Answer:
Yes.
Step-by-step explanation:
In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Answer:
$1,901.56
Step-by-step explanation:
Answer:
The number of tickets they need to sell is 
Step-by-step explanation:
The formula is p = n(d - c), where
- P is the total profit made from the event
- n is the number tickets sold
- d is the price charged for each dinner
- c is the cost of food per plate
To find the number of tickets they need to sell separate n in one side and the other variables p, d and c in the other side
p = n(d - c)
n is multiplied by the difference of d and c, so lets divide both sides by the difference of d and c
Cancel (D_C) up with (d - c) down in the right hand side
Switch the two side
The number of tickets they need to sell is
Answer:
I'm not sure what the question is but the equation is y=6x+4
Step-by-step explanation:
The y intercept is 4. Rise over run is 6.
