Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
Answer:
Please read the answer below.
Step-by-step explanation:
1. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups in a table
Red pepper (teaspoons) 1/2 1 1 1/2 2 2 1/2 3 3 1/2 4 4 1/2 5
Tomato mix (cups) 2 4 6 8 10 12 14 16 18 20
2. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups writing a equation:
t = amount of tomato mix cups
r = amount of red pepper flakes teaspoons
As we can see in the table,
<u>t = 4r</u>
The actual inverse function is:

And the domain is [0, ∞).
<h3>
Where is the mistake?</h3>
Remember that for a given function f(x) with a domain D and a range R.
For the inverse function, f⁻¹(x) the domain is R and the range is D.
Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).
Then for the inverse function, which is:

(to check this, you must have that):

The domain will be [0, ∞) and the range x ≥ 3
If you want to learn more about inverse functions:
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Answer:im bored
Step-by-step explanation:
Answer: 1106.13 (2 decimal places)
Step-by-step explanation:
To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.
The formula for the area of a circle is πr^2 (pi x radius squared).
So when you put the numbers in the formula the area is πx11^2=380.1327111
Then to work out the area of the rectangle you would do base x height.
The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.
To find the area of the rectangle you do 22x33=726
So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.
726+380.1327111=1106.13 (2 decimal places).