To solve this, you need to know slope-intercept form;
Where mx is the slope and b is the y-intercept form.
Now, looking at the values you have been provided, you can just plug them into the formula.
Answer:
the answer is 104
Step-by-step explanation:
These are "composite" functions.
g(x+a) means insert (x+a) into g(x) to replace every x:
g(x+a) - g(x) = -5(x+a)^2 +4(x+a) +5x^2 - 4x
= -5(x^2 + 2ax + a^2) +4x +4a + 5x^2 - 4x
Now just Multiply and sum up the answer.
Answer:
The length of the segment AB is √48
Step-by-step explanation:
Given the two equations, the idea is to find the solution to the system
y = x² + 9
y = 2x² - 3
you can use the equality method to find the "x" and "y" of the solution.
x² + 9 = 2x² - 3 ⇒ x² - 2x² = -3 - 9 ⇒ -x² = -12 ⇒ x² = 12 ⇒ x = ±√12.
With this value we return to the original equations and replace it to find "y" values.
y = (±√12)² + 9 ⇒ y = 21
The solutions to the system are (-√12, 21) and (√12, 21). Now you need to find the distance between this points.
d= √[(x2-x1)² + (y2-y1)²] ⇒ d = √48.
The length of the segment AB is √48.
Hi!
<h3>We need to isolate x on both sides, and whatever we do to the equation we have to do to both sides. </h3><h3>First, add 8 to both sides. </h3>
2x - 8 + 8 = -6 + 8
2x = 2
<h3>Divide by 2 on both sides</h3>
2x/2 = 2/2
<u>x = 1</u>
<h2>The answer is x = 1</h2>
Hope this helps! :)
-Peredhel
