Answer:
When we have a discount of X% of the original price, the new price is calculated as:
New price = (original price) - (original price)*(X%/100%)
In our case, let's define:
P = original price of the fishing pole
f = price of the fishing pole after the discount
X% = 20%
Then the equation for the price of the fishing pole is:
f = P - P*(20%/100%) = P - P*0.2 = P*(1 - 0.2) = P*0.8
f = 0.8*P
This means that the price after the discount is 0.8 times the original price.
By <span>(x + 5/x^2 + 9x + 20) you apparently meant the following:
x+5
----------------------
x^2 + 9x + 20
and by
</span><span>(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4
Please use additional parentheses for clarity.
Dividing,
</span> x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4
Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is
(x+5)(x+4)
------------------------- = 1 This is true for all x, so there are no exclusions.
(x+4)(x+5)
Answer:
C
Step-by-step explanation:
The exponent is negative so you put the number under 1 with the exponent positive
If you would like to find the inequality to determine the number of full-time employees Tom must schedule, you can calculate this using the following steps:
n ... the number of full-time employees
260 <= 20 + n * 40
260 - 20 <= n * 40
240 <= n * 40
n >= 240/40
n >= 6 full-time employees
The correct result would be at least 6 full-time employees.
Dimensions of rectangle = 12 + x and 14 + x
(12 + x) (14 + x) = 288
x^2 + 26x + 168 = 288
x^2 + 26x - 120 = 0
(x + 30) (x - 4) = 0
x=-30, x =4
since 4 is positive
the dimensions increased by 4 feet
check the answer
12+4 = 16
14 +4 = 18
18*16 =288