Explicación paso a paso:
Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.
Dada la función que da forma al comportamiento expresado como;
f (x) = (-2x) ^ 2 + 80x + 300 donde;
x es el costo de cada boleto
f (x) es el número de personas que deben ir
Para obtener x, usaremos la expresión;
x = -b / 2a
De la ecuación cuadrática dada, a = -2, b = 80 yc = 300
Sustituir;
x = -80/2 (-2)
x = -80 / -4
x = 80/4
x = 20
Por lo tanto, el boleto cuesta $ 20.
Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;
f (x) = (-2x) ^ 2 + 80x + 300
f (20) = (-2 (20)) ^ 2 + 80 (20) +300
f (20) = (-40) ^ 2 + 1600 + 300
f (20) = 1600 + 1600 + 300
f (20) = 3500
Por lo tanto, 3500 personas tienen que ir
Answer:
B(-10)=-6
Step-by-step explanation:
we have
B(x)=x+4
we know that
B(-10) is the value of the function B(x) for the value of x=-10
so
substitute the value of x=-10 in the function
B(-10)=-10+4=-6
therefore
B(-10)=-6
Do you mean as a decimal? 11.8
Answer:
(a) B
(b) $2
Step-by-step explanation:
(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:
12t + 8p = 184
9t + 6p = 138
We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:
3 * (12t + 8p = 184)
4 * (9t + 6p = 138)
We get:
36t + 24p = 552
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 36t + 24p = 552
________________
0 = 0
Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.
(b) Our equation from this, if we still use t and p, is:
5t + 4p = 82
Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:
5t + 4p = 82
9t + 6p = 138
To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:
6 * (5t + 4p = 82)
4 * (9t + 6p = 138)
We get:
30t + 24p = 492
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 30t + 24p = 492
________________
6t + 0p = 60
So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:
5t + 4p = 82
5 * 10 + 4p = 82
50 + 4p = 82
4p = 32
p = 32/4 = $8
So the ticket costs 10 - 8 = $2 more dollars than the popcorn.
For first pound it is = $2.41
For next six, = 0.41 * 6 = $2.46
Remaining = 7.99 - (2.41 + 2.46) = 7.99 - 4.87 = 3.12
Now, additional pounds = 3.12 / 0.39 = 8
Total weight = 1 + 6 + 8 = 15
In short, Your Answer would be 15 pounds
Hope this helps!
