W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is 
, where 
is the base. In our problem, 
, so our parent function here is 
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where 
in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function 
get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.
What is (41 x 24) = 984
The largest 3-digit number is 999.
999 divided by 24 is 41.625 .
To say that another way: When you have a bucket with room for 1,000 in it, you can fit 24 into it 41 times, with some space left over … but not enough to squeeze in another 24.
So the largest number less than 999 that can fit some 24s into it with no space left over is (41 x 24) = 984 .
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Brainly, thank you, rating are all appreciated! Miss Hawaii : )
I think the value of a is 6 because if 6a=36 then 36 divided by 6 is 6
5a - 5 = 10a
-5 = 5a
a = -1
