Answer:
x² - 4x + 3 = 0
Step-by-step explanation:
given roots x = a and x = b then the corresponding factors are
(x - a) and (x - b)
the equation is then the product of these factors , that is
(x - a)(x - b) = 0
given
roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then
(x - 3)(x - 1) = 0 ← expand factors using FOIL
x² - 4x + 3 = 0
Answer: 6
Step-by-step explanation: look it up
Answer:
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Step-by-step explanation:
Original price is 499
Discount = original price * percent off
Discount = 499 * .18
=89.82
The sale price = original price minus the discount
sale price = 499-89.82
sale price = 409.18
Sales tax = sale price * tax rate
= 409.18 * 8.875%
=409.18*.08875
=36.314725
Rounding to the nearest cent
36.31
Final cost = sale price + sales tax
=409.18+36.31
445.49
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Answer:
The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .
Step-by-step explanation:
Given as :
The speed = s = 2000 ft per min
Now, ∵ 5280 feet = 1 miles
so, 1 feet =
miles
∴ 2000 feet =
× 2000 miles
i.e 2000 feet = 0.378 miles
<u>Again</u>
∵ 1 minute =
hour
So, The speed in miles per hour
s =
∴ s = 
i.e s = 2.268 miles per hour
Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer
Answer:
Area = 960 cm^2
Step-by-step explanation:
Perimeter (P) = 2 (l + w)
P = 2l + 2w
Let the length be 5x
Let the width be 3x
From the question, P = 128.
Therefore:
128 = 2l + 2w
Divide both sides by 2.
l + w = 64
Recall we said:
l = 5x
w = 3x
So then:
5x + 3x = 64
8x = 64
Divide both sides by 8
x = 64/8
x = 8.
Since x = 8
Length = 5x = 5*8 = 40cm
Width =3x = 3 * 8 = 24cm
Area of a RECTANGLE:
Area = length * width
Area = 40 * 24
Area = 960 cm^2