Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.
Example:
4+5x=24
First you would subtract 4 or add the opposite of 4 from 24.
4+5x=24
+(-4) +(-4)
—————
5x=20
Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.
1/5*5x=20*1/5 (reciprocal)
X= 4
You would use the same steps in an inequality but end up with a different sign.
Well,
Slope-intercept form is given as follows:
y = mx + b
In this equation, "m" is the slope, and "b" is the y-intercept.
y = 12x + 7
We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.
Therefore, the slope of the equation is 12.
Answer:
30.7 ft
Step-by-step explanation:
<em>An equilateral triangle with area 43.5 has a height of 8.68 not 8.5</em>
<em>I will do the problem as written even though it is not a possible equilateral triangle</em>
<em>---------------------------------------------</em>
a = (1/2)bh
43.5 = (1/2)b(8.5)
43.5 = 4.25b
b = 43.5/4.25
b = 10.2352941176
-----------------------
p = 3b
p = 3 * 10.2352941176
p = 30.7058823528
~ 30.7 ft
Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.
Answer:
x = -11
Step-by-step explanation:
−3x + 6 = 39
-3x = 33
x = -11
