Mathematics High School

Perform the indicated operation. State the domain restrictions

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.

here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3

to solve you need to factor x^2 -6x-27

you can do it by using

x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2

so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27

it will factor in (x-root 1) (x-root 2)

x^2 -6x-27 = (x+3)(x-9)

[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]

simplify x+1 and x+3

x-9

Related Questions

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

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Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

please help me with this question i need it quick!

Answers

Hahaha hahah haha hahaha hahaha

The answer to the question is A, 1 1/3.

what is−1/2−(−5/9) as a fraction in simplest form

Answers

Answer:

1/18

Step-by-step explanation:

-9/18 + 10/18

Answer:

1/18

Step-by-step explanation:

When dividing two numbers written in exponential notation, what do you do with the exponents of 10?

Answers

subtract one exponent of the 10 from the other

3. Kate's "Dining Card" entitles her to $10 off the price of a meal after a 15% tip has been added to the
cost of the meal. If, after the discount, the bill is $32.55, how much did the meal originally cost?

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help meeeeee need it nowww

Help meeee real quiockly pleaseee

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he has room for 35 more video games

Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find the measure of both angles.

Answers

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

A. Reflection
B. Rotation
C. Translation
D. No Transformation

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Answer:D I think might be wrong

Step-by-step explanation:

11-3(x+2)
Expand and simplify

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Answer:

5-3x

Step-by-step explanation:

To expand this, we start with the distribution of -3 into the parentheses containing x+2

This leaves us with

11-3x-6

From here, simplifying involves combining like terms. The only like terms we have are the constant values 11 and -6

We combine them by subtracting 11-6 to get 5.

This leaves us with our answer,

11-6-3x

5-3x

An alternate way of writing this would be

-3x+5

But this would only be required if we were asked to express the answer in decreasing degree, so don't worry about that for now

i do not know the answer to this equation √56245

Answers

Answer: 237.160283353

Step-by-step explanation:

Answer:

the answer is 237.1602834

source: Calculator

Is , divisible by , , , , , , or 0?

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Nothing can divide 0

Harry's math test scores are listed below. 95, 90, 85, 40, 100, 100, 85, 90 Which measures of central tendency most closely describes Harry's overall performance on the math test?

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Answer:

85.6%

Step-by-step explanation:

To get two overall performance of Harry, we need to calculate his average score.

Average is also known mean score.

Mean = sum of the score/Total math subjects offered

Mean = 95+ 90+85+40+100+100+85+90/8

Mean = 685/8

Mean = 85.6

Hence her overall performance is 85.6%

The measure of central tendency used is 85.6%

plz answer asap!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

help with this word problem???? :)

Answers

Answer:

I'm pretty sure it's 144

Step-by-step explanation:

1. 160 divided by 5 is 32 so 1 quart = 32 pounds

2. 32 times 4.5 = 144

P.S Mark as brainliest rate 5 stars and hit that thanks button!

Which equation is shown by the model?

Answer Asap please!

Answers

the answer is -4x+6= 2x-4

I will give 50 points to whoever answers it!! What is the rate of change and initial value for the linesr relation that includes the points shown in the table?
x y
1 20
3 10
5 0
7 -10
A. Initial value: 20, rate of change: 10
B. Initial value: 30, rate of change: 10
C. Initial value: 25, rate of change: -5
D. Initial value: 20, rate of change: -10

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The answer is D. Initial value : 20, rate of change -10. I hope this helped!

pls i need help ASAP best answer gets brainlest

Answers

Answer:

3^12

Step-by-step explanation:

Simplify the expression, 3^10/3^-2.

Next, solve for the sum. which will be 3^12.

Full answer is 531441

Answer:

3^12

Step-by-step explanation:

Why?

1. (3^5)^2 = 3^10

2. 3^10 - (-2)

Answer: 3^12

-5 + 3d + 6 - 4d. in simplest form

Answers

Answer:

1-1d

Step-by-step explanation:

i think that is the answer

Answer:

-1-d

Step-by-step explanation:

If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?

Answers

parallel lines have the same slope so it would be 3/2 for the other line as well.

The system of equations has .

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A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.

Step-by-step explanation:

A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?

Answers

Answer:

Each ride costs $1.25

Step-by-step explanation:

$20 - $13.75 = $6.25

$6.25 / 5 = $1.25

Answer:

1.25 per ride

Step-by-step explanation:

Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.

A math club decided to buy t-shirts for its members. A clothing company quoted the following prices for the T-shirts. Which equation best describes the relationship between the total cost, y, and the number of t-shirts, x?

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Answer:

Step-by-step explanation:

Rewrite -3- (-4) as an addition equation. Your answer answer

Answers

Answer:

-3 + 4 = 1

Step-by-step explanation:

Minus with minus makes a positive.

PLEASE HELP ME ILL GIVE BRAINLIEST

Answers

I THINK you have it correct, but I'm not 100% sure.

Answer:

It’s correct

The number of fish in a lake decreased by 25% between last year and this year. This year there are 45 fish in the lake. What was the population of last year

Answers

Answer:

The population of last year was 60.

Step-by-step explanation:

From the information given, as you know that the number of fish in a lake decreased by 25% between last year and this year, the amount of fish this year represents 75% of last year's population as: 100%-25%=75%. With that, you can use a rule of three to find last year's population tha would represent 100% given that 75% is equal to 45 fish.

75% → 45

100% → x

x=(100*45)/75= 60

According to this, the answer is that the population of last year was 60.

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

please help asap. thank you very much

Answers

Formula being mx+b= 15x+150

Slope would be 15 & y-intercept being 150 since that is where you started.

find the length of side a

Answers

Answer:

Step-by-step explanation:

Answer:

the anser wouold be 5

Step-by-step explanation:

1 is too small 25 is too big 313 is out rageesty to big

If the point is reflected across the yaxis what is the location of the new point?

Answers

Answer:

That would be B. (2,-5)

Step-by-step explanation:

If it's reflected across the Y axis then only the second number will change

But it depends on what the number is

Plz help due tomorrow

Answers

Answer:

Step-by-step explanation:

4h/5

It is the last one! (I think) ;)

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