if f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

Answer:  [tex]\sqrt{2}[/tex]

======================================================

Explanation:

Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,

[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]

Now rationalize the denominator

[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]

Which is the exact value of [tex]\sec(45^{\circ})[/tex]

The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option A

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]

⸻⸻⸻⸻

[tex]\text{Option \textbf{A} does not simplify into an integer.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Considering only this customer's premiums, deductible, and claims, the break-even period after which the customer could make a $10,000 claim for property damage without the insurance company suffering a loss is 15 months.

At this break-even period, the company will not make a profit or a loss.

Data and Calculations:

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15 ($10,000 - $1,000)/$600

This break-even period is computed by deducting the deductible from the claim that the customer makes, and then dividing the result by the monthly insurance premium.

Thus, the customer could make a $10,000 claim for property damage without the insurance company suffering a loss after 15 months' break-even period.  

Learn more about break-even here: https://brainly.com/question/22875945

Answer:

Below

Step-by-step explanation:

First I found the area of the triangle on the right

A = bh/2

A = (9)(4.5) / 2

A = 20.25 ft^2

Next, the area of the rectangle in the middle

A = lw

A = (7.5)(9)

A = 67.5 ft^2

And now the area of the right triangle on the left

A = bh/2

A = (5)(9) / 2

A = 22.5 ft^2

Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2

Hope this helps!

Answer:

Step-by-step explanation:

The supplement of the exterior angle is 180 - 75 = 105

In a cyclic quadrilateral (a four sides figure where all the vertices touch the circumference of a circle), the opposite angles are supplementary. Therefore <a = 180 - 105 = 75

But I think you already knew that.

Answer:

8^18

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

8^15÷8^−3

8^(15 - -3)

8^(15+3)

8^18

Answer:426m^2

Step-by-step explanation:

Answer:

y^3+9y^2+27y+27

Step-by-step explanation:

Step 1: Start by understanding FOIL. First. Outer. Inner. Last.

Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.

Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.

This simplifies to y^3+9y^2+27y+27

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

Answer:

28.

      megabyte- [tex]10^6[/tex]

      terabyte- [tex]10^{12}[/tex]

      gigabyte- [tex]10^9[/tex]

       For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.

29.

       The cube is 6×6×6   or    216 in. It would be 6³, because the 6 is multiplied 3 times.

30.

 a. 10

 b. 5120

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Question 28

megabyte: 10⁶

terabyte: 10¹²

gigabyte: 10⁹

Question 29

6³

Question 30

a. 20

b. 5,120

x + 20 = 72

x + 20 - 20 = 72 - 20

x = 52

Answer:

x=52

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

72 = 20+x

72-20 = 20+x-20

52 =x

Answer:

25

Step-by-step explanation:

product of 18 and -3=18*-3= -54

positive difference=52-29=23

(18x-3)+56+(52-29)

= -54 + 56 + 23

=25

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]

1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]

5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]

respuesta: 2 [tex]\frac{1}{2}[/tex]

Answer:

2x+1

Step-by-step explanation:

f(x) = x + 1

g(x) = 2x

f(g(x)) = Replace x in the function f(x) with the function g(x)

f(g(x)) = g(x) +1

         = 2x+1

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

Step-by-step explanation:

whole number with the occasional jump into rational numbers when a down like 2nd and 5 1/2 to go.

Answer:

0.0125x or x/80

Step-by-step explanation:

Salary: x dollars per year

To find the pay per month, we divide the annual pay by 12.

The monthly pay is x/12

15% of the first month's salary is

15% of x/12 = 0.15 * x/12 = 0.0125x = x/80

Answer: 0.0125x

Answer:

4

Step-by-step explanation:

1)

-2x - 5 = x - 17

-2x - 5 + 5 = x - 17 + 5

* cancel out 5 on each side of equal sign.

2)

-2x = x - 12

-2x - x = x - x - 12

* cancel out x on each side of equal sign.

3)

-3x = -12

-3x/ -3 = -12/-3

* cancel out -3x on each side of equal sign.

4) Simplify

x = 4

Hope this helps, good luck! :)

Have a great day!!

Answer:

x=4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -6-5)/(4-4)

  = -11/0

This means the slope is undefined

Then means it is a vertical line

Vertical lines are in the form

x = constant

The constant in this case is the x value of the points

x=4

Part A: 23

Part B: 13

Part C: Median for the males

Mean for the females

Part D: The day the movie premiered

Process to arrive at the above answers

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]

Part A: The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B: The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

∴ Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile

range located approximately in the middle between the max and the min

values with the median being close to the first quartile, therefore, the

mean will be a better measure of center as it will be located further from

the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

Learn more about box plots here;

https://brainly.com/question/16171899

https://brainly.com/question/20164121

https://brainly.com/question/17248599

Answer:

27 cubic meters

Step-by-step explanation:

For square, length and width is same.

3x3 = 9 square meters

3x3x3 = 27 cubic meters

Volume of a cube = length · width · height, or:

Volume of a cube = length³

We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:

√9 = ±3

(and in this case, you can't have negative measurements, so it's positive.)

Now, all we have to do is cube the side length, so:

3³ = 27.

If you have any questions, feel free to ask! :)

Answer:

B' - (3,1)

C' - (3,8)

D' - (6,-1)

Step-by-step explanation:

Answer:

First of all take lcm u get

4 + 3 / 12k = 1

7 = 12k

k = 7/12

ques solved

Answer:

k = 7/12 or approximately 1.71

Step-by-step explanation:

We first need to convert both fractions denominators to their LCM (Lowest Common Multiple)

Multiples of 4: 4, 8, 12, 16

Multiples of 3: 3, 6, 9, 12

12 is the LCM

Then we convert both fractions to have a denominator of 12. Remember, whatever you do to the numerator must be done to the denominator.

1/3 x 4/4 = 4/12

1/4 x 3/3 = 3/12

The equation is now: 4/12k + 3/12k = 1

Add up both variables to get: 7/12k = 1

Divide both sides by 7/12: (12/7)7/12k = 1(12/7)

k = 12/7 or approximately 1.71

Answer:

122

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior agnles

32+90 =x

122 =x

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]

[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]

Answer:

720kWh

Step-by-step explanation:

36/.05=720

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!