Answer:
x = 49
The equation does have a solution
Step-by-step explanation:
The sqrt of x = 7, does have a solution. Simply remove the radical, and raise each side by the index of the radical.
In more basic terms, what number has the sqrt of 7? 7^2 is equal to 49!
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
<h3>How to determie the equation of the cross-section?</h3>
The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
brainly.com/question/1497716
Answer:
-15
Step-by-step explanation:
-3 - 2(-6)
-3 -12
-15
Answer: Option D
Step-by-step explanation:
The y-axis of the table represents the range of the function.
Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
<u>Let's verify</u>
<h3>Neighborhood 1</h3>
<u>Data</u>
- 55, 55, 60, 60, 70, 80, 80, 80, 90, 120
<u>Mean</u>
- (55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75
<u>MAD</u>
- (20*2+15*2+5+5*3+15+45)/10 = 15
<h3>Neighborhood 2</h3>
<u>Data</u>
- 100, 110, 110, 110, 120, 120, 120, 140, 150, 160
<u>Mean</u>
- (100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124
<u>MAD</u>
- (24+14*3+4*3+16*3+16+26+36)/10 = 20.4
As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
