Solve the equation for
x
x
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
7
±
√
13
6
x
=
-
7
±
13
6
Decimal Form:
x
=
−
0.56574145
…
,
−
1.76759187
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval
is equal to
, hence:

Therefore, the average rate of change of
over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:

Therefore, the average rate of change of
over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
Answer:190
Step-by-step explanation:
area of triangles is 5*3=15
15+15=30
rectangles are (5*10)*2+(6*10)=160
160+30=190
The correct answer is B. 130,099.
Hope this helps!
The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.