Answer:
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 1
<span>miles per gallon uses ratios. Say your car was doing 80 miles for 4 hours. You would have the ratio 80;4 and you need to find the miles per 1 hour</span>
<h2><u>Anѕwєr :</u></h2>
48/15 or 3 whole 3/15
<h2><u>Explαnαtion :</u></h2>
There are 4 pizzas and each have 12 slices. So,
→ Number of slices each pizza have = 12 slices
→ Number of slices 12 pizzas have = (12 × 4) slices
→ Number of slices 12 pizzas have = 48 slices
Now, we have to find the number of slices each person get if they are split evenly.
→ Number of people = 15
Let the the number of slices each person get if they are split evenly be x. So,
→ Total number of slices = Number of people × Number of slices each gets
→ 48 = 15x
→ <u>48/15 or 3 whole 3/15 = Number of slices each gets</u>
Therefore, the number of slices each person get if they are split evenly is 48/15.
A = -16 b = 0 c = 541
Use the quadratic formula which is
x = [-b +- sq root (b^2 -4*a*c)] / 2*a
x = [-0 +-sq root (0 -4*-16*541)] / 2 * -16
x = + - sq root (0 -4*-16*541) / -32
x = + - sq root (34,624) / -32
x = + - 186.075 / -32
x1 = 186.075 / -32 =
<span>
<span>
<span>
-5.81484375
</span>
</span>
</span>
x2 = -186.075 / -32 =
<span>
<span>
<span>
5.81484375
</span>
</span>
</span>
Answer:
We can now write this is a function of time in years leading to
f
(
x
)
=
200
(
.94
)
x
f
(
5
)
≈
147
Explanation:
Firs you should consider that if its exponential then it has some form similar to
3
x
. Where we have some known part (3) and the unknown part (
x
) that we are trying to find out. Mathematically we can say it has the form
a
x
. In this case we know what the
a
is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.
Well it turns out that if you multiply some value over and over again it has this form. Example we multiply
2
⋅
2
⋅
2
⋅
2
=
2
4
. So if something doubled over time then this is what would happen.
Now the problem is that it will continue to decrease at the same rate leading to
a
⋅
(
.94
)
because only
94
%
of the population remains each year. After two years
a
⋅
(
.94
)
⋅
(
.94
)
. We can now write this is a function of time in years leading to
f
(
x
)
=
200
⋅
(
.94
)
x
f
(
5
)
≈
147
Step-by-step explanation:
