Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?
1 answer:
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Answer:
see the explanation and the attached figure
Step-by-step explanation:
Part 1) Linear
we have
This is the equation of the line in slope intercept form
The slope is positive and equal to m=1
The y-intercept is b=3
As the value of x increases the value of y increases too
As the value of x decreases the value of y decreases too
therefore
The graph in the attached figure
Part 2) Quadratic function
we have
This is a vertical parabola open upward with the vertex at origin
As the value of x increases the value of y increases too
As the value of x decreases the value of y increases
therefore
The graph in the attached figure
Part 3) Exponential function
we have
This is a exponential growth function
As the value of x increases the value of y increases too
As the value of x decreases the value of y decreases too
The initial value or y-intercept is 3
therefore
The graph in the attached figure
Answer:
B.) 113°
Step-by-step explanation:
In the isosceles trapezoid, angles T and S are congruent. Find the value of x:
Subtract 4x from both sides:
Add 38 to both sides:
Divide both sides by 3:
x is equal to 15. Now substitute the value of x into the one of the expressions:
or
The angles T and S are 67°.
The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:
Subtract their total from 360:
The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:
Angle R is 113°.
Done.
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.
For this case, what we are going to do is study each part separately.
Left diagram:
In this diagram you show three quarters of the hours.
We have then:
(3/4) * (12) = 9
Answer:
You teach 9 hours.
Right diagram:
In this diagram you teach half of the hours.
We have then:
(2/4) * (12) = 6
Answer:
You teach 6 hours
SEE ATTACHED IMAGE.
For this case, what we are going to do is study each part separately.
Left diagram:
In this diagram you show three quarters of the hours.
We have then:
(3/4) * (12) = 9
Answer:
You teach 9 hours.
Right diagram:
In this diagram you teach half of the hours.
We have then:
(2/4) * (12) = 6
Answer:
You teach 6 hours