Answer: 24
Step-by-step explanation:
Given : A metallurgist wants to study four different fluxes, two different base metals, and three different amounts of energy input.
i.e. 4 different choices for fluxes.
2 different choices for base metals.
3 different choices for amounts of energy input.
If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input.
Then , the number of runs are possible :-

Hence, there are 24 different runs are possible .
Easy
set to zero
those are the roots or xintersepts
(x+1)(x+4)(x-7)=0
x+1=0
x=-1
x+4=0
x=-4
x-7=0
x=7
xints are (-4,0) (-1,0) (7,0)
Answer:
Explanation:
3 + 2x - y = 0
Or 2x - y = -3 (1)
-3-7y = 10x
Or -10x - 7y = 3 (2)
2x - y = -3 (1)
-10x - 7y = 3 (2)
———————
Multiply 5 to (1)
5(2x - y = -3)
-10x - 7y = 3
———————
10x - 5y = -15
-10x - 7y = 3
———————
-12y = -12
y = -12/-12
y = 1
Plug y value in (1)
2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1
Therefore, x = -1 and y = 1
Answer:
- x ≥ 0: x|x| = x²
- x < 0: x|x| = -x²
Step-by-step explanation:
<u>For x ≥ 0</u>
|x| = x
so
x|x| = x(x) = x²
<u>For x < 0</u>
|x| = -x
so
x|x| = x(-x) = -x²