Answer: The functions have the same initial value
Step-by-step explanation: I say this because "Tour 1" is a linear funtion. I subtracted 45 from 55 and got 10, this happened for all the numbers on the table. On the other hand, When observing the graph it shows the initial point between 40 and 30. I estimated and got 35. When I went to check my answer, I subtracted 35 from 45 and got 10. Therefore, 35 is the initial value for both the graph and the chart.
Answer:
45
Step-by-step explanation:
To find the area of any right triangle, meaning a triangle with a right angle, you use 1/2 base x height
So... here the base is 9 and the height is 10
Therefore: 1/2 x (9) x (10)
1/2 x 90
= 45
Answer:
-2.45
Step-by-step explanation:
You are asked to EVALUATE 8.722÷(−3.56). Here you are dividing a positive number by a negative one, and so you expect that the result (quotient) will be negative.
Thus, 8.722÷(−3.56) becomes -8.722÷(3.56) = -2.45
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
Answer:
D
Step-by-step explanation:
Direct Variation takes the form 
Inverse Variation takes the form 
- Where A and B are the 2 variables associated and k is the proportionality constant.
<em>Since </em><em>number of dolls [N] </em><em>varies </em><em>directly </em><em>with </em><em>advertising budget [A],</em><em> in our equation, </em><em>A should go in the numerator</em><em> and since </em><em>number of dolls [N] </em><em>varies </em><em>inversely</em><em> with </em><em>price of dolls [P]</em><em>, </em><em>P should go in the denominator.</em>
Thus we can write our equation as:
Solving this equation for k given the information "The company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30":
Rounding 
to 
Now, given that we want to find the number of dolls [N] when 
and 
, we have:
dolls
Answer choice D is correct.
