Yeah, they're equal.
8 * 3 = 24 and 8 * 4 = 32
so 24x+32 = 24x+32
5x²+13x-4-17x²-7x+19+15x²+5x-21x-7=
=5x²+15x²-17x² +(13x-7x+5x-21x) -4-7+19=
=3x²-10x+8
Answer: Option d.
Step-by-step explanation:
It is important to remember the following proporties in order to solve the exercise:

In this case you have this expression given in the exercise:

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.
Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that
):

25mph.
using the equation distance = speed x time, you can make 2 equations. let x be the original speed of the train, and t be the original time it takes. the first equation is the original trip, the 2nd is your new speed and shortened time.

this is because you are adding 5mph, and taking off 1 hour of time, to still cover the 150 miles. you can solve the first equation for t, and substitute into the second, and then solve for x.

and using the quadratic formula you can find x=25.
The equation the find the circumference of a circle is c=2<span>πr.
c=2</span><span>π5
c=10</span><span>π
c=31.4159...
the circumference of the backyard is 31.4 yards.
Hope I helped...</span>