Answer:

Step-by-step explanation:
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.


Answer:Because of P'Q'//PQ. Use theorem Thales so we will have OQ'/OQ=P'Q'/PQ=OP'/OP=2/5
I don't know if you study this theorem or not?
Answer:
C. The x-coordinate of the vertex must be 6
Step-by-step explanation:
The parabola intercepts the x-axis when y = 0.
Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.
The x-coordinate of the vertex is the midpoint of the zeros.

Therefore, the solution is option C.
<u>Additional Information</u>
The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:
- Positive leading coefficient = parabola opens upwards
- Negative leading coefficient = parabola opens downwards
We have not been given this information and so therefore cannot determine the way in which it opens.
As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.
We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.
To buy four tickets it would cost $217.5 because
C(x) = 49.5(4) +19.5
C(x) = 198 +19.5
C(x) = 217.5
With $465 you could buy 9 tickets.
C(x) = 49.5(9) +19.5
C(x) = 445.5 + 19.5
C(x) = 465
Answer:
(42,28)
Step-by-step explanation:
set up the problem by converting percentages to decimal
x+y=70
.30x+.80y=50(x+y)
solve for x, so minus y in order to get it x alone. equation should look like this: x=70-y
30(70-y)+80y=50(70-y+y)
solve the equation for y
y=28
plug the value of y into the equation x=70-y
x=70-28
solve for x
x=42
check the solution of (42,28)
42+28=70
30*42+80*28=50(42+28)
simplify the equations
70=70
3500=3500
the ordered pair is a solution
so James needs 42 liters of 30% antifreeze and 28 liters of 80% antifreeze.
(42,28)
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