Mathematics College

❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)

Answers

Answer 1

The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]

Functions and equation

Given the following function as shown:

[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]

This can be factorized as:

[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]

Cancel out the common terms:

[tex]f(x) = \frac{x+3}{x}[/tex]

Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\

Learn more on functions here: https://brainly.com/question/10439235

Answer 2

Hi Phoenix! :)

I'm much late lol.

Answer:

[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]

Step-by-step explanation:

Given:

[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]

Solution:

[Here the best option is to factorise the expression.]

Rewrite the numerator of the expression as

[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]

It can be seen that the numerator is like an algebraic identity:

> a² - b² = (a+b)(a-b)

ATP, numerator : a = x² and b = 3²

[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]

Now in the denominator take x common:

[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex]

(x-3) in the denominator and (x-3) in the numerator gets canceled.

[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]

Welp,Done, that's it! :D

Related Questions

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

Han rides his bike for 50 miles over 4 hours.How long will it take him to ride 75 miles?

Answers

Answer:

6 hours.

Step-by-step explanation:

This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

if star x 2 equals square, then star x 8 equal

Answers

Answer:

Square times 4

Step-by-step explanation:

Square divided by 2 equals star right? Now we can plug in star in terms of square and we get square divided by 2 times 8, which is just Square times 4

1. What is the place value of 7 in 43.0671? A. tenths B. hundredths TA C. thousandths D. ten thousandths

Answers

C. thousandths
hope this helps!

Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48

Answers

The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.

Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

Read related link on:

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Answer: The correct answer is n≥48

Step-by-step explanation: Give me the brainiest

consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?

Answers

Step-by-step explanation:

remainder=4

quotient=x+1

divisor=x-2

dividend=x^2 -x +2

I have more questions then this

Answers

Answer:1-1/3

2-16 in.

3-10.49

4-1/10

Step-by-step explanation:

i hope this helps

(x-1)I+(y+1)=(1+i)(4-3i)

Answers

Answer:

x=2, y=6

Step-by-step explanation:

Which sentence uses correct subject-verb agreement?

A. The river through our cities are polluted

B. Mountains in Colorado is beautiful.

C.The book about South American rivers is overdue.

D. The trees around our state is blooming.

Answers

C, is the correct answer.

Answer: C

Step-by-step explanation: the guy up top is correct:)

Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?

Answers

Answer: 52.3 seconds

Step-by-step explanation:

209.2 divided by 4

which is 52.3 seconds

Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?

Please give a walk through ty

Answers

Answer:

15% of 40 is 6

9514 1404 393

Answer:

Step-by-step explanation:

15% is the ratio of the price increase to the original price.

As a fraction 15% = 15/100 (fifteen hundredths).

As a decimal, 15% = 0.15 (fifteen hundredths).

The statement about the price increase is telling you ...

(increase)/(original) = 0.15

Multiplying by the original price, we get ...

(increase) = 0.15×(original) = 0.15 × $40 = $6.00

The price of the shirt went up $6.00.

2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now

Answers

The answer is seven- teen 17

Answer:

The answer is seventeen (17)

The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ

Answers

Answer:

x + 8

Step-by-step explanation:

Expanding the equation

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

= -4x+8+5x

= -4x+5x + 8

= x+8

I have more question

Answers

Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

What is 3 4/5÷(−1 1/10)?

Write the answer as a mixed number in simplest form.

Answers

Step 1:(Not really helpful or important) I just follow the rules of BODMAS.B for bracket O for Of D for division M for multiplication A for addition and S small quiz in comment pls
I converted -11/10 to -1 1/10
Then I did 3 4/5 divided by it
Hope I help pls answer the quizzzz

The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft

Answers

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

https://brainly.com/question/10375496

Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.

Answers

Answer:

The slope is:

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

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

Hey everybody! Not a super hard question here! Anybody think they can help me out?
Identify the correct domain and range.

Answers

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

Graph the equation y= -1/2x. Please help

Answers

Answer:

put one point b the negative -1 and another point by the 2 going long ways ------

Step-by-step explanation:

Identify the graph that matches the piecewise function

Answers

D, the other graphs don’t match

D the because look at the line

Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]

Answers

Answer:

6 shirts

Step-by-step explanation:

The cost of a shirt and 2 ties is ...

$18.50 +2(7.50) = $33.50

For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.

Frank can buy 6 shirts (and 12 ties) for an amount less than $205.

_____

Additional comment

Frank's cost will be $201 for that purchase.

Help help help help hell

Answers

Answer:

m = N - f

Step-by-step explanation:

The original equation:

N = m + f

if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.

Hope this helps!

What’s the solution to 2x - 2 > 2x + 4 ?

Answers

Answer:

This inequality isn't correct.

Step-by-step explanation:

2x - 2 > 2x + 4

Substituting any value for x, the result will be incorrect.

Actually,

2x - 2 < 2x + 4 is correct.

2x - 2x < 4 + 2

0 < 6

HELP ME PLEASE!! I DONT WANT TO FAIL THIS AGAIN.

Answers

Answer:

Step-by-step explanation:

You can see that the rate of change of function A is 3. because that's the slope (M) in y=mx+b

5 is slope for B because unit rate is 5 ( 1 to 3 change is +10 so unit rate is 5)

PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w

Answers

The element which should be used to help clarify a complicated idea in a text is ; A research question.

According to the question;

We are required to determine which element should be used to help clarify a complicated idea in a text.

A research question is the best fit which should be used to help clarify a complicated idea in a text.

This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.

brainly.com/question/18675306

Answer:

Step-by-step explanation:

how is this math? 0-0

Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24

Answers

[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number

The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:

The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio? (2 points)

Question 1 options:

1)

Cupcakes Pastries
7 2
21 6
42 8
84 10

2)

Cupcakes Pastries
7 2
21 6
28 12
35 24

3)

Cupcakes Pastries
7 2
21 17
42 38
84 80

4)

Cupcakes Pastries
7 2
14 4
28 8
56 16

Answers

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

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❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗Simplify: (question in the pic)​​

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❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)