Answer:
- 11x - 2
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 1 - 13x - 3 ← collect like terms
= - 11x - 2
Answer:
1140 ways.
Step-by-step explanation:
The applicable formula is: (n +r - 1)C(r-1), where n is the number of identical items (the candies), and r is the possible number of recipients (the kids).
The 17 identical candies, can be distributed among the 4 children in :
=(17 + 4 - 1)C(4–1) = 20C3 ways.
= 20!/((20–3)!*3!) ways.
= 20*19*18*17!/(17!*(3*2*1)) = 20*19*18/6 ways
= 20*19*3 ways.
=1140 ways.
Answer:
Monday he walked 
Wednesday he walked 
Friday he walked 
Step-by-step explanation:
Given Mason walked on Monday, Wednesday and Friday. These distances were six-eights mile, one-fourth mile, and one-sixth mile. He did not walk the farthest on Monday. He walked less on Friday than Monday. we have to find how far he walked each day.
distances are 
that are 0.75, 0.25 and 0.17 respectively.
Now, he didn't walk farthest on Monday and also walked less on Friday than Monday.
∴ Less distance travelled is 
which is on friday and then 
on monday.
Rest distance which is 
on wednesday.
Hence, Monday he walked
Wednesday he walked
Friday he walked
Answer:
x = 4 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 9 x^2 - 22 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 4) (x + 2) (x^2 + 2 x + 3) = 0
Split into three equations:
x - 4 = 0 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = -2 or x^2 + 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = -2 or x^2 + 2 x = -3
Add 1 to both sides:
x = 4 or x = -2 or x^2 + 2 x + 1 = -2
Write the left hand side as a square:
x = 4 or x = -2 or (x + 1)^2 = -2
(x + 1)^2 = -2 has no solution since for all x on the real line, (x + 1)^2 >=0 and -2<0:
Answer: x = 4 or x = -2
Answer:
<em>B. 2,742.59</em>
Step-by-step explanation:
<em>2480.72 + 857.68 + 4375.80 - 5539.53 + 567.92 = 2,742.59</em>
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