Answer:

Step-by-step explanation:

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:

So John is 8 years old
The material costs 5.37 for 1 yard.
Multiply the cost of 1 yard by the number of yards bought:
5.37 per yard x 4.75 yards = $25.51 Total cost.
The answer would be D.
If 6/20 took the bus then there is 14/20 remaining.
6/20 simplified is 3/10.
14/20 simplified is 7/10.
Hope This Helps You!
<span>Good Luck Studying :)</span>
Answer:
a) The vertex of the graph is
, b)
, c) The equation of the parabola is
.
Step-by-step explanation:
a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.
The vertex of the graph is
.
b) If we know that
,
and
, then the value of
is:




c) The equation of the parabola is
.