All of them are 3.14
I got them all right on I ready :)))
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
f(1/2) = 0
![2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\](https://tex.z-dn.net/?f=2%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B3%7D-p%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B2%7D-2q%2A%5Cdfrac%7B1%7D%7B2%7D%2Bq%3D0%5C%5C%5C%5C2%2A%5Cdfrac%7B1%7D%7B8%7D-p%2A%5Cdfrac%7B1%7D%7B4%7D-q%2Bq%20%3D%200%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dp%20%3D0%5C%5C%5C%5C%5BMultiply%20the%20entire%20equation%20by%204%5D%5C%5C%5C%5C4%2A%5Cdfrac%7B1%7D%7B4%7D-4%2A%5Cdfrac%7B1%7D%7B4%7Dp%3D0%5C%5C%5C%5C)
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
Answer:
D
Step-by-step explanation:
Every small block represents a hundredth.
0.54
5 tenths , 4 hundredth
There are 3 of these,
So,
15 tenths and 12 hundredth
12 hundredths = 1 tenth and 2 hundredths
Making it 16tenths and 2 hundredths
= 1.62
(16 tenths = 1 whole and 6 tenths)
Real numbers help us to count and to measure out quantities of different items. So for instance when you ask your partner how many slices of toast he or she wants for breakfast, you are using real numbers when they reply with their answer.
