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brilliants [131]
2 years ago
8

If f(x) and its inverse function, f(x), are both plotted on the same coordinate plane, where is their point of intersection?

Mathematics
1 answer:
Tcecarenko [31]2 years ago
7 0

Answer:

(2,2)

Step-by-step explanation:

The graph of a function and that of its inverse should be always symmetric around the line y = x (goes at 45 degrees and crosses the origin of coordinates).

Therefore any intersection of the graphs must lie on the line y = x, which forces the x value of the intersection point to be the same as the y-value.

The only option shown where x and y have the same numerical value is the third listed option : (2,2)

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1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
kari74 [83]

Answer:

5(d - 4)

Step-by-step explanation:

Entrance fee per head = d

Entrance fee for the 5 friends = 5*d = 5d

Booklet of ride ticket per head = 2.5d

Booklet of ride ticket for the 5 friends = 5(2.5d)

Meal ticket per head = d - 4

Meal ticket for the 5 friends = 5(d - 4)

Total amount paid altogether by the five friends = 5d + 5(2.5d) + 5(d - 4)

From this breakdown above, the total amount paid by the 5 friends for their meal tickets = 5(d - 4)

8 0
2 years ago
The coordinates of parallelogram PVWZ are P(0, 0), V(-p, q), and W(-p - r, q). Find the coordinates of Z without using any new v
Drupady [299]
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables. 
</span>

Vector WZ equals vector VP, which is (p, -q) 
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you. 

3 0
2 years ago
Read 2 more answers
What is the following product? (StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)
Crank

Answer:

The product results in: 6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}, which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

(\sqrt{12} +\sqrt{6} )(\sqrt{6} -\sqrt{10} )=\\=\sqrt{12*6} -\sqrt{12*10} +\sqrt{6*6} -\sqrt{6*10} =\\=\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}

and now, we extract as many factors we can from the roots to reduce them:

\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60} =\\=6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}

5 0
2 years ago
Read 2 more answers
A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and
Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

       l + w  = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.      

      l = 8 + w

       l - w  = 8 ft -----------------------------------eqn 2.      

eqn 1 + eqn 2

        2 l = 48

         l = 24 ft

Substituting

         24 + w = 40

         w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0
2 years ago
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The balance on a car loan after 4 years is $8,996.32. The interest rate is 5.6% compounding annually. What was the initial value
NISA [10]
To evaluate the initial value we use the formula:
A=P(1+r)^n
where
A=future value
P=principle amount
r=rate
n=time
thus plugging in our values we get:
8996.32=P(1+5.6/100)^4
solving for p we shall have:
8996.32=1.2435P
hence:
P=$7234.5
Thus the initial amount was $7234.5
5 0
2 years ago
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