In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6
Answer: (6,-7)
Answer:
x = -1
Step-by-step explanation:
Given: ![f(x) = - 3x + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%203x%20%20%2B%203)
Solve for x, When: ![f(x) = 6](https://tex.z-dn.net/?f=f%28x%29%20%3D%206)
Step by step:
![- 3x + 3 = 6](https://tex.z-dn.net/?f=%20-%203x%20%2B%203%20%3D%206)
![- 3x = 6 - 3](https://tex.z-dn.net/?f=%20-%203x%20%3D%206%20-%203)
![- 3x = 3](https://tex.z-dn.net/?f=%20-%203x%20%3D%203)
![x = 3 \div - 3](https://tex.z-dn.net/?f=x%20%3D%203%20%5Cdiv%20%20-%203)
![\boxed{\green{x = - 1}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7Bx%20%3D%20%20-%201%7D%7D)
Answer:
12¾
Step-by-step explanation:
x - ¾ = 12
x = 12 + ¾
c = 12¾ or 12.75
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.