What is a simplified form of the expression 2(–x + 2) + 3x?
2 answers:
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Answer:
a) not proportional
b) proportional; k =
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
This is your answer and for the multiplication I gave it to you step by step
Answer:
Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.
it is given by: where a is the first term , n is the number of term and d is the common difference.
Given the series:
here, Common difference(d) = 5
First term(a) = 49
by definition we have;
For nth term
= 5n + 44
To write the series using summation notation for 14 terms
Summation symbol
The series for 14th terms is given by;
Answer:
r=56
Step-by-step explanation:
Since, r divided by 8 gives 7, if you do the inverse function(which is basically like the reverse of the question)
you can multiply 8 and 7 to find the r.
So 8 times 7 gives 56.
And to check you can do
which gives 7
You can tell me if my explanation is wrong. Thanks