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alexdok [17]
3 years ago
15

Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?

Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

Step-by-step explanation:

We are given that

f(x)=tan(x)-\frac{2}{x}

g(x)=x^2+8

We have to find f(x)\times g(y)

To find the value of f(x)\times g(y) we will multiply f(x) by g(y)

g(y)=y^2+8

Now,

f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)

f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

Hence,

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

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The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
lorasvet [3.4K]

The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

5 0
3 years ago
Read 2 more answers
Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
7 0
3 years ago
The country of benin in west Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each ye
Oksanka [162]
The function would be the initial plus growth rate * # years

So: f(x) = 9.05 + 0.031(7)
Where x= # years
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2 years ago
How to rewrite√-49 -4 in complex number notation
stira [4]
Sqrt(49)*sqrt (-1) -4 = 7i-4
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3 years ago
Can someone help me with this problem?
coldgirl [10]

Answer:

147

Step-by-step explanation:

add the 2 sides together 19+14=33 then take 33 and subtract from 180. bc thats the rule btw. So 180-33= 147 hope this helps :))

5 0
3 years ago
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