G(x) = -f(x)
All of the x values will remain the same but the y values will change to their opposites.
Answer:
The equation is y = - 3x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- The rule of the slope is
→ The table has 4 point: (1, 0), (2, -3), (3, -6), (4, -9)
→ We will choose two of them to find the slope
∵ The points (1, 0) and (2, -3) lie on the line
∴ = 1 and = 2
∴ = 0 and = -3
→ Substitute these values in the rule of the slope above
∴
∴ m = -3
→ Substitute the value of the slope in the form of the equation
∴ y = - 3x + b
→ To find b substitute x and y by the coordinates of a point on the line
∵ x = 1 and y = 0
∴ 0 = - 3(1) + b
∴ 0 = - 3 + b
→ Add 3 to both sides
∴ 0 + 3 = -3 + 3 + b
∴ 3 = b
∴ b = 3
→ Substitute the value of b in the form of the equation above
∴ y = -3x + 3
The equation is y = - 3x + 3
You take 4x +9x and you get 13x then you take 13 +3 and you get 16 so you have the equation 13x+16=120. then you subtract 16 from both sides and you end up with 13x=104 then divide 104 by 13 and you get x=8
Answer:
The inequality is -3 < x < 2
The number line is included
Step-by-step explanation:
To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;
-3 < x < 2
We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)
Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;
-4 -3 -2 -1 0 2 1 2 3 4 5
4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4