Answer:
y = 2x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = ( 0, 4) ← 2 points on the line
m =
=
=
= 2
the line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 2x + 4 ← equation of line
Step-by-step explanation:
Let the number be x,
Now,
The difference of a number and 3 is equal to the quotient of 10 and 5.
- (x-3)=(10/5)
- x-3=2
- x=2+3
- x=5
Answer:
x^2.
Step-by-step explanation:
(x+3)^2 -3 (2x+3)
= (x + 3)(x + 3) - 3(2x + 3)
= x^2 + 3x + 3x + 9 - 6x - 9
= x^2 + 6x + 9 - 6x - 9
= x^2 + 6x - 6x + 9 - 9 Simplify like terms:
= x^2.
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
There's the answer what you do is
5x2=10 2/10 3/15 5/25 8/40