The answers are #1 45 #2 24 #3 10
Answer:
6/8 or 3/4
Step-by-step explanation:
Because the denominator is the same, just add all the numerators, 1+2=3, then 3+3=6. So 6/8 or when simplified, 3/4.
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width= 
Length =
Width = 
Answer:
She made 12 two point basket.
Step-by-step explanation:
Assuming the number of 2 point basket is x and that of 3 point basket is y.
Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.
x + y = 14 eqn 1
2(x) +3(y)=30 eqn 2
Using elimination method multiplying eqn 1 by -3 and adding it to equation 2
-3x-3 y = -42 adding to eqn 2 gives
-x= -12
x=12. Which gives the number of the 2 points basket she made .