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

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We are given that

[tex]f(x)=tan(x)-\frac{2}{x}[/tex]

[tex]g(x)=x^2+8[/tex]

We have to find [tex]f(x)\times g(y)[/tex]

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

[tex]g(y)=y^2+8[/tex]

Now,

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

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

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

Hence,

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


Related Questions

13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O​

Answers

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

Pls help 20 points this question is for my friend

Answers

Answer:

750 cubic feet

Step-by-step explanation:

which graph represents the inequality x > 15

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Factor completely 4x^2 + 3x - 10.
A) (4x - 2)(x + 5)
B) (4x + 2)(x - 5)
C) (4x - 5)(x + 2)
D) (4x + 5)(x - 2)​

Answers

4x²+3x-10

= 4x² + 8x -5x - 10
= 4x (x+2) -5(x+2)
= (4x-5) (x+2)

Option C

Answer:

(4x-5)(x+2)

Step-by-step explanation:

Dara:240g
Brüt kütle:760g
Net Kütle:.....g
işlem:​

Answers

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

Whoever is awake I need help with math points and brainlest

Answers

Answer:

the first one or A. hope this helps.

Step-by-step explanation:

The area of the cirle is: | I
10 in

Answers

Answer:

Step-by-step explanation:

diameter = 10 in

radius = 5 in

area = π5² = 25π ≅ 78.5 in²

a=6
b=9
c=
the measure of c is?

Answers

The measure of c is 10.8
a^2+ b^2= c^2
So 6^2+ 9^2 = c^2
36+ 81 = c^2
117=c^2
c=10.8

Not sure if you’re supposed to be using the Pythagorean theorem or not though.

factor -4x+24-4x^2completely

Answers

Answer: 4(−x+2)(x+3)

Step-by-step explanation:

−4x+24−4x^2

−4x^2−4x+24

4(−x+2)(x+3)

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME WILL GIVE BRAILIST

Answers

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

The ocean is never moving ? is it Ture or false

Answers

Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Triangle ABC is shown below.
What is the cosine of angle B?

Answers

I think it’s b ?bbbbb

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

⅔n = 10
pls help me again

Answers

21.4588336899833357889
About 21.5 sorry if it’s wrong

Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency ecommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8.

Required:
a. Find the mean step-by-step.
b. Find the standard deviation step-by-step.

Answers

Answer:

a) mean =  11.1

b) Standard Deviation = 5.191

Step-by-step explanation:

Given the data in the question;

x = 5.2, 13.8, 8.6, and 16.8

sample n = 4

so;

            x            ( x - mean)²

          5.2             34.81

          13.8            7.29

          8.6             6.25

          16.8            32.49

∑        44.4            80.84

a) Mean

Mean = total sum of the sample divided by the sample size

mean = ∑x / n

we substitute

mean = 44.4 / 4

mean =  11.1

b)

Standard Deviation is the Square root of variance;

Variance = ∑(x-mean)² / n - 1

we substitute from the above table

Variance =  80.81 / 4 - 1

Variance =  80.81 / 3

Variance =  26.94667

now since Standard Deviation is the Square root of variance;

Standard Deviation = √Variance

Standard Deviation = √26.94667

Standard Deviation = 5.191

Find the total surface area of this cone, leaving your answer in terms of pi

Answers

Answer:

Surface area = 70π cm²

Step-by-step explanation:

Surface area = πr² + πrl

Surface area = (π × 5 × 5) + (π × 5 × 9)

Surface area = (25π) + (45π)

Surface area = 70π cm²

Prove: An odd times an odd equals an odd.

Answers

Answer:

4mn+2m+2n+1

Step-by-step explanation:

Hope I helped!

Answer: 4mn+2n+1

2(2mn+m+2)+1

Step-by-step explanation:

Find the pattern and use it to list the next two terms in the sequence.
-3,6,-28,72,-360,2160, ___ ,___

Answers

Answer:

Step-by-step explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

Help person right gets brainlist​

Answers

correct answer is = 3 17/28
brainliest?
P= 3 17/28
If its mixed number

P=3.60714285
If its need to be decimal

Just copy the answer from the pic

Simply the expression by combining like terms 6x+9+2x+4

Answers

8x+13 is the simplified version

In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person

Answers

1/10 because amongst 10 balls there is only one 10th ball there by making only one possible chance of getting ball no 10

find the area of a square plot of side 12 cm​

Answers

Answer:

area of a square

= side × side

= 12 × 12

=144cm^2

since it’s a square you do 12X12 which is 144

Factorise fully 18j + 30jk

Answers

Answer:


6j (3+5k)



I hope you like my answer

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

3(x-5)=6 What is the answer?​

Answers

Step-by-step explanation:

3(x - 5) = 6

x - 5 = 2 (divide 3 on both sides)

x = 7 (add 5 on both sides)

The solution is x = 7.

3(x-5)=6

multiply 3 by x and -5

3x-15=6

add 15 on each side

it cancels out on the left nd on the right u get 21

so it would be

3x=21

divide by 3 on each side

X=7

Check:

3(7-5)=6

3(2)=6

6=6

pls help :(
more than one answer btw ​

Answers

Answer:

A, C, E

Step-by-step explanation:

hope this helps!

Answer:

I think it is A, C, E

Step-by-step explanation:

Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?

Answers

Answer:

greatest common factor is 12xy² .

Step-by-step explanation:

12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?

Answers

Answer:

62.5%

Step-by-step explanation:

if they won 15 and lost 9 games then they played a total of 24 games (15+9).  Then you just divid the number of wins (15) by the total number of games they played (24).  SO, 15/24=0.652 or 62.5%

Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.

Answers

You can solve for the y-intercept by replacing x with 0 and solving for y.

y= x² + 8x + 12
y= (0)² + 8(0) + 12
y= 12

When x= 0, y= 12
(0, 12)

A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?

Answers

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

y=−2x+1
x−3y=11 find the solution using elimination.

Answers

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

Which of the following are accurate factors of 4x2 + 5.0 – 21 when multiplied together? Select the two correct answers.
(2 points)
(40 - 7)
0 (x + 2)
(52 -3)
0 (+3)

Answers

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21

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