Answer:
The equation of the line is y = 3/2x + 5/2
Step-by-step explanation:
To find the equation of this line, start by using the two points with the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(1 - -1)
m = 3/(1 + 1)
m = 3/2
Now that we have the slope, we can use that and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 3/2(x - 1)
y - 4 = 3/2x - 3/2
y = 3/2x + 5/2
4w⁹ -2w⁹
= (4-2)w⁹ . . . . . distributive property, or "collecting terms"
= 2w⁹
_____
In plain text, a caret (^) is used to identify an exponent. w⁹ = w^9. If the exponent has any arithmetic, you need parentheses around it. w^(8+1)
There's a strong negative association between the two variables.
Answer:
<u>28.5 and 32.5</u>
Step-by-step explanation:
<em>create an equation to solve:</em>
x + (x+4) =61
2x + 4 = 61 combine like terms
2x = 57 subtract 4 from both sides
x = 28.5 divide 2 from both sides
28.5 is the smaller number
the larger number is 4 more so:
28.5 + 4 = 32.5
32.5 is the larger number
check your work:
28.5 + 32.5 = 61
The answer is 10.4 because 5 is counted as higher so it's 10.4.