yall I really need help. Ill give brainliest^^
What are the domain and range of the function the quantity of x squared minus 4 x minus 12, all over x plus 2? domain is x is all real numbers where x does not equal negative 2 comma range is y is all real numbers where y does not equal negative 8 domain is x is all real numbers where x does not equal 4 comma range is y is all real numbers where y does not equal negative 2 domain is x is all real numbers where x does not equal 2 comma range is y is all real numbers where y does not equal 8 domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal 2

Answers

Answer 1

Using it's concept and the graph of the function, the domain and the range are given as follows:

Domain: All real values of x.Range: All real values of y.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.

In a graph, the domain and the range are found as follows:

The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.

For this problem, the function is given by the following rule stated in the problem:

f(x) = (x² - 4x - 12)/(x + 2).

The graph of the function is given at the end of the answer. From it, we can see that the function unexpectedly devolves into a linear function. This is because -2 is a factor of x² - 4x - 12, hence (x² - 4x - 12) = (x + a)(x + 2), and x + 2 is simplified with the denominator.

The function is defined for all real values, and also assume all real values, hence:.

Domain: All real values of x.Range: All real values of y.

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Yall I Really Need Help. Ill Give Brainliest^^What Are The Domain And Range Of The Function The Quantity

Related Questions

it took andrea 1.8 hours to drive to her​ mother's house on saturday morning. on her return trip on sunday ​night, traffic was​ heavier, so the trip took her 2 hours. her average speed on sunday was 5 mph slower than on saturday. what was her average speed on saturday​?

Answers

Answer:

45mph

Step-by-step explanation:

Aileen's bi-weekly gross pay is $799.80. She sees that $151.96 was deducted for taxes. What percent of Aileen's bi-weekly gross pay has been withheld for tax? Round to the nearest whole percent.

Answers

The Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

Aileen's bi-weekly gross pay = $799.80

Deducted for taxes=$151.96

According to given question we have

Percent of Aileen's bi-weekly gross pay has been withheld for tax

[tex]\frac{799.80-151.96 }{799.80} *100\\\\=81 %[/tex]

Therefore, the Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.

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Answer: 19%

Step-by-step explanation: Just took the test. 799.80 x .19= 151.96

Find the slope, y intercept and equation LAST ONE FOR THIS

Answers

Check out the attached photo

10. If the mine winch drum diameter is 6M, calculate how far the counterweight will lift for each single rotation of the drum.​

Answers

The counterweight lifted in each rotation of the drum is 18.85m.

The diameter of the drum is : d=6m

hlift=C=πd

C=[tex]\frac{22}{7}[/tex]×6

C=18.85 m

Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord.

Diameter also refers to the length d of a diameter. As opposed to a diameter, which refers to the line segment itself, one uses the term "diameter" in this context since all diameters of a circle or sphere have the same length, which is equal to twice the radius r. The longest distance that may be generated between the tangents of two opposite parallel lines is referred to as the diameter for a convex shape in the plane.

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What is the domain of the relation {(-3, 3), (–1, 0), (6, 3), (9, -2)}?

(3, 6, 9)

(-3,-2, -1)

(-2, 0, 3)

(-3,-1, 6, 9)​

Answers

Answer:

Domain { -3,-1,6,9}

Step-by-step explanation:

The domain is the input values

Domain { -3,-1,6,9}

Complete the table
kilometers
1
5
20
0.3
meters
1,000
5 kilometers equals how many meters?

Answers

5 kilometers is 5,000 meters

Write a numerical expression for the difference of six and two divided by four

Answers

6-2/4 (if asked to write down)
5.5 (if asked to simplify)
6,2,4 all can be answers

Sara leaves home at 8:00 a.m. and drives at an average speed of 45 miles per hour. Her brother Pedro leaves home at 9:00 a.m. and drives along the same path at an average speed of 65 miles per hour. a. How many hours will Sara have driven when Pedro catches up with her? hours b. How far from home are they when Pedro catches up with Sara?

