Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
Answer: b = 1850 - 120w
Step-by-step explanation:
Let w represent the number of weeks for which the books are purchased.
They are being purchased at a steady rate of 120 books per week. This means that the number of books purchased after w weeks would be 120w.
The total number of algebra textbooks that she had initially is 1850
If b represents the number of books left after w-weeks of sales, then the linear function that models the number of books left after w weeks would be
b = 1850 - 120w
For the given sequence we have the formula:
Sₙ = 1 + (n - 1)*2
The 50th square will have 99 shaded squares.
<h3 /><h3>
How many shaded squares are on the n-th square?</h3>
Here we have a sequence:
The first square has 1 shaded squares.
the second square has 3 shaded squares.
The third square has 5 shaded squares.
And so on.
Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:
Sₙ = 1 + (n - 1)*2
Where S is the number of shaded squares and n is the number of the figure.
Then the 50th square will have:
S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99
Learn more about sequences:
brainly.com/question/6561461
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Answer:
Step-by-step explanation:
An equation of a line is given 
, where m is the gradient or 
The rise indicates the change in value of y (vertical change in the graph).
The run indicates the change in value of x (horizontal change in the graph).
Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).
Substitute point 1 into the graph to get the constant c.
∴ The equation of the line is,
