Let's see here... the answer is C just by using common sense. A doesn't make sense because you can't cube .4, as it is a percentage, and you wouldn't add that to 1000. B makes no sense because the percentage you are using is 4%, not 30%. Of course, just be sure to fact-check me there.
Set the equations to equal each other:
-2x²+1=-2x+1
Solve for x:
-2x²+1=-2x+1
-2x²+2x+1=-2x+2x+1
-2x+2x+1-1=1-1
-2x²+2x=0
2x (-x+1)=0
2x=0 and -x+1=0
2/2x=0/2 -x+x+1=0+x
x=0 1=x
There are two solutions, x=0,1
Answer:
w < 0.6
Step-by-step explanation:
In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.
7w - 5 < 1 - 3w
Inverse operations,
7w - 5 < 1 - 3w
+3w +3w
10w - 5 < 1
+5 +5
10w < 6
/10 /10
w < 0.6
Answer:
D. 7
Step-by-step explanation:
The question is incomplete. Here is a possible complete question
For the given expression, which whole number (w) will make the expression true? 5/6 < w/6
A. 3
B. 4
C. 5
D. 7
Given the inequality expression:
5/6 < w/6
Cross multiply
5×6 < 6×w
30<6w
Divide both sides by 6
30/6 = 6w/6
5<w
Reciprocate both sides(this will change the sense of the inequality)
1/5>1/w
Cross multiply
w > 5×1
w>5
This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7
