Answer Answer Answer Answer
Answer:infinite both can e simplifies
Step-by-step explanation:
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =

Check your work by plugging in

for x and then

.

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So,
x is
and 
.
Answer:
r=28
Step-by-step explanation:
36/42 = 24/r (determine the defined range)
36/42 = 24/r , r ≠ 0 ( Reduce the fraction)
6/7 = 24/r (cross multiply)
6x = 168 ( divide both sides)
r=28 , r ≠ 0
Given the table below comparing the marginal benefit Lucinda gets from
Kewpie dolls and Beanie Babies.
![\begin{tabular} {|p {2cm}|p {2cm}|p {2cm}|p {2cm}|} \multicolumn {4} {|c|} {Lucinda's Kewpie Doll and Beanie Baby Marginal Benefits}\\[1ex] \multicolumn {2} {|c|} {Kewpie Dolls}&\multicolumn {2} {|c|} {Beanie Babies}\\[1ex] 1&\$15.00&1&\$12.00\\ 2&\$12.00&2&\$10.00\\ 3&\$9.00&3&\$8.00\\ 4&\$6.00&4&\$6.00\\ 5&\$3.00&5&\$4.00\\ 6&\$0.00&6&\$2.00\\ \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7C%7D%0A%5Cmulticolumn%20%7B4%7D%20%7B%7Cc%7C%7D%20%7BLucinda%27s%20Kewpie%20Doll%20and%20Beanie%20Baby%20Marginal%20Benefits%7D%5C%5C%5B1ex%5D%0A%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BKewpie%20Dolls%7D%26%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BBeanie%20Babies%7D%5C%5C%5B1ex%5D%0A1%26%5C%2415.00%261%26%5C%2412.00%5C%5C%0A2%26%5C%2412.00%262%26%5C%2410.00%5C%5C%0A3%26%5C%249.00%263%26%5C%248.00%5C%5C%0A4%26%5C%246.00%264%26%5C%246.00%5C%5C%0A5%26%5C%243.00%265%26%5C%244.00%5C%5C%0A6%26%5C%240.00%266%26%5C%242.00%5C%5C%0A%5Cend%7Btabular%7D)
<span>If
lucinda has only $18 to spend and the price of kewpie dolls and the
price of beanie babies are both $6,
Lucinda will buy the combination for which marginal benefit is the same.
Therefore, Lucinda will buy </span><span>2 kewpie dolls and 1 beanie baby,</span><span>
if she were rational.</span>