What is the value of x in 4x + 11 = 3x +1
1 answer:
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Hey there!
This seems like a algebraic expression
SO,
Remember: negative and negative = positive
positive and positive = positive
positive and negative = negative
negative and positive = negative
In this problem we will be doing negative and negative so that means our answer will be a negative
Firstly, lets line up our decimals to solve this problem (once when you do that , you can solve it easier)
Answer:
Good luck on your assignment and enjoy your day
~
This seems like a algebraic expression
SO,
Remember: negative and negative = positive
positive and positive = positive
positive and negative = negative
negative and positive = negative
In this problem we will be doing negative and negative so that means our answer will be a negative
Firstly, lets line up our decimals to solve this problem (once when you do that , you can solve it easier)
Answer:
Good luck on your assignment and enjoy your day
~
Firts we need to find the rate of change, or in other words, the slope of the line.
Question 1:
a)
For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)
The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)
b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:
In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:
c) "The rate of change in Gary's salary is $1340 per year."
Question 2:
a) The slope intercept form of a line is:
Where:
y is the output of the function.
x is the input of the function. (we provide the function with a value for x and the function give us a value of y)
m is the slope of the line. We calculate it in question 1.
x1 is the x coordinate of a point we choose.
y1 is the y-coordinate of the same point of x1.
In this case, we know:
m = 1340;
And we can take the point (0, $58,550), thus:
x1 = 0
y1 = 58,550
b) Now we need to use all this values and use the slope-intercept form:
And solve to get:
Question 3:
a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:
B) The salary of Gary in 13 years will be $75,970.
Answer:
- check below for explanation.
explanation:
➢ Given coordinates:
- A( 1, 3 )
- B( 1, 6 )
- C( 4, 6 )
- D( 5, 2 )
➢ after a dilation with a scale factor of 1/2:
- A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
- B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
- C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
- D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)
➢ Plot the after dilation coordinates on the graph:
- check the image below:
