Answer:
(
g
−
f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
(
g
−f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
=
−
3
a
−
3
−
a
2
−
5
=
−
a
2
−
3a
−
8
Step-by-step explanation:
Answer:
$210
Step-by-step explanation:
The first thing we can do is to add the $25 back on to the total cost.
25 + 115 = 140.
We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.
Now, to find the original price we can use this equation:

X represents the original price.
To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

Now you can solve:

We can check this answer by multiplying 210 by 2/3
(210)(2/3) = 140
Remember, Sam used a gift certificate for $25
140 - 25 = $115
Therefore, the original price of the skis is $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
9
Step-by-step explanation:
9^2 is equal to 9x9 the ^2 square means multiply by itself
good luck:)
Answer:
x intercept: (1,0)
y intercept: (0,3)
Step-by-step explanation: Substitute variables for 0 and solve
Answer:

Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is