Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
Answer:
50m²
Explanation:
first, we have to find the length and width of the backyard. since 4cm represents 5m, we know that the real width of the backyard is 5m.
as for the length of the backyard, 8cm is double of 4cm so we can also double 5m to get 10m.
now, we can find the area by taking 5m × 10m = <u>50m²</u>.
i hope this helps! :D
Answer:
first, how many cups in a gallon. 4 cups/quart, 4 quarts/gallon- 16 cups per gallon
144/16= 9 gallons
Answer:
Step-by-step explanation:
First we know triangle WXY is an equilateral which means all its angles are 60 degrees.
Next we know triangle WZY is an isosceles so it has 2 angles that are equal to each other.
Since angle Z is an obtuse angle. We can calculate the other angles which we will assume are equal because 138+138 is greater than 180 degrees.
180-138 = 42
42/2 = 21 <-- divide by 2 because we know we're looking for 2 angles
For the angles of WXY.
60-21 = 39
Therefore
Angle I = 60
Angle 2 = 39
Angle 3 = 21
Angle 4 = 39
Angle 5 = 21
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
= (1/5) * 72.60
= 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
= 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
= 696.96/100
= 6.969
= 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
= 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.
