Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
Is this a STARR test?
A. Divide 99 by 250
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
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Answer: 26
Step-by-step explanation:
Answer:
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Step-by-step explanation:
Let the number of
Fiction books = x
Non fiction books = y
The libary has 4,000 books in total.
Hence: x + y = 4000........ Equation 1
The number of fiction books in a libary is %150 of the number of non-fiction books.
x = 150% of y
x = 150/100 × y
x = 1.5y
We substitute 1.5y for x in Equation 1
x + y = 4000
1.5y + y = 4000
2.5y = 4000
y = 4000/2.5
y = 1600 non fiction books
Solving for x
x = 1.5y
x = 1.5 × 1600
x = 2400 fiction books.
Therefore,
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books