Answers

Using linear functions, we have that:

a. Sara will have driven 2.25 hours when Pedro catches up with her.

b. They are 146.25 miles from home when Pedro catches up with Sara.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

We have to consider the starting time as when Pedro leaves, when Sara will be at position 45 miles. Considering the velocities as the slope, the functions are:

S(t) = 45 + 45t. P(t) = 65t.

Pedro will catch up with Sara when:

P(t) = S(t)

Hence:

65t = 45t + 45

20t = 45

t = 45/20

t = 2.25 hours.

Sara will have driven 2.25 hours when Pedro catches up with her.

The distance from home will be given by:

P(2.25) = S(2.25) = 65(2.25) = 45(2.25) + 45 = 146.25.

They are 146.25 miles from home when Pedro catches up with Sara.

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Find the slope of the line that passes through (-6,10) and (7,-10)

Answers

Take the difference in y coordinates and divide that by the difference in the x coordinates. That's the slope, sometimes called the "rise over run"  For a straight line or a linear function the slope is a constant

(6-10)(7,10) = 2/3 = slope

the line is

y-h = m(x-k) where m=2/3 and (k,h) = (10,10) or either point

to get y-10 = (2/3)(x-10)

3y -30 = 2x-20

2x-3y = -10

or use (k,h) as (7,8)

y-8 = (2/3)(x-7)

3y-24 = 2x-14

2x-3y = -10

or if you write it in y=mx + b form

it's y=(2/3)x + 10/3  where 10/3 is the y-intercept and 2/3 = slope

In this form, take the derivative of (2/3)x + 10/3

to get y' = 2/3,  the derivative is the slope

A local donut shop charges $0.89 per donut, plus a one-time charge of $0.15 for the box, the service, etc. (a) write a function that expresses the amount charged as a function of the number of donuts bought. (b) use the function from (a) to determine the price of a box with a dozen donuts in it. (c) use the function from (a) to determine how many donuts would in a box that cost $6.38.

Answers

The answers are as follows -

(a) f(x) = 0.15 + 0.89x

(b) $ 10.83.

(c) 7 donuts

(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.

f(x) = 0.15 + 0.89x

(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.

f(12) = 0.15 + 0.89 × 12

f(12) = 0.15 + 10.68

f(12) = 10.83

Thus, the price of box containing one dozen donuts is 10.83.

(c) Now, finding the value of x as per given cost.

6.38 = 0.15 + 0.89x

0.89x = 6.38 - 0.15

0.89x = 6.23

x = 6.23 ÷ 0.89

x = 7

Thus, a box costing $6.38 will contain 7 donuts.

Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.

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A nearby skating park charges $4 for skates and an hourly rate for each hour.
The sign on the right gives the prices for up to 3 hours of skating. Which linear
equation represents the given information where C is the total cost and h is the
number of hours spent in the park?

1 hour
2 hours
3 hours
$15
$30
$45

Answers

The linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

What is a linear function?

Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.

A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

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Find the sum of the first 13 terms of the sequence 2, 5, 8, 11,.... [answer format: integer, no units]

Answers

According to the given statement the first 13 words in this sequence add up to 260.

What is sequence?

In mathematics, a sequence is an itemized group of elements where repeats are tolerated and order is significant. It has members, just like a set (also called elements, or terms). The length of the series is the number of items (potentially infinite). In contrast to a set, the same items might occur more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the locations of the sequence's members) to the items at each of those positions. An indexed family, which is a function from an index set that may not be integers to another set of elements, can be thought of as a more extended version of a sequence.

According to the given data:

We are informed that the order is2,5, 8, 11, ..... ..............(1)

The total of the first 13 terms must always be established.

