Let F(x) = 2x2 + x - 3 and g(x) = x - 1. f(x) g(x)
Find and state its domain.

Answers:
1) X - 1; domain is the set of all real numbers
2) (x-1)/(2x + 3) ; domain is the set of all real numbers except-(3/2)
3) 2x + 3; domain is the set of all real numbers except 1​

Answers

Answer 1

Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:

3) 2x + 3; domain is the set of all real numbers except 1​.

What is the domain of a function?

It is the set that contains all possible input values.

In this problem, the functions are given as follows:

f(x) = 2x² + x - 3.g(x) = x - 1.

Hence the division is given by:

[tex]\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}[/tex]

The denominator cannot be zero, hence the domain is [tex]x \neq 1[/tex].

Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.

More can be learned about the domain of a function at https://brainly.com/question/10891721

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Related Questions

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

Yes, SAS Theorem

Step-by-step explanation:

The triangles are congruent because of SAS Theorem that states that if two triangles have two sides and the angel in between them congruent the triangles are congruent.

JK≅NM (Side) because the sides have the same measure 74in. they are ≅

∡J≅∡M (Angle) because the angles have same measure 37° they are ≅

JL≅PM (Side) because the sides have the same measures 46in. they are ≅

Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8

Answers

Step by step explaination

y-4x= -4

y= 4x-4

slope of the given eqn of line = 4

and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4

OPTION C , the eqn has slope = 4

Awnser this for brainliest.

Answers

Answer:

1 is the number that goes in the blank

Step-by-step explanation:

3(2x+1)

Distribute

3*2x+3*1

6x+3

Answer:

3*2x+3*1

6x+3

hope it help

i will give brainliest.

Answers

Answer:

speed

Step-by-step explanation:

pls anyone that can help​

Answers

A. 34cm

Hope this helps! :)

Answer:

I think it’s b but I’m not 100% sure tho…

2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?

Answers

Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

CAN ANYONE HELP ME WITH THIS PLEASE??

Answers

Answer:

The answer is A. 6.4 and 5.6 and D. 39 and 27.

Step-by-step explanation:

A. 6.4 and 5.6 = 1.6 and 1.4

6.4 / 1.6 = 4

1.4 * 4 = 5.6

So A is correct.

D. 39 and 27 = 13 and 9

39 / 13 = 3

9 * 3 = 27

So D is correct.

Hope this helps! :)

Adams Stationary sells cards in packs of 6 and envelops in packs of 9. If HyunSik wants the same number of each, what is the minimum number of cards that he will have to buy?

Answers

Answer:

54

Step-by-step explanation:

Adam sells stationary cards in pack of 6

And also envelops in pack of 9

Therefore the minimum number of cards he have to buy can be calculated as follows

= 9×6

= 54

Which one is the correct answer above?

Answers

The answer would be the first one 32km

How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0

1. 2
2. 0
3. 1
4. 3

Answers

Answer:

Option 1: 2

Step-by-step explanation:

see the plotting (made with desmos)

note that 3 is impossible, because a quadratic equation can't have 3 real zeros

Each month Judy and jills cupcake shop pays $1850 in monthly expenses . They need to make at least as much as they spend each month. Which inequality shows, x, the amount of money they need to make it each month

Answers

Answer:

x is greater than or equal to 1850

Step-by-step explanation:

This is because they need to make AT LEAST this much.

Answer:

I ned help

Step-by-step explanation:

find the product (3n-4)(3n-4)

Answers

Answer:

9n-8 is the product

Answer:

Search Quickmath in Chrome and

all problem will solve... I hope it helps and trust me it works

Kelly is flying a kite. She staked the kit to the ground. The angle of elevation between the string and ground is 70˚. The string on the kite is 65 meters long. How far is the kite above the ground? (Round to two decimal places)

Answers

Answer:

Step-by-step explanation:

What is the value of x in the diagram below?

Answers

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

     x = 6 - 3

    x = 3

Answer:

3

Step-by-step explanation:

parallelogram - top side = bottom side (parallel sides)

; x + 3 = 6

; x = 6 - 3

; x = 3

I need help please!!!

Answers

Answer:

1

Step-by-step explanation:

Answer:

log x^2 sqrt(y)

Step-by-step explanation:

1/2 log y + 2 logx

We know that a log b = log b^2

log y^ 1/2 + log x^2

We know that log a + log b = log (ab)

log  x^2 y^ 1/2

log x^2 sqrt(y)

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years​

Answers

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

what is 3x+8 + 4x+10

Answers

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex]RainbowSalt2^{2}2^{2}[/tex]

╰══ღ❦ღ═══════╯

Do the side lengths 7, 20 and 21 form a right triangle?

Answers

Answer: No, the side lengths do not form a right triangle.

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

Work Shown:

a^2+b^2 = c^2

7^2+20^2 = 21^2

49+400 = 441

449 = 441

We end up with a false equation, so the original equation is false for those a,b,c values.

By the pythagorean theorem converse, we do not have a right triangle.

Because a^2+b^2 > c^2, this triangle is acute.

Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37

Answers

Answer:

D (last answer)

Step-by-step explanation:

solve and simply

smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1

Answers

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

this is your answer : 0.1, 0.5, 0.8, 0.9

4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile

Answers

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

[tex]\frac{3}{4}[/tex]×[tex]\frac{4}{3} =1[/tex]

We need to multiply the 4 1/2 ounces by 4/3 too

[tex]4\frac{1}{2}[/tex]×[tex]\frac{4}{3} =6[/tex]

4 1/2 ounces per 3/4 miles

6 ounces per 1 mile

Answer:

6 ounces

Step-by-step explanation:

Let the unknown number be x

[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]

Now simply use cross multiplication to solve it

[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]

Now make x as the Subject

[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]

So the answer is

6 ounces

Given that the area of the trapezoid is 55cm find x

Answers

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)

Answers

The foot of the ladder is
10
feet away from the base of the wall. [Ans]

Fill in the blank with the correct word.
When solving a numerical expression, you must add or subtract from left to type your answer...
order.
Please help!

Answers

………………………………………Right

Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)

Answers

Answer:

y = -0.14286x + 1.2857

Step-by-step explanation:

Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.

Hope that this helps!

9514 1404 393

Answer:

  5x -7y = -3

Step-by-step explanation:

The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.

Find the new constant by using the x- and y-values of the given point.

  -7x -5y = 9 . . . . given equation

  -5x -7y = c . . . .  equation with coefficients swapped

  5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated

  5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3

The equation of the perpendicular line is ...

  5x -7y = -3

PLEASE HELP ME !! I BEG

Answers

Answer:

d yr welcome

Step-by-step explanation:

Option 'B' is the correct option:

[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]

If Adrian were to spin the spinner 400 times, how many times could he
expect to get yellow? Use theoretical probability.

Answers

Answer:

c

Step-by-step explanation:

What is the equation of a circle with center (7, 2) and radius 2?

Answers

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

HELP HELP HELP HELP HELP

Answers

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 3 child tickets for a total of $100. The school took in $132 on the second day by selling 6 senior citizen tickets and 7 child tickets.

Answers

Answer:

What is the question pls

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