Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Answer:
Step-by-step explanation:
The equation is x<= 5.
So 5 and all the numbers less than 5 would be an answer for x.
So you would put a closed dot on 5, because x can equal 5. Then put a line pointing right to all the numbers less than 5.
Answer:
80%
Step-by-step explanation:
To find percentage increase, we use the following formula:
Percentage Increase = 
Here
New means the latest value (which is 18 dancers)
Old means the previous value (which is 10 dancers)
The Multiplication by 100 is to convert the decimal answer to percentage.
So, we have:
New = 18
Old = 10
Now we substitute and find:
So, there was an increase of 80%
Answer:
C: 12.5
Step-by-step explanation:
The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.
First we can set up our equation
Next we can solve for x by multiplying by x and dividing by 
Answer:
what
Step-by-step explanation:
