Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
3 consecutive odd integers....x, x + 2, and x + 4
x + x + 4 = 3(x + 2) - 131
2x + 4 = 3x + 6 - 131
2x + 4 = 3x - 125
2x - 3x = - 125 - 4
-x = - 129
x = 129
x + 2 = 129 + 2 = 131
x + 4 = 129 + 4 = 133
so ur 3 odd numbers are : 129,131, and 133 <==
All functions have an inverse expression.
- The cost function is:
. - The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
brainly.com/question/10300045
Answer: $13.11
Step-by-step explanation:
hope this helps!
Answer:
34
Step-by-step explanation:
F(x) = 2x^3 - 7x + 1
Let x= 3
F(3) = 2* 3^3 - 7*3 + 1
= 2 * 27 -21+1
= 54 -21 + 1
= 34
