<span>The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.</span>
Alright, let's factor this to get the answer.
3k^2-10k+7
To find the factors, we want to think "What will add up to -10, and multiply to (+)7?"
Because the leading coefficient is 3, we know that we can take one factor of 7 and multiply it by 3.
Thus, this factors to
(3k-7)(k-1)
(if you FOIL it it should come out to be the original equation)
From this, set both of those [(3k-7) and (k-1)] equal to zero and solve
3k-7=0
3k=7
/3
k=7/3
or
k=1
By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope.
By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
1 meter = 3 feet = 36 inches... so the answer would be B. 36 in
The final price (what it is selling for) is $796.40
The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.
We need to find the original price.
We write this as an equation
The original price *110% = final price
This is because the original price is itself (100%) added with 10%
Plug in the known final price
Original Price * 110% = 796.40
Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.
Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)
110% = 1.1
So it is now
Original price *1.1 = 796.40
Divide both sides by 1.1 to isolate our unknown, the original price
Original price = $724
