Answer:
21
Step-by-step explanation:
;)
Answer:
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False
Step-by-step explanation:
<em>Let us explain the reflection about the axes</em>
- If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign
Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)
- That means reflection about the x-axis change the sign of y
- y = f(x) → reflection about x-axis → y = -f(x)
- If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign
Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)
- That means reflection about the y-axis change the sign of x
- y = f(x) → reflection about y-axis → y = f(-x)
<em>Now let us answer our question</em>
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.
It is False because reflection about x-axis change sign of y
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.
It is False because reflection about y-axis change sign of x
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis
Answer:
The function is polynomial with the following characteristics
Degree: 5 and leading coefficient: -13.
Step-by-step explanation:
You can see the explanation in the image.
I will like to mention that the question is a little obscure, and the explanation applies for the following function:
You always have to choose the highest power of x, in order to find the leading term.
Let the number of ride tickets = x tickets.
And the total cost is given by y.
Fair charges $1.25 per ticket for the rides.
Johnny bought = 25 tickets.
Therefore, cost of 25 tickets @ $1.25 per ticket = 25 × 1.25 = $31.25
Total amount spent at the fair = $43.75.
Fair admission charge = Total amount spent - Cost of 25 tickets = 43.75 - 31.25 =$12.50.
Therefore, total cost of the fair = Fix fair admission charge + total cost of x number of tickets @1.25 each.
y = 12.50 + 1.25x.
Therefore, y = 12.50 + 1.25x is the linear equation that can be used to determine the cost for anyone who only pays for x ride tickets and $ 12.50 fair admission.
Y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b
b = 0
the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4
y = 4x
