Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.
The opposite of multiplying is dividing.
Divide -7x by -7 to get x.
-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)
You're left with x < 6
When we divide/multiply by a negative, we need to flip the inequality with the opposite value.
Your final inequality is:
x _> 6
I hope this helps you. :)
Answer:
y= -3x + 11
Step-by-step explanation:
Slope formula: y^2- y^1 divide by x^2- x^1
y^2 is -1
y^1 is 5
x^2 is 4
x^1 is 2
-1 - 5 = -6
4 - 2 = 2
-6/2 = - 3
Y-intercept: Using the slope and either of the two points, replace the <em>y</em><em>,</em><em> </em><em>m</em><em>,</em><em> </em>and <em>x</em> in y= mx+b.
Using (2, 5)
5= -3(2) + b
5= -6 + b
Add 6 to both sides in order to eliminate -6.
-6 + 6 = 0
5 + 6 = 11
11 = b
Combine your slope-intercept formula:
y= 3x + 11
Answer:
44) 40%
46) 33.3%
68) 8%
74) 72 units
Step-by-step explanation:
44) 20/50= .2= 2-%
46) 5/15= .333= 33.3%
68) 24/300= .08= 8%
74) .8x90= 72
decimal can be made into percents multiplying by 100 (decimal point 2 spots to the right)
percent can be made in to decimals by dividing by 100 (decimal point 2 spots to the left)
Answer:
The answer should be 177.8 cm.
Step-by-step explanation:
