Answer: x = 8
Step-by-step explanation:
This is a very, very, very simple algebra problem. I assume you know the basics of algebra.
First, move 8 to the other side:
3x = 24
divide by 3 on both sides
x = 8
There! Would it kill you to give me a quartic question to spice my life up?
Answer:C
Step-by-step explanation: When a table represents a nonlinear function, the rate of change is not constant. A wouldn't be the answer because the rate of change is always +10 (you would add 10 to get from -9 to 1; you would add 10 to get from 1 to 10) . It wouldn't be B because the rate of change is always -2, and the rate of change for D is always +3. For C, however, the rate of change is not constant all the way through (to get from 0 to 6, you would add 6, but to get from 6 to 16 you add 10).
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = 
.
Therefore, the slope of the line perpendicular to the line given = 
because 
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
Again here we're using like terms
a) -2x² + 12x² = 10x² (they have the same term that's why I grouped them together)
-4x + 2x = -2x
13 - 25 = -12
So the final answer is 10x² - 2x -12
b) 7x² - (-7x²) = 7x² + 7x² or 14x²
4x - (-3x) = 4x + 3x or 7x
-26 - 15 = -41
The final answer to this one is 14x² + 7x - 41
