F(x)=1-x² and g(x)=√(11-4x)
(g+f)(2)=>
1-(2)²+√(11-4(2))
=√3-3
(f/g)(-1)
(1-(-1)²)/(√(11-4(-1))
=0
(g-f)(-1)
√(11-4*-1)-(1-(-1)²
=√15
(g×f)(2)
1-(2)²×√(11-4(2))
-3√3
Answer:
<em>16/35</em>
Step-by-step explanation:
From the question we are given:
total number of cupcakes needed for the school dance = 140 cupcakes
Lucy made 35cupckes
JoJo made 42 cupcakes
Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes
Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes
Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140
Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35
<em>Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35</em>
Answer:
- solutions: (2, 10), (4, 5)
- non-solutions: all other points
Step-by-step explanation:
It can be useful to graph the inequalities related to Tyler's limits of money and weight.
1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford
1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry
Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.
500,000 - 100%
10,000 - x
X = (100*10,000)/500,000 = 1,000,000/500,000 = 2%
Answer 2%
Answer: Yes
Step-by-step explanation:
Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.
Number of boxes * Number of wrapping paper required for each box
6 x 3/8 = 9/4
Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.
2 3/4 - 9/4 = 1/2
Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.
1/2 - 1/2 = 0
So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.