2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
First we must change these numbers to improper fractions:
So then we set it up:
÷ 
When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:
Then we solve:
Then if we divide the numerator and the denominator by 9, we get:
or, in mixed-number form, 
.
Answer:
Ordinary Least Square (OLS) for the multiple regression model involves selecting parameters of a straight line function that will minimize <u>the sum of the squares of the variance in the given dataset and those forecasted by the straight-line function.</u>
Cheers
Answer:
The numbers of grooming visits for which James and Bradly would charge the same amount is 2
Step-by-step explanation:
Let
w -----> the numbers of grooming visits
y ----> the charge in dollars
we know that
<em>James</em>
----> equation A
<em>Bradly</em>
----> equation B
equate equation A and equation B
Solve for w
therefore
The numbers of grooming visits for which James and Bradly would charge the same amount is 2
