Answer:
The answer is (g°f)(-1) = 27
Step-by-step explanation:
* (g°f)(1) ⇒ means make the domain of g is the range of f
- At first find the value of f(-1)
- Take the answer and substitute it as the value of x for g
- So the range of f is the domain of g
∵ f(x) = 4x + 7
∵ The domain of f = -1 ⇒ x is the domain
∴ f(-1) = 4(-1) + 7 = -4 + 7 = 3 ⇒ f(-1) is the range
∵ g(x) = x³
∵ x = f(-1) = 3 ⇒ the domain of g
∴ g(3) = 3³ = 27 ⇒ the range of g
* (g°f)(-1) = 27
Answer:
<em> = n² + 4n ; n = 11 </em>
Step-by-step explanation:
= 
[2 
+ (n - 1)d]
~~~~~~~~~
= 5
d = 7 - 5 = 2
= [ 2(5) + 2(n - 1)] = ( 8 + 2n ) = 4n + n²
<em> = n² + 4n</em>
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ <em>n = 11</em>
Answer:A) yes,B)4.50n<135
Step-by-step explanation: should would make profit because you would take the answer you got from 12n > 135 + 4.50n to see work look below
- 12-4.50=7.5
- 7.5n>135
- 7.5/135=184
- 18*15=270
the answer for part b would be to see work look below
- set up equation(4.50n<135)
- 4.50/135
- anwer is n<30
hope I helped!!!!!
Answer:
Option D : $780 is the correct answer.
Step-by-step explanation:
Given expression is:
E = $500 + $7x
We will put all the values of given options to check.
A. Putting 430 in given expression
430 = 500 + 7x
430 - 500 = 7x
-70 = 7x
As the number of items sold cannot be negative, therefore, this option is not correct.
B. 530 = 500 + 7x
530 - 500 = 7x
30 = 7x
x = 4.3 (By dividing both sides by 7)
Which is not a whole number.
C. 680 = 500 + 7x
680 - 500 = 7x
7x = 180
x = 25.71
Which is also not a whole number.
D. 780 = 500 + 7x
780 - 500 = 7x
280 = 7x
7x = 280
x = 40
Which is a whole number.
Hence,
Option D : $780 is the correct answer.
