Answer:
y = −3x+7
Step-by-step explanation:
m = slope
slope = change in y / change in x
slope = ▲y/▲x
slope = -3 / 1
slope = -3
y-intersect = (0,7)
The slope-intercept form of linear equation:-
y = mx + b
where:
m = the slope
b = y-intersect
*we plot the information we have get in the formula
y = mx + b
y = -3x + 7
*and this is the equation of the graph
Answer:
4x^2 - 4x - 3
Step-by-step explanation:
f(x) = 2x - 1
g(x) = x^2 - 4
g(f(x)) = ?
[substitute the x of g(x) with f(x)]
g(x) = x^2 - 4
g(f(x)) = (2x - 1)^2 - 4
[solve]
[binomial * binomial = quadratic equation]
[use FOIL method (first, outer, inner, last)]
g(f(x)) = (2x - 1)(2x - 1) - 4
g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4
[combine like terms]
g(f(x)) = 4x^2 - 2x - 2x + 1 - 4
g(f(x)) = 4x^2 - 4x - 3
Answer:
2 pieces
Step-by-step explanation:
Given
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
Convert mixed numbers to improper fraction
Change division to multiplication
<em></em>
<em> </em>
Answer:
10/8 or 1 and 2/8
Step-by-step explanation:
You can convert 2/4 into 4/8 then all you have to do from there is just add to get 10/8.
Hope I could help! :)
The answer to the question is 1.5
