Answer:
y=-1/2x+1
Step-by-step explanation:
We can use the points to find the slope of the line.
Equation: y₂-y₁/x₂-x₁
2-4/-2-(-6)
2-4/-2+6
-2/4
-1/2 is the slope of the line
So the equation is y=-1/2x+b
We can substitute one of the x-coordinates and the matching y-coordinate into this equation:
2=-1/2*(-2)+b
2=1+b
1=b
b=1
Therefore, the equation is y=-1/2x+1
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = 
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
They way I would do it other than with a calculator would be
27 x (90 - 0.5) which is the same as 27 x 89.5
=> 27 x 90 - 27 x 0.5
27 x 90 is (3 x 9) x 90 or 3 x 9 x 90
9 x 90 = 810
3 x 810 = 2430
Then subtract 27 x 0.5, or 27 / 2
2430 - 27 / 2
=> 2430 - 13.5
= 2416.5
Final answer:
2416.5
Hope I helped :)
Answer:
- 2w + u + 5
Step-by-step explanation:
- (2w - u - 5 ) ← distribute terms in parenthesis by - 1
= - 2w + u + 5