Brainliest if you are correct!! Find the domain of the graphed function.
2 answers:
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Solution is not extraneous, x=1 is correct answer
Step-by-step explanation:
We need to solve the equation and find value of x.
Solving:
So. Value of x = 1
Now checking if solution is extraneous or not
Solution is extraneous if value of x doesn't satisfy the given equation.
Checking: putting x=1 in the equation
Since x=1, verifies the given equation so, x=1 is not extraneous solution
Solution is not extraneous, x=1 is correct answer
Keywords: Solving equations and finding extraneous roots
Learn more about Solving equations and finding extraneous roots at:
#learnwithBrainly
The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.
In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have
and you want
Put everything together, and you have
Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:
We know that
</span>
find the residuals value
point 1) <span>(2, 94.5)
</span>yˆ=−6x+105.7
for x=2
Observed value=94.5
Predicted value=-6*2+105.7-----> 93.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[94.5-93.7]----> 0.8-----> 1
point (2,1)
point 2) <span>(3, 89)
</span>yˆ=−6x+105.7
for x=3
Observed value=89
Predicted value=-6*3+105.7-----> 87.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[89-87.7]----> 1.3-----> 1
point (3,1)
point 3) <span>(4,80)
</span>yˆ=−6x+105.7
for x=4
Observed value=80
Predicted value=-6*4+105.7-----> 81.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[80-81.7]----> -1.7-----> -2
point (4,-2)
point 4) <span>(6, 71)
</span>yˆ=−6x+105.7
for x=6
Observed value=71
Predicted value=-6*6+105.7-----> 69.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[71-69.7]----> 1.3 -----> 1
point (6,1)
point 5) <span>(7, 63)
</span>yˆ=−6x+105.7
for x=7
Observed value=63
Predicted value=-6*7+105.7-----> 63.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[63-63.7]----> 0.7 -----> 1
point (7,1)
using a graph tool
<span>graph the residual plot for the data set.
the points are
</span>(2,1) (3,1) (4,-2) (6,1) (7,1)
see the attached figure
The residual value is the observed value minus the predicted value.
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]
where
Predicted value.--> the predicted value given the current regression equation
<span>Observed value. --> The observed value for the dependent variable</span>
find the residuals value
point 1) <span>(2, 94.5)
</span>yˆ=−6x+105.7
for x=2
Observed value=94.5
Predicted value=-6*2+105.7-----> 93.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[94.5-93.7]----> 0.8-----> 1
point (2,1)
point 2) <span>(3, 89)
</span>yˆ=−6x+105.7
for x=3
Observed value=89
Predicted value=-6*3+105.7-----> 87.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[89-87.7]----> 1.3-----> 1
point (3,1)
point 3) <span>(4,80)
</span>yˆ=−6x+105.7
for x=4
Observed value=80
Predicted value=-6*4+105.7-----> 81.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[80-81.7]----> -1.7-----> -2
point (4,-2)
point 4) <span>(6, 71)
</span>yˆ=−6x+105.7
for x=6
Observed value=71
Predicted value=-6*6+105.7-----> 69.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[71-69.7]----> 1.3 -----> 1
point (6,1)
point 5) <span>(7, 63)
</span>yˆ=−6x+105.7
for x=7
Observed value=63
Predicted value=-6*7+105.7-----> 63.7
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE
so
RESIDUAL VALUE=[63-63.7]----> 0.7 -----> 1
point (7,1)
using a graph tool
<span>graph the residual plot for the data set.
the points are
</span>(2,1) (3,1) (4,-2) (6,1) (7,1)
see the attached figure