50 Points! Multiple choice algebra question. Determine which pair of functions are inverse functions. Photo attached. Thank you!

Answer:

a

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

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

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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Answer:

11

Step-by-step explanation:

Do kcf (keep,change,flip)

First, covert 2 3/4 into an improper fraction

Then after you do that you get 11/4

so you do the equation 11/4 ÷ 1/4

when you do kcf it would be 11/4 × 4/1=

11/4×4/1=44/4 simplify divide both by 4 = 11

Answer:

17:53=5:53pm

Step-by-step explanation:

Answer:

The graph at the bottom left in your group of possible answers.

Step-by-step explanation:

Notice that the original given graph corresponds to the equation:

\(y=2x+1\)

since the line's slope is 2/1 = 2 and the y-intercept is at the point (0, 1).

So if one modifies the equation multiplying the current slope by 1/2, and the y intercept increased by 3 units, Then the new function would be:

\(y=x+4\)

A line of slope 1 and y-intercept at (0, 4)

Notice that the graph at the bottom left in your possible answers is representing such function.

Answer:

Answer Y: or Bottom Left of Given Answers

Step-by-step explanation:

Answer:

\(x^4-12x^3+54x^2-108x+81\)

Step-by-step explanation:

We have been given the following binomial expansion for (a + b)⁴:

\(\boxed{(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4}\)

To use this to expand and simplify (x - 3)⁴, first identity the values of a and b:

Substitute the values of a and b into the expansion, and simplify:

\(\begin{aligned}(x-3)^4&=x^4+4x^3(-3)+6x^2(-3)^2+4x(-3)^3+(-3)^4\\\\&=x^4+4x^3(-3)+6x^2(9)+4x(-27)+81\\\\&=x^4-12x^3+54x^2-108x+81\end{aligned}\)

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

AMEN YOU PREACH!!!!1

Step-by-step explanation:

SPREAD THE GOOD NEWS!!!

Answer:

praise him let him know that we are here

Step-by-step explanation:

AMEN!!!!!

go to world harvest next year

Church school

Answer:

5.

Step-by-step explanation:

if its 5 or more raise it to the next whole number when asked.

The number nearest whole to 4.666 is 5

Rounding off means a number is made simpler by keeping its value intact but closer to the next number

The nearest to whole number of 4.666

4.666 lies between 4 and 5, whose rounding to nearest to whole number will 5.

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Given the following formula:

We want to rewrite this expression in a way 'b' is a function of the other terms.

Multiplying both sides by 2, we have:

Then, if we divide both sides by 'h':

And this is our answer.

Answer:

c is correct

Step-by-step explanation:

The equation that represents this fraction is 1 ÷ 6 =1/6. Therefore, option C is the correct answer.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a cake is cut into 6 equal-sized pieces. Each piece is one sixth of the whole.

The equation is 1 ÷ 6 =1/6

Therefore, option C is the correct answer.

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

The slope of the line which is perpendicular to line AB is 7/10.

What exactly is a Slope?

In mathematics, slope refers to the steepness or incline of a line. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

The slope formula is given by:

slope = (change in y) / (change in x)

Now,

The slope of line AB can be found using the slope formula:

slope = (change in y) / (change in x)

slope = (7 - (-3)) / (-5 - 2) = 10 / (-7) = -10/7

The slope of a line perpendicular to AB will be the negative reciprocal of this slope, so we can flip the fraction and change the sign:

slope of the perpendicular = 7/10

Therefore, the slope of the line that is perpendicular to line AB is 7/10.

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Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

If you subtract the first equation from the second one, you end up with

cos(x - y) - cos(x + y) = 2 sin(x) sin(y)

so that

sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))

Then in the integral,

\(\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}\)

The value of the given fraction in mixed numbers is 6, or 36/6.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.

Here,

=81/6-45/6

=(81-45)/6

=36/6

=6

The value for given fraction in mixed number will be 6 that is 36/6.

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3. The volume of the new gumball machine is of 861.75 in³.

4. This is a real solution, as it is a positive number.

The volume of the old machine was of:

5575 in.³

(as stated in the problem)

The volume of the new machine is obtained as follows:

532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.

One fourth of the volume of the old machine is obtained as follows:

1/4 x 5575 in³ = 1393.75 in³.

532 in.³ less than that is obtained as follows:

1393.75 - 532 = 861.75 in³.

An extraneous volume is a negative value to the volume, as the volume cannot be negative. Since the number is positive, it represents a real solution.

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Answer:

544w + 11%

Step-by-step explanation:

544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases

Answer:

7/20 mile farther

Step-by-step explanation:

Subtracting 2/5 mile from 3/4 mile results in the distance you still have to walk:

3/4 - 2/5 = ?

Here the LCD is 20.  Thus, 3/4 becomes 15/20 and 2/5 becomes 8/20.

Then 3/4  - 2/5 = 15/20 - 8/20, or 7/20.

You still have 7/20 mile to walk to get home.

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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The limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³] is determined as -2.

The limit of the given expression is calculated as follows;

lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³]

= (4e⁰)/2 - 4 - 2(0) - 12(0) + (0)

= (4)/2 - 4

= 2 - 4

= - 2

Thus, the limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³] is determined as -2.

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Answer:

----------------------------

Divide the total amount by the cost per piece:

Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.

Two more examples of relationship patterns found in mathematics are Geometric sequences and Fibonacci numbers.

Mathematical patterns are a sequence of repeated arrangements of numbers, shapes, colors, letters, etc.

Mathematical patterns are usually abstract.

A geometric sequence is a sequence of non-zero numbers.  The first number is the product of multiplying a previous number by a fixed, non-zero number, called the common ratio.

A Geometric sequence may look like: 2, 4, 8, 16, 32, 64, 128, ..., where the common ratio is 2.

A Fibonacci number starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers.

The rule of the Fibonacci sequence is that each number is equal to the sum of the preceding two numbers, for example, 0, 1, 1, 2, 3, 5, 8, 13.

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(a) In the diagram provided, the alternate interior angles are

Angle 3 and angle 5

Angle 4 and angle 6

(b) Angle 4 and angle 8 are corresponding angles. Corresponding angles are equal. Therefore, angle 4 is equal to angle 8

(c) Angle 4 and angle 5 are same side interior angles

Angle 3 and angle 6 are same side interior angles