Step-by-step explanation:
Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+
1
y
=2
(4) x+
1
x
=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m3
ANSWER:
(1) x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(2) y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
(3) y2+
1
y
=2
⇒y3+1=2y
Only one variable y.
Maximum index = 3
So, it is not a quadratic equation.
(4) x+
1
x
=-2
⇒x2+1=-2x
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(5) (m + 2) (m – 5) = 0
⇒m2-3m-10=0
Only one variable m.
Maximum index = 2
So, it is a quadratic equation.
(6) m3 + 3m2 – 2 = 3m3
Only one variable m.
Maximum index = 3
So, it is not a quadratic equation.
Answer:
The answer is, 8.5
Step-by-step explanation:
1.25×8=10
10-1.5=8.5
The residual plot does not show a linear model and the estimated GPA of a student who studies for 15 hours a week is 3.17
<h3>How to interpret the residual plot?</h3>
The figure (1) represents the residual plot.
In the residual plot of a linear model, the line of the plot is represented by a horizontal line
From the figure, the line of the plot is not an horizontal line.
Hence, the residual plot does not show a linear model
<h3>The estimated GPA</h3>
The number of hours is given as:
x = 15 hours
The regression line is given as:
y = 0.134x + 1.16
Substitute 15 for x
y = 0.134 * 15 + 1.16
Evaluate
y =3.17
Hence, the estimated GPA of a student who studies for 15 hours a week is 3.17
Read more about regression equations at:
brainly.com/question/25226042
#SPJ1
Answer:
x=5
Step-by-step explanation:
So first you would subtract 2x from both sides to get:
1x = 5
Then you divide both sides by 1:
x = 5
Answer:
12.7
Step-by-step explanation:
Mean is total/the amount of numbers
Total: 11+14+11+5+17+28+3=89
Amount: 7
89/7=12.7142857
