Answer:
216x^9y^12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,

p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer:
Firstly need to understand the questions.
If 15 men working 10 days, They earn 500.
If 12 men working 14 days, how much they will earn?
Step-by-step explanation:
560
Solution:
15 men working for 10 days =500
1 man working for 1 day = 500/(10*15) =10/3
Now 12 men working for 14 days = 12*14*10/3 =560.
I am pretty sure that answer is right.
Thank you :)
Answer:
<em>The salesperson's commission for this month is $3,803</em>
Step-by-step explanation:
<u>Percentages</u>
Let's call x to the sales volume, not including commission.
The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x
We are given this total invoice, thus:
1.0825x = $49,900
Dividing by 1.0825:
x = $46,097
The salesperson's commission is
0.0825*$46,097=$3,803
The salesperson's commission for this month is $3,803
Answer:
The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .
Step-by-step explanation: The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .