Answer:
89 is the maximum number of guests that can be invited within budget .
Step-by-step explanation:
The cleaning charges = $55
Total budget available = $3350
Cost per guest = $37
Now, actual budget available for guest = Total budget - Cleaning Fee
= $3350 - $ 55 = $3,295
Now, cost per head =$ 37
So, number of guests (n) possible in the budget
⇒ n = (Total guest Budget)/ Cost per head
= $3,295 / $37 = $89.05
or, n = $89.05
So, 89 is the maximum number of guests that can be invited within budget .
So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
Use the power rule to get:
4X^2-13X+3.
Now solve for X when f(x)=0. This is because when the slope is 0, it is either a minimum or a maximum(I'm assuming you know this)
Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
Thus our potential X values for max and min are X=1,X=4,X=3(You don't want to forget the ends of the bounds!)
Plugging these value in for f(x), we get
f(1)=2.833
f(3)=-8.5
f(4)=1.667
Thus X=1 is the max and X=3 is the min.
So max:(1,2.833)
min:(3,-8.5)
Hope this helps!
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,
12. the change in temperature is -1 C. -3 C + -1 C= -4 C
13. The net gain. Lin gained 14 yards, then loss 7 yards, and lastly gained 9 yards
14 + (-7) + 9= 16 yards
14. Pythagoras was born 582 BC. Newton 1643 AD
1643-582= 1,061 years
15. Sonny has $75 but he needs to buy something costs $93
he needs to borrow $18.
93-75= $18
Answer:
LM
Step-by-step explanation:
A midsegment is the line from the midpoint of 2 sides of the triangle and parallel to the third side.
L is at the midpoint of AB and M is at the midpoint of BC
LM is the midsegment