Sum of n terms formula is

Sn (2a + (n − 1)d)

First term = a = 2 from

(1)The average difference is 3 (5-2=8-5=11-8=3).

via formula

S13 13 (2a +(13 – 1)d) 2S13 13

(2 x 2 + (13 - 1) 3) 213

(4+36)13 (40)

= 260

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Fill in the blank.
The coordinate of point H, the midpoint of DE, is 5. If the coordinate of D is greater than the coordinate of E. and DE = 24. then the coordinate of D is Blank

Answers

Answer:

D has the coordinate 17

Step-by-step explanation:

Given

DE  has as the mid point H at 5

D > E

DE = 24

Find the coordinate of D

5 + (24/2) = 5+12 = 17

Factors estimate 5,897 times 67

Answers

Factors estimate 5,897 times 67

The estimate product of the factors 5897 times 67 is 383500.

We have to use strategies to estimate the products.

We can round each factor to the greatest place value which is the place value farthest to the left.

we can use compatible numbers.

compatible numbers are friendly numbers they are easy to compute numbers.

Given 5897[tex]\times[/tex]67=395099

This is the actual factor

But the estimation product is

We use mental math and compatible numbers here.

step1: 5900[tex]\times\\[/tex]70=413000

step2:5900[tex]\times[/tex]65=383500

Both the step1 and step2 are reasonable because the factor are close to the actual factor.

But 5900[tex]\times[/tex]65=383500 is better because it is very close to the actual factor compared to 5900[tex]\times\\[/tex]70=413000.

Therefore, The estimate product of the factors 5897 times 67 is 383500.

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Alfred delivers 10 to the power of 2 newspapers every week. How many does he deliver in 14 weeks?

Answers

Answer:

1400

Step-by-step explanation:

10² is 100 so 100*14 is 1400

Solve for d.
-6 + d = 7 + 3d + 3
d = [
Submit

Answers

Answer:

so if add everything and subtract them for d you get 7

The straight line depreciation equation for a car is y=-3680 +39500

Answers

Finding the numeric value of the function, it is found that the car is worth $24,780 after 4 years.

What is the problem?

This problem is incomplete, but researching it on a search engine, we have that:

The straight line depreciation equation for a car is y = -3680x + 39500.

It asks the value of the car after 4 years.

How to find the numeric value of a function?

The numeric value of a function is found replacing each instance of x by the value that we want to find.

For this problem, means that the value of the car after x years is given by:

y = -3680x + 39500.

Hence, after 4 years, the value is:

y = -3680(4) + 39500 = $24,780.

The car is worth $24,780 after 4 years.

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Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2)

Answers

Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2) is attached.

Given that

Three points

J (-2,-0.5)K (0,2)L (-4,-2)

To do

We have to show all that points in graph.

So, according the question

We have

Three points J,K AND .L

For Showing that all points in graph, We have to follow some points

See the value of x and y of given pointFind out the point lie in which coordinate plane. Locate that point on coordinate plane.

So, from question

J (-2,-0.5) = This point have the value of x is -2, and the value of y is -0.5. So that point lie in 3rd coordinate plane. That point showing in given graph.K(0,2) = This point have the value of x is 0, and the value of y is 2. So that point lie in 1st coordinate plane. That point showing in given graph.L(-4,-2) = This point have the value of x is -4, and the value of y is -2. So that point lie in 1st coordinate plane. That point showing in given graph.

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Need help with this equation: y(a - b) =c(y + a), solve for y

Answers

Answer:

[tex]y = \frac{ac}{a - b - c} [/tex]

EBOB
FDGHFDHDHAFHSGFJSFHSHRHGHGSFD

Answers

Answer:

purple. (said with British ascent)

Carl had $840 more than Daisy. Carl spent 3/4 and Daisy spent 3/5 of their money respectively. Daisy was then left with $60 more than Carl. How much did Carl have at first?

Answers

Carl had 1920 dollars at first.

Word Problem leading to equation

Given that Carl had $840 more than Daisy.

Let Daisy money = M

Carl Money = 840 + M

If Carl spent 3/4 and Daisy spent 3/5 of their money respectively. That is,

for Carl: 3/4 × (840 + M) = 630 + 3M/4

The remaining amount = (840 + M) - (630 + 3M/4)

Amount = 210 + M/4

for Daisy: 3/5 × M = 3M/5

The remaining amount = M - 3M/5

Amount = 2M/5

Daisy was then left with $60 more than Carl. Then,

2M/5 = 60 + 210 + M/4

2M/4 = 270 + M/4

Collect the like terms

2M/4 - M/4 = 270

M/4 = 270

M = 4 × 270

M = 1080 dollars

Since Carl had $840 more than Daisy, Carl amount = 840 + 1080

Carl amount = 1920 dollars

Therefore, Carl had 1920 dollars at first.

