Answer:
Step-by-step explanation:
Let x represent the number if people that she can invite.
Yolanda is doing a party for her daughter. She has spent $130 on the venue and Will spend $18 per person for food. This means that the total amount that she would spend if she invites x persons is
130 + 18x
She wants to spend no more than $500. Therefore, inequality to help her determine how many people she can invite would be
130 + 18x ≤ 500
Answer:
84 :-)
Step-by-step explanation:
The given ratio is:
To find the unit cost per ounce, we can use proportions as follows:
Now, solve for x:
The cost per ounce (unit cost) is then $0.12/oz
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
Answer:
17 hours
take $192 and divide it by 12 so you know how much they make per hour
$192 / 12 = 16
then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)
$272 / 16 = 17
