Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form: y=mx+b
point a: (1, 1)
point b: (2, 3)
1. Find the slope of the equation
Equation for slope(mx): (y2- y1)/ (x2-x1)
(3-1)/(2-1)= 2
slope: 2
2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.
point a: y=1, x=1
y=mx+b
1=2(1) + b
b= -1
3. Plug the answers you found above into the slope-intercept form
Overall equation:
y=2x - 1
Answer: 129
Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)
Area=3.14(5)²
=3.14(25)
=78.5
But since this is just a half circle, divide this by 2
That will get 39.25
Then add this to the area of the rectangle (L*W) which is 90
That will get about 129
Answer:
The rate of change is "-3". Which means the rate at which the tractor uses fuel.
Step-by-step explanation:
The equation describes a line and any line follows the equation:
y = m*x + c
Where "m" is the rate of change and "c" is the shift on the line. Comparing the equation for the fuel and the equation from the line, the rate of change must be "-3". The rate of change in this context describes the speed at which the tractor uses fuel, at a rate of 3 gallons per hour.
Answer: $47.66
Step-by-step explanation:
The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.
The cost of the jeans is .85 x $28 = $23.80.
The total cost is $24.50 + $23.80 = $43.80.
The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.
Including the sales tax, the total cost is $43.80 + 3.86 = $47.66
Answer:
x/y = 88/7
Step-by-step explanation:
x+y=19
x+3y=12y+5
First rewrite second equation as:
x +3y-12y = 5
Combine like terms:
x-9y = 5
Now you have:
x+y=19
x-9y = 5
Elimination method Subtract 2 equations:
10y = 14 Divide both sides by 10
y = 14/10 = 7/5
Plug in y in any given equation and calculate x:
x+ 7/5 = 19 Subtract 7/5 from 19
x = 88/5 = 17 3/5
x/y = 88/5 : 7/5
