Answer:
see explanation
Step-by-step explanation:
The diagrams show triangular figures
The first figure has 1 dot
The second has 1 + 2 = 3 dots
The third has 3 + 3 = 6 dots
The fourth has 6 + 4 = 10 dots
Note the pattern is + 2 , + 3, + 4
Thus the fifth pattern is 10 + 5 = 15 dots
You could actually find the compositions and thus have something to compare. You haven't shared the list of possible answer choices.
(f+g)(x) = 5x - 3 + x + 4 = 6x + 1
(f-g)(x) = 5x - 3 - x - 4 = 4x - 7
(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12
There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).
WRite them out.
Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.
Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
A)46. Take 42 and divide it by 3. Then multiply 14 by 4.
b)2:1. There are 2 wings for every 1 beak on a bird.
c)15 minutes. multiply 50 times 60 and that's how many times it beats per minute. Then divide 45000 by that number and that's how many minutes it should take.
d) 28%. You have to add all the students together, and you get 200. Then you divide 56 by 200.
