$w(x)=k^2x^2-kx-2\\\\(x-3)\ is\ a\ factor\ w(x)\ then\ w(3)=0.\\\\Substitute:\\\\k^2\cdot3^2-k\cdot3-2=0\\9k^2-3k-2=0\\9k^2-6k+3k-2=0\\3k(3k-2)+1(3k-2)=0\\(3k-2)(3k+1)=0\iff3k-2=0\ \vee\ 3k+1=0\\3k=2\ \vee\ 3k=-1\\\\\underline{\underline{k=\frac{2}{3}\ \vee\ k=-\frac{1}{3}}}$

4 0

3 years ago

Read 2 more answers

A picture frame is 20 inches long and 7 inches tall. It is 1 inch wide on all 4 sides. What is the area of the picture frame? 26

jek_recluse [69]

The picture's length and width are 18 and 5. You subtract 2 instead of 1 because you are subtracting 1 on both sides of the frame.

The area of the picture is 90, and the area of the whole thing, picture and picture frame, is 20*7=140.

So, to find the area of just the picture frame, you subtract 90 from 140 to get 50in^2, which is your last answer choice.

4 0

3 years ago

Leah opens a savings account and deposits $250. She earns interest at a monthly rate of 0.4%. How much money will Leah have in h

PilotLPTM [1.2K]

Answer:

$251

Step-by-step explanation:

To get this amount, we simply find o.4% of 250.

That equals 0.4/100 × 250 = 1.

This means she would have earned an interest amounting to $1 after the first month.

The total amount of money in her account after the first month = 250 + 1 = 251

Hence, she would have an amount of $251 in her account after the first month.

5 0

4 years ago