Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0 [tex]\leq[/tex]x<2[tex]\pi[/tex]

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)  

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

Answer:

4xy exponent 7/2xy exponent 6

Answer:

Step-by-step explanation:

First expand the numerator by distributing in the 2 outside the parenthesis to get

[tex]\frac{16x^6y^4}{2x^6y}[/tex] and now, working on one thing at a time, we will divide:

16     x⁶     y⁴

2      x⁶      y    

I separated each set of like expressions to make it easier to see. First divide the numbers, 16 by 2:

8       x⁶      y⁴

        x⁶      y

the x's cancel out (divide to a 1):

8      y⁴

       y

and by the rules for dividing like bases, we will subtract the exponents, lower from upper to get, finally:

8y³

Answer:

184 ft^2

Step-by-step explanation:

in the picture

Answer:

I think the answer is 21

Step-by-step explanation:

The answer is 21 because we can simple reduce 26/39 = 2/3. And now that you have done that all we need to do is find what 14/w = 2/3 this is quite simple as we just have to mutiply the 3*7 to get 21 as your answer. I don't know if this is correct or not but this is my best answer.

Answer:

21

Step-by-step explanation:

14 : w = 26 : 39

w = 14 * 39 : 26

w = 21

Answer:

The answer would be B if its reffering to the photo and A if its reffering to the scale.

Answer:

4+2

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Answer:

Choice A. [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Turn the mixed numbers into improper fractions:

Flip the second term and multiply:

Simplify:

Answer:

A

Step-by-step explanation:

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

Answer:

B:

4 units right and six units up

Answer:

4y

Step-by-step explanation:

product means multiply

4y

Answer:

4y

Step-by-step explanation:

Answer:

c) 6

Step-by-step explanation:

18 divided by 3 is 6

30 divided by 5 is 6

Answer:

C: 6

Step-by-step explanation:

Answer:

B. $38.50

Step-by-step explanation:

The original price of item (before tax) is 100% of the price of the item since 100% means the whole amount.

The tax is 10% of the original price, so add 10% to 100% making it 110%.

The total price including tax is 110% of the original price.

We need to find 110% of $35.00.

To find a percent of a number, multiply the percent by the number.

110% of $35.00 = 110% * $35.00

Change the percent to a decimal by moving the decimal point two places to the left.

110% becomes 1.10 as a decimal

110% of $35.00 = 110% * $35.00 = 1.10 * $35.00 = $38.50

Answer: B. $38.50

Answer: just read

Step-by-step explanation:

So first you plot the points, then calculate how many units it takes from the point that is Sean’s house to his School. Show your work on that by drawing out your skip counting. Then you plot the rest of the points and fpro this calculation: the distance from Sean’s house to his school+ from his school to the grocery store. Then you calculate the distance (in units! ! ! Which means one box is one unit) : distance from Sean’s house to the school+ from school to the commmunity center. Then two calculations you made above you compare. So whichever one is greater is your answer for part b.

The domain is all of the x-values a function can have. The range is all of the y-values a function can have.

#50.

Domain: [-5, 10]

---The function starts at the x-value -5 and stops at the x-value 10.

Range: [-3, 5]

---The smallest y-value is -3 and the largest y-value is 5.

#51.

Domain: [-2, infinity)

---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.

Range: [0, infinity)

---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.

Hope this helps!

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]

The following equations could be used to find the price of a child's ticket,  3x + 2(2x) = 28, the correct option is B.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the cost of child ticket is $x

An adult ticket is twice the cost of a child's ticket.

Let the cost of adult ticket is $2x

The total amount Angela paid is $28 for two adult tickets and three children's tickets.

The equation that will be formed is

4x + 3x = 28

It can also be written as 3x + 2(2x) = 28.

To know more about Equation

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Answer:

x=5/3, and x=-1

Step-by-step explanation:

The absolute value sign makes anything inside of it positive.  So there are two possible x values for this problem. When we open the absolute value brackets we need to create two different equations. 3x-1=4, and 3x-1= -4. Solving these two equations we can find two possible values of x. x equals 5/3, and -1.

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are green in any season

3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.

Step-by-step explanation:

so sorry this is all i could find

Answer:

Option A is correct

Step-by-step explanation:

6 feet 2 inches = 74 inches

74 inches = [tex]6 \frac{1}{6} [/tex]feet.

Answer:

5

Step-by-step explanation:

12 - 7 = 5

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

[tex] - 0.7[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} ( - 1.4m + 0.4) [/tex]

[tex] = - 0.7m + 0.2[/tex]

Answer:

A = 24 in^2

Step-by-step explanation:

A = 1/2 bh

Let b = 8 and h = 6

A = 1/2 (8)(6)

A = 24 in^2

The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?

Given Data :

Height = 6 inches

Base = 8 inches

Formula for Area of traingle is :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \: \: \red{ \underline{ \red{ \overline{ \orange{ \boxed{ \pink{\frak{Area \: of \: Triangle = \frac{1}{2} × Base × Height }}}}}}}}[/tex]

So, putting the values of Base and Height we get

[tex] \leadsto \frak{Area = \frac{1}{2} × 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = \frac{1}{ \cancel2} × \cancel 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 4 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 24 \: {in}^{2} }[/tex]

Hence, the area of the traingle is 24 inches²

Answer:

(-2,-5)

Step-by-step explanation:

Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).

Hope this helps!

it most be eleven hundred

Answer:

original: 2x4

scale factor: 8

new dimensions:

2x8=16

4x8=32

(To get the new dimensions all you have to do is multiply the sides by the scale factor)

Step-by-step explanation:

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

According to the question

[tex]S_{1} =2\times4=8[/tex]

[tex]S_{2} =8S_{1} =8\times8=64[/tex]

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

Find out more information about scale factor here

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Answer:

C

Step-by-step explanation:

im pretty sure

Answer:

9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

f(x) = x^2+1

f(2) = 2^2+1 = 4+1 = 5

g(x) = 3x+1

g(3) = 3(3)+1 = 9+1 = 10

f(2)+g(3) = 5+10 =15

Answer:

15

Step-by-step explanation:

I'm just guessing though.