Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
95
did u mean a whole number or in a percent ??
Answer:
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
Step-by-step explanation:
1. Let's calculate the 20% discount price Jeanette received:
75 - 0.2 * 75 = 75 - 15 = $ 60
The discounted price is $ 60
2. Let's calculate the 10% service fee to the discounted price:
60 + 0.1 * 60 = 60 + 6 = $ 66
The price including the service fee is $ 66
3. Finally, let's calculate the less percentage than the original price:
Let's use the Direct Rule of Three, this way:
Price Percentage
75 100
66 x
**************************
75x = 66 * 100
75x = 6,600
x = 6,600/75
x = 88
Less percentage = 100 - 88 = 12%
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
Answer:
90% increase
Step-by-step explanation:
38-20 To find the increase in the wolves.
Then, you have to divide by the original amount. You will get 0.9
Multiply by 100 to get the percentage
You will get 90%
The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
<h3>The key features of the function?</h3>
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
brainly.com/question/27831985
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