8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Answer: Its B
Step-by-step explanation:
Answer:
17.84875
Step-by-step explanation:
5.45 x 3.275 = 17.84875
Answer:
Algebraic expression representing number of coffee B = 100-x
Step-by-step explanation:
An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.
Coffee blend is 100 pounds and x represent number of pounds of coffee A
Hence coffee B = 100-x
Algebraic expression representing number of coffee B = 100-x
Answer:
C. 
Step-by-step explanation:
{y = ¼x - 3}
{2x + 4y = 12
2x + 4[¼x - 3] = 12
2x + x - 12 = 12
3x - 12 = 12
+ 12 + 12
_________
3x = 24
__ __
3 3
[Plug this back into both equations above to get the y-coordinate of −1]; 
I am joyous to assist you anytime.
