Answer:
For every 7 small prizes won, there were 3 large prizes won.
ratio : 42:18 or 7:3
Answer:
A. (f+g)(x) means add the two functions, f and g
since f is 2x-2 and g is 6x, you'll just add them together
(f+g)(x)=2x-2+6x = 8x+2
B. (f-g)(x) means subtract the two functions, f and g
since f is 2x-2 and g is 6x, you'll just subtract
(f-g)(x)=2x-2-6x = -4x+2
C. (g-f)(x) I think you're getting the hang of it!
=6x-(2x-2) just be sure to put the second function in parentheses because you're subtracting the whole thing
=6x-2x+2 = 4x+2
D. (g+f)(x) try this on your own and check here
6x+(2x-2) = 6x+2x-2 = 8x-2
Step-by-step explanation:
to add or subtract functions, don't let the function notation throw you off. Pretend each one is just a number and you just add or subtract the whole thing. You got it! Next they will give you something like find (f+g)(5). All that means is add the two functions like in part a, and then in the final answer, plug in 5 instead of x. For example (f+g)(5) = 8x+2 = 8(5) +2 = 42
:)
Answer:
x = - 2, x = 7
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
Answer:
Option D <em>The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values </em>is correct option.
Step-by-step explanation:
At x-axis we have number of hours worked and y-axis represents earnings in dollars.
We can make the table:
Number of hours worked (x) earnings in dollars (y)
1 12
2 24
3 36
4 48
5 60
Now, we need to find the pattern.
If we add 1+ 11 we get 12, but if we add 2+ 11 we get 13 and not 24 so, the pattern is not additive.
Now, if we multiply 1 by 12 (1 x 12) we get 12,
then 2 x 12 = 24
3 x 12 = 36
4 x 12 = 48
and 5 x 12 = 60
The same number if multiplied with x-axis we get y-axis.
So, the pattern is multiplicative. and we are multiplying 12 with the number of hours worked, so the correct option is option D.
Option D <em>The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values </em>is correct option.
