Answer:
Option D : $780 is the correct answer.
Step-by-step explanation:
Given expression is:
E = $500 + $7x
We will put all the values of given options to check.
A. Putting 430 in given expression
430 = 500 + 7x
430 - 500 = 7x
-70 = 7x
As the number of items sold cannot be negative, therefore, this option is not correct.
B. 530 = 500 + 7x
530 - 500 = 7x
30 = 7x
x = 4.3 (By dividing both sides by 7)
Which is not a whole number.
C. 680 = 500 + 7x
680 - 500 = 7x
7x = 180
x = 25.71
Which is also not a whole number.
D. 780 = 500 + 7x
780 - 500 = 7x
280 = 7x
7x = 280
x = 40
Which is a whole number.
Hence,
Option D : $780 is the correct answer.
x = -16 or x = 5
Solution:
Given polynomial:
To find the roots of the polynomial.
Split the middle term 11x.
11x = 16x - 5x
Take the x common in first 2 terms an -5 common in next 2 terms.
Take (x + 16) common in both terms.
x + 16 = 0 or x - 5 = 0
x = -16 or x = 5
Hence x = -16 or x = 5.
Answer:
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Step-by-step explanation:
▪Picture 1. x = 28
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▪Picture 2. I don't know what in trying to solve.
▪Picture 3.
•ABC = 50
•DEF = 95
•GHI = 65
•JKL = 55
▪Picture 4. I dont know how to do that
Answer:
Write an inequality that represents the condition based on the number of liters of air and water.
35A+25W>1000
and the following inequality represents the condition based on the number of Joules of energy:
0.8A+1.3W<170
Step-by-step explanation:
Answer:
2^60.
Step-by-step explanation:
You can do this using deMoivres theorem.
First convert to Polar form:
(-1+i(root 3))^60
r = √((-1)^2 + (√3)^2)
= √(1 + 3)
= 2.
So sin Ф = √3/2
Ф = 2π/3 - as the angle is in the second quadrant ( real part is -1)
So in polar form we have:
[2(cos2π/3 + i sin2π/3 )]^60
Bu de Moivres theorem this is
2^60(cos2π/3* 60 + i sin2π/3* 60)
= 2^60(cos(120π/3) + i sin(120π/3)
= 2^60(cos40π + i sin 40π)
= 2^60(1 + i*0)
= 2^60.
