Answer:
2k
Step-by-step explanation:
-k+3k
factor out a k
k(-1+3)
k(2)
2k
Answer:
The number is 7.
Step-by-step explanation:
In this case we have an unkown variable that is a number. We will call this number by "x", this is what we want to calculate. In the first part it is said that the number or x is added to the numerator and in the second part it is said that twice the number is added to the denominator, and that this fraction is equal to 1/3. So we have:
1/3 = (12 + x)/(43 + 2*x)
43 + 2*x = 3*(12 + x)
43 + 2*x = 36 + 3*x
43 - 36 = 3*x - 2*x
x = 7
The number is 7.
The answer is 12.50 and equation is y=5.25p -3.25
Answer:
y = -
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (4, - 3)
m =
=
= -
, thus
y = -
x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 2, 0 ), then
0 = 1 + b ⇒ b = 0 - 1 = - 1
y = -
x - 1 ← in slope- intercept form