation:
8y + 3 > 15y + 52
8y + 3 (-8y) > 15y + 52 (-8y)
3 (-52) > 7y + 52 (-52)
-49 (÷7) > 7y (÷7)
y < -7
Since there are 5,280 feet in a mile, you have to multiply the number of miles per hour by 5,280.
If you multiply 5,280 by 70, you get 369,600, which is the amount of fph that the cheetah can run.
You final answer is that if a cheetah can run 70 miles per hour, it is running 369,600 feet per hour.
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute
, it means that you have to substitute
in place of
. Differently from the first two points, this will generate a new function, rather than a specific value:

Second picture:
Given the point
highlighted in the picture, you can deduce that the base is
units long (since it spans from
to
) and the height is
units long (because it spans from
to
). So, the area of the rectangle is the multiplication between base and height:

But we know that
, so we have

The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have

But since the problem is symmetric, the answer is

You can only see the answer
because, if you choose
or
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
Answer:
2/5
Step-by-step explanation:


36 divided by 90 is 2/5.
When solving for X you do the opposite to a number if you are moving it to the other side of the problem. so, since x is being divided by 4/9, 4/9 would be multiplied to the opposite or to the 9/10.