9514 1404 393
Answer:
F. x ≤ -5
Step-by-step explanation:
Translating the diagram to more conventional symbols, we have ...
4x +12 ≤ -8
4x ≤ -20 . . . . . . . subtract 12 from both sides
x ≤ -5 . . . . . . . . . divide both sides by 5
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:
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Answer:
Option C. is nonlinear.
There is no specified degree in option C's equation, so it is impossible for it to be a linear equation.
Alright so I got A=4, B=5 and C=9
A B C
+ A C B
----------
C B A
459
+ 495
--------
954
Answer:
c. (x^2+1)(x^2+a)-a = x^2(x^2+a+1)
Step-by-step explanation:
You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.
(x^2+1)(x^2+a)-a
= x^2(x^2 +a) +1(x^2 +a) -a
= x^4 +ax^2 +x^2 +a -a
= x^4 +ax^2 +x^2
= x^2(x^2 +a +1) . . . . . matches choice C