<span>x^2-7x+10=28
</span><span>x^2 - 7x - 18 = 0
(x - 9)(x + 2) = 0
x - 9 =0; x = 9
</span>x +2 =0; x = -2
answer
x = 9 , x = -2
It makes a rectangle if graphed.
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Answer:
Step-by-step explanation:
Given that in a survey of 100 people who had recently purchased motorcycles, data on the following variables were recorded:
a. Gender of purchaser
b. Brand of motorcycle purchased
c. Number of previous motorcycles owned by purchaser
d. Telephone area code of purchaser
e. Weight of motorcycle as equipped at purchase
a) Gender is categorical
b) Brand is categorical
c) This is discrete numerical
d) This is numerical
e) Weight is continuous numerical
The mode is the number that occurs the most, in this case, 78 appears 3 times which means 78 is the mode
We know: length of a rectangle is 7m less than three times the width.
So let's set the length to l, width to w.
And we can get that l = 3w-7.
We also know that the area of the rectangle is 66 m^2.
Thus, l*w= 66.
So we have:
function 1: l=3w-7
function 2: l*w=66
plug function 1 to 2.
(3w-7)*w=66
3w^2-7w-66=0
w=6 and -11/3.
And the width of a rectangle can not be negative.
So: w=6.
Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.
l=3*6-7=11.
So: the width of the rectangle is 6, and the length of the rectangle is 11.
