Answer:
Step-by-step explanation:
5x + 21 = x² + 2*x*3 + 3²
5x + 21 = x² +6x + 9
x² + 6x+9 -5x - 21 = 0
x² + 6x - 5x + 9 -21 = 0
x² + x - 12 = 0
Sum = 1
Product = -12
Factors = 4 , -3 {4*(-3) = -12 and 4 + (-3) = 1}
x² + 4x - 3x - 12 = 0
x(x + 4) - 3(x +4) = 0
(x + 4)(x - 3) =0
x = - 4 , 3
Answer:
20%
Step-by-step explanation:
Find the difference of both prices.
150 - 120 = 30
Calculate the ratio of the decrease in price to the original price.
30/150 = 0.2
Multiply the decimal by 100 to get your percentage.
0.2(100) = 20
B. Why?
The women spent "less than $26" => thats equivalent to < 26
and $3 each, 3b, b is the amount of books, 3 is the price per book.
So, B. 3b < 26
y = 4x/5 - 22/5
Given slope of line is 4/5 and point is (3,-2)
Slope, Numerical measure of a line's inclination relative to the horizontal. In differential calculus, the slope of a line tangent to the graph of a function is given by that function’s derivative and represents the instantaneous rate of change of the function with respect to change in the independent variable.
The equation of a straight line in the form:
y − y1 = m(x − x1)
where m is the slope of the line = 4/5 (According to question)
and (x1, y1) are the coordinates of a given point on the line.
compare slope-intercept form.
substituting values
(y+2) = (4/5) (x-3)
⇒ y = 4x/5 - 22/5
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Answer:
(9 x - 7 y) (9 x + 7 y)
Step-by-step explanation:
Factor the following:
81 x^2 - 49 y^2
Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.
81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:
(9 x)^2 - (7 y)^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):
Answer: (9 x - 7 y) (9 x + 7 y)