Answer:
f(3) = g(3)
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Coordinate Graph
- Coordinates (x, y)
- Solving systems of equations by graphing
- Functions
- Function Notation
Step-by-step explanation:
According to the graph, we see that both lines intersect at <em>x</em> = 3. Therefore, that means both lines at that <em>x</em> point will have the same <em>y</em> value. Both f(3) and g(3) would equal 6, leading us to the answer of f(3) = g(3).
Answer:
3.62
Step-by-step explanation:
I used a calculator. But on the bottom, it says the rounded number should only have 3 digits. The real answer is 3.622580645. But since I rounded the answer would be 3.62.
Hope this helps!
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Y = 9x - 5...the slope here is 9...a parallel line will have the same slope.
y = mx + b
slope(m) = 9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = 9(5) + b
-4 = 45 + b
-4 - 45 = b
-49 = b
so ur parallel line is : y = 9x - 49
y = 9x - 5...slope is 9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/9.
y = mx + b
slope(m) = -1/9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = -1/9(5) + b
-4 = -5/9 + b
-4 + 5/9 = b
-36/9 + 5/9 = b
- 31/9 = b
so ur perpendicular line is : y = -1/9x - 31/9
I think you should divide because there is a HINT it gives you the total so divide 5[185
