Step-by-step answer:
Given:
two inequalities:
4-x <= -1 ........................(1)
2+3x >= 17......................(2)
Required: find the solution of the intersection of inequalities.
Solution:
Solution to (1):
4-x <= -1 transpose
4+1 <=x simplify
5 <= x rewrite
x >= 5
Solution to (2)
2+3x >= 17
3x >= 17-2
3x >= 15
x >= 5
The intersection of the two solutions x>=5 and x>=5 is therefore x>=5
Check:
x=4, => 4-4 = 0 >1 so not a solution
x=4, => 2+3(4) = 14 < 17 so not a solution
x=5, => 4-5 = -1 so a solution
x=5, => 2+3(5) = 17, so a solution.
similarly for 6, 7, ....
<u>Answer:</u>
x = 2, x = -3
<u>Step-by-step explanation:</u>
We are given the following quadratic equation and we are to solve it for x:
We need to find such factors of -6 that when added give a result of 1 and when multiplied, give a product of -6.
x = 2, x = -3
Answer:
the point (-3, 5) would be plotted in the second quadrant, quadrant ||
Step-by-step explanation:
No need to look at the first two. It’s the third choice, the graph. Easily to tell if a graph is a function, draw lines down the x axis. A single line should not touch the line on the graph more than once. Also called the vertical line test. Therefore the answer is the graph. The first one is definitely wrong because all the x are the same. So if you were to draw a line down the x axis at 0, that line would touch all points there.
X is twenty
2x+6x+20=180
8x=160
X=20