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HELP ASAP I DON'T UNDERSTAND​

Answers

Answer:

option 3

Step-by-step explanation:

4x² - 100 = 0 ( add 100 to both sides )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

then

x = - 5 , x = 5

Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?

Answers

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and . and PQ = RS . If PS = 33 and PR 25, what is the value of QR?

Answers

Answer = 17

Full length of line is 33. PR is 25. That means RS is 8. If PQ=RS then that means PQ is 8. Then you would subtract 25-8 and it will get u 17 for QR.

Please hurry , Will give brainliest to anybody . Very simple question !!!

Answers

Answer:

Step-by-step explanation:

The left option

(4,3), (1,3), (0,5), (1,8)

If 5/9 of the vegetable medley is green beans and there is a total of 5 pounds of
vegetable medley, how many pounds of green beans do they have? Leave your
answer as an improper fraction, if applicable.

Answers

The pounds of green beans in the vegetable medley is 2.78 pounds

Fraction

Total pounds of vegetable medley = 5 poundsFraction of green beans in vegetable medley = 5/9

Pounds of green beans in the vegetable medley = Fraction of green beans in vegetable medley × Total pounds of vegetable medley

= 5/9 × 5

= (5 × 5) / 9

= 25 / 9

= 2.777777777777777 pounds

Approximately,.

Pounds of green beans in the vegetable medley = 2.78 pounds

Therefore, the pounds of green beans in the vegetable medley is 2.78 pounds

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the following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 what proportion of the measurements lie in the interval (write it up to first decimal place)?

Answers

The proportion of the measurements lie in the interval is 0.9.

According to the given question.

Weigths of 10 young dogs.

W : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27

As we know that mean si calculated by the formula

Mean = ΣW / n

Thereofre, the mean of the weights of 10 young dogs

= 7 + 5 + 11 + 8 + 14 + 19 + 16 + 15 + 13 + 27/ 10

= 13.5

And, Standard deviation (s) = 6.433

Proportion that lies in mean ± 2s

Lower = Mean - 2s

⇒ 13.5 - 2(6.433) = 0. 632

Also, Upper = Mean + 2s

⇒ 13.5 + 2(6.433) = 26.376

Mean ± 2(sd) = (0.632, 26.276)

The only digit from the data which falls outside the defined range = 27

Proportion within interval = 9 / n

Proportion which falls within interval = 9/10 = 0.9

Hence, the proportion of the measurements lie in the interval is 0.9.

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21x^7y^7z^4+31x^4y^4 21x 7 y 7 z 4 +31x 4 y 4
Factor completely using GCF

Answers

The factored expression of 21x^7y^7z^4 + 31x^4y^4 is  x^4y^4(21x^3y^3z^4 + 31)

How to factor the expression completely?

The expression is given as

21x^7y^7z^4 + 31x^4y^4

Express the above expression as a product

So, we have

21x^7y^7z^4 + 31x^4y^4 = 21x^3y^3z^4 * x^4y^4 + 31 * x^4y^4


Factor out x^4y^4

So, we have

21x^7y^7z^4 + 31x^4y^4 =  x^4y^4(21x^3y^3z^4 + 31)

Hence, the factored expression of 21x^7y^7z^4 + 31x^4y^4 is  x^4y^4(21x^3y^3z^4 + 31)

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Can someone answer this correctly please and thank you :D

Answers

I think it's C because there 6 digits after 5

Darcy is planting trees along a new city sidewalk. She plants the same number of trees on each city block. After 5 blocks, she has planted 25 trees. After 7 blocks, she has planted 35 trees. At what rate is Darcy planting trees?​

Answers

35-25/7-5

10/2= 5

5 trees per hour

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