10.05-8.9=1.15. Rosa threw it 1.15 meters farther than Meghan
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.
1/3^5
When multiplying exponents you just add them. X^a x X^b = X^a+b
If you have a negative exponent, you flip it to be the denominator (if originally numerator) or numerator (if originally denominator.
So, 3^-5 = 1/3^5
You'll be paying less for the tables because you're ordering fewer tables: 20 instead of 25.
Find the unit, after-tax price of a table:
$1,706.25
--------------- = $68.25 per table
25
Then, the total that must be paid to purchase 20 tables is
20($68.25/table) = $1,365
