Answer:
3x - 4y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Calculate the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = =
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = x + 3 ← in slope- intercept form
Multiply through by 4
4y = 3x + 12 or
3x + 12 = 4y ( subtract 12 from both sides )
3x = 4y - 12 ( subtract 4y from both sides )
3x - 4y = - 12 ← in standard form
Answer:12x+8
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
-20 and -40
quotient means divide one another
-20 / -40
= 20/40
= 2/4
= 0.5
I made these into tiny tiny steps, enjoy.
Answer:
2(x+8) = 10
x+8 = 5
x =- 3
Step-by-step explanation:
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
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Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).