Answer:
So length of top of table is 3x-7 inches.
Step-by-step explanation:
Here we are given that the top of the table has a width that is given by 2x inches.
The area of the top is given by:
Now the top of the table is of the shape of rectangle and area of rectangle is given by:
where l is length of the table and w is width of the table.
Plugging the values of A and w in the formula we have:
Dividing by 2x,
l=3x-7 inches
So length of top of table is 3x-7 inches.
16) First solve like a normal equation.
3|x/9| - 1 = 2
3|x/9| = 3
|x/9| = 1
Now just separate into two equations:
x/9 = 1
x/9 = -1
So x = 9, -9
17) Solve like normal:
-4 - 2|b - 10| = -6
-2 |b - 10| = -2
|b - 10| = 1
Now just separate into two equations:
b - 10 = 1
b - 10 = -1
So then b = 11, 9
Answer:
c = 5
Step-by-step explanation:
We can find a, b, c by filling in values from the table into the equation:
17 = a(2²) +b(2) +c
32 = a(3²) +b(3) +c
53 = a(4²) +b(4) +c
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There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.
Subtracting the first equation from each of the other two, we get ...
15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations
36 = 12a +2b
Subtracting twice the first from the second gives ...
(12a +2b) -2(5a +b) = 36 -2(15)
2a = 6
a = 3
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Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".
Substituting this into 15 = ..., we get ...
15 = 5(3) +b
0 = b
And substituting for "a" and "b" in the first original equation gives ...
17 = 4(3) +c
5 = c
The value of c, the constant of the function, is 5.
The equation of best fit is 
.
. It means that the population, in millions, after 
years from 
is 
.
The slope of the line is 
which means population is increasing at the rate of per year.
Sum of 
Sum of 
Mean 
Mean 
Sum of squares (SSX) 
Sum of products (SP) 
Regression Equation 
It means that the population, in millions, after years from is .
From the equation,
the slope of the line is which means population is increasing at the rate of per year.
Learn more about line of best fit here:
brainly.com/question/14279419?referrer=searchResults
Answer:4800'
Step-by-step explanation:
It is 4800' because x = the number of seconds between the lightning and thunder and 1,200 is in feet. so, if there is four seconds between the time of the lightning and thunder then you can use the equation given f(x) or 1,200(x) to solve it. to do this you supplement the x with 4 which gives you 1,200(4) or the same as 1,200 · 4 = 4800ft.
