Simplify 2 √3 times 3 √15 Also simplify 3 √5 times √5 Please help
1 answer:
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Answer:
The equation of the line in slope-intercept form is:
y = x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the points on the line graph
- (0, 4)
- (1, 5)
Determining the slope between (0, 4) and (1, 5)
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 4] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 1 in the slope-intercept form
y = mx + b
y = (1)x + 4
y = x + 4
Therefore, the the equation of the line in slope-intercept form is:
y = x + 4
Solve for x. Show each step of the solution.
4(8 – x) + 36 = 102 – 2(3x + 24)
Solve the inequality for x. Show each step of the solution.
12x >9(2x- 3) - 15
4(8 – x) + 36 = 102 – 2(3x + 24)
Solve the inequality for x. Show each step of the solution.
12x >9(2x- 3) - 15