The answer is 24.5
Remember to follow P.E.M.D.A.S
14+2+3(4)-(6.5-3)=
14+2+12-(3.5)=
28-(3.5)=
24.5
Hope it helps
Answer:
The answer is in the the attachment
Step-by-step explanation:
The question you posted was incomplete but i believe below is the complete question;
Let P2 denote the vector space of all polynomials with degree less than or equal to 2. (
a) Show that B = {1 + x + x 2 , 1 + 2x − x 2 , 1 − 2x − x 2} is a basis for P2.
(b) Find the coordinate vector of p(x) = 1 + 2x + 3x 2 relative to the basis B
The answer is explained in the attachments.
Answer:
![\bold{x_1=1\ ,\quad x_2=-\dfrac83}](https://tex.z-dn.net/?f=%5Cbold%7Bx_1%3D1%5C%20%2C%5Cquad%20x_2%3D-%5Cdfrac83%7D)
Step-by-step explanation:
![3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83](https://tex.z-dn.net/?f=3x%5E2%2B5x-8%3D0%5Cquad%5Cimplies%5Cquad%20a%3D3%5C%2C%2C%5C%20b%3D5%5C%2C%2C%5C%20c%3D-8%5C%5C%5C%5Cx%3D%5Cdfrac%7B-5%5Cpm%5Csqrt%7B5%5E2-4%283%29%28-8%29%7D%7D%7B2%5Ccdot3%7D%3D%5Cdfrac%7B-5%5Cpm%5Csqrt%7B25%2B96%7D%7D%7B6%7D%3D%5Cdfrac%7B-5%5Cpm%5Csqrt%7B121%7D%7D%7B6%7D%5C%5C%5C%5C%20x_1%3D%5Cdfrac%7B-5%2B11%7D%7B6%7D%3D1%5C%20%2C%5Cqquad%20x_2%3D%5Cdfrac%7B-5-11%7D%7B6%7D%3D%5Cdfrac%7B-16%7D6%3D-%5Cdfrac83)
Answer:
You will need 3 cups peanut butter to make 36 dogs treats.
Peanut butter Cup : The dog treats made = 1: 12
Step-by-step explanation:
12 dog treats = 1 cup
So, by UNITARY METHOD
1 dog treat = (1/12) cup
So, 36 dog treats = 36 x (1/12) cup = 3 cups
So, you will need 3 cups peanut butter to make 36 dogs treats.
If 1 cup = 12 Dog Treats
then 1 x 3 cup = 12 x 3 dog treats
or, 3 Cups = 36 dog treats
The ratio of the Peanut butter cup : The dog treats made = 1: 12