Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
From the given data sets we shall obtain the answers as follows:
<span>301 345 305 394 328 317 361 325 310 362
Re-arrange the data in ascending order:
301, 305, 310, 317,325, 328, 345, 361, 362, 394
from the above we see that:
Minimum value=301
Q1=310
median=(325+328)/2=326.5
Q3=361
Maximum value=394
Thus the box plot will be as follows:
</span>
Answer:
x= 1/256
Step-by-step explanation:
1. multiply both sides by 8x (answer: -5= 8x*-160)
2. divide both sides by -160 (answer: -5/-160 or 1/32 =8x)
3. divide both sides by 8 (answer: 1/256 = x
4. check your answer: -5/(8*1/256)= -160
Answer:
x < 0
Step-by-step explanation:
Firstly put the values with variable x to one side,
; -12 - x > -12 + 4x
; -12 + 12 > 4x + x
; 0 > 5x
then divide both sides by 5,
; (0 ÷ 5) > (5x ÷ 5)
; 0 > x
; Hence the solution to the inequality above,
; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,
Therefore...( x < 0 )