A. (f + g)(x) = f(x) + g(x) = 4x - 5 + 3x + 9 = 7x + 4
B. f.g (x) = f(x) * g(x) = (4x - 5)*(3x + 9) = 12x^2 + 36x - 15x - 45
= 12x^2 + 21x - 45
C Replace the x in f(x) by g(x):-
= 4(3x + 9) - 5
= 12x + 36 - 5
= 12x + 31
Answer:
c) 1,381.5.
Step-by-step explanation:
First term = 3.1 *1 - 2 = 1.1
2nd term = 3.1*2 - 2 = 4.2
3rd term = 3.1*3 - 2 = 7.3
so the common difference d = 3.1.
S30 = (30/2) [ 2* 1.1 + (30-1) * 3.1)]
= 1,381.5.
Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
Complete question :
designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
Answer:
2 squares backward
Step-by-step explanation:
Given the rule :
Blue card = 4 squares forward
Red card = 6 squares backward
Yellow card = drawing a blue followed by a red
Spaces moved after drawing a yellow card:
Yellow equals :
Blue = + 4 squares ; then
Red = - 6 squares
Net total movement :
Blue + red
+4 + (-6)
4 - 6
- 2
2 squares backward
Answer:
28
Step-by-step explanation:
