Please help, I’ll mark your answer as brainliest.

Please Help, Ill Mark Your Answer As Brainliest.

Answers

Answer 1
the denominator is x² -9x+14≠0
factorize it
(x-7)(x-2)≠0
x≠7 and x≠2

hence domain is x ∈ (-∞,2) U (2,7) U (7, ∞)

Related Questions

what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?

Answers

Answer:

5 ≤ y ≤ 205

Step-by-step explanation:

Input values 0 and 50 for x in the function f(x) - 4x + 5

Solve:

f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5

f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205

The range is between these two points: 5 ≤ y ≤ 205

-Chetan K

Plz answer question I’m the picture

Answers

Answer:

x = 13.5

BC = 30

Step-by-step explanation:

BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.

Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5

Which of the following simulations would not work for the situation described?

A. To simulate randomly selecting a day of the week, assign a one-digit number from 0 to 6 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 6.
B. To simulate randomly selecting a state in the U.S., assign a two-digit number from 01 to 50 to each state. Use a random digit table to generate two digit numbers, ignoring any over 50.
C. To simulate randomly selecting a day of the year, assign a three-digit number from 001 to 365 to each day of the year. Use a random digit table to generate two digit numbers, ignoring any over 365.
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.

Answers

Using the probability concept, it is found that the simulation that would not work for the situation described is:

D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

For a week, there are 7 days, and in the trial there are 7 outcomes, hence item a works.The same logic apply for items b and c, as there are 50 U.S states and a year has 365 days, and in each case, respectively, there are 50 and 365 outcomes.As for item d, there are 26 letters in the alphabet, and only 9 digits, hence digits would be repeated and it would not be an accurate simulation.

More can be learned about the probability concept at https://brainly.com/question/15536019

50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent

Answers

Answer:

$135

Step-by-step explanation:

15-12=3/2=1.5

12+1.5=13.5

13.5*10=135

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square metre, then

total cost = 135 x 12 = $1620

Add: 17 + 314 + 12 Write your answer in simplest terms.

Answers

Answer: is 343.

Step one: Read the problem and un line the question it is asking you.

Step two: circle the numbers in the problem.

Step three:What are you using to solve the number or Materials.

Step four the most important of all:17+314=331+12=334!

Step five:Therefore now I know.

Pittsburgh charges a 6% sales tax. Paula goes shopping and her
purchases total $139. How much will she pay in taxes?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 139}}{\left( \cfrac{6}{100} \right)139}\implies 8.34[/tex]

Which two numbers is 28 (square root) between?
A. 5.0 and 5.1
B. 5.2 and 5.3
C. 5.4 and 5.5
D. 5.6 and 5.7

Answers

Answer:

The answer is B.

Step-by-step explanation:

First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3

Hope I helped yo.

Algebra 2
Please help!

Answers

Answer:

3x

Step-by-step explanation:

Since k(x)=27x^3, we replace it in h( k(x) ), we will get:

h(27x^3)

Given that h(x)={3}√x [my keyboard doesn't support cubic root]

= {3}√(27x^3)

27 is 3^3,

Simplifying, the final answer is:

3x.

Answer:

3x

Step-by-step explanation:

[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]

An old light bulb uses 60 watts of power, but a new LED bulb uses only 9 watts. What is the percent change?

Answers

Answer: 85%

Step-by-step explanation:

Percent of change formula is (old - new / old) * 100

So then you input the numbers

60 - 9

——— *100

60


51

— *100

60

= 0.85(100)

85%


Hope this helps!


need help with 8 and 9.

Answers

Answer:

  8. parallel

  9. not parallel

Step-by-step explanation:

Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.

8.

We can compare the whole to the short part:

  102/45 ?? (41.8 +33)/33

  2.266... = 74.8/33 = 2.266...

The sides are proportional, so the segments are parallel.

__

9.

We can compare the longer portion to the shorter portion.

  38/19 ?? 52/24

  2 ≠ 2 1/6

The sides are not proportional, so the segments are not parallel.

_____

Additional comment

Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...

  19/24 vs 38/52

  19/(19+38) vs 24/(24+52)

or the inverse of these:

  24/19 vs 52/39, for example

PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm

Answers

[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ axy} [/tex]

What is the slope of the line on the graph below?

Answers

Answer:

2

Step-by-step explanation:

A farmer bought a goat for Rs 15000 and cow for Rs 35000. if he sold the goat at 10% profit and cow at 20% loss, find his profit or loss percent in whole transaction

Answers

Answer:

After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500

Goat profit was 1500

Cow loss was - 7000 therefore thw total profit was 8000

determine whether each pair of polygons is similar.​

Answers

Answer:

Yes they are similar

Step-by-step explanation:

I hope this helps you have a very nice day

determine the range of the inverse of F(x)= square root
x-4

Answers

Answer:

  y ≥ 4

Step-by-step explanation:

The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.

fine the output when the input is n.

Answers

Step-by-step explanation:

the output is -17 while the input is 5

If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?

Answers

Answer:

1496

Step-by-step explanation:

check the other answer for explanation

A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560

Answers

Answer:

nvm its acctually B. 460

Step-by-step explanation:

just did it

The expected value of the prize that will be awarded is $460.

What is expected value?

The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.

here, we have,

to determine the expected value:

The expected value is calculated using:

E(x) = Σx * P(x)

So, we have:

E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2

Evaluate

E(x) = 460

Hence, the expected value of the prize that will be awarded is $460

Read more about expected values at:

brainly.com/question/15858152

#SPJ7

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 5/27​, ...
Find the 10th term.

Answers

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

Polygon angle sum theorem, solve for many points.

Answers

Answer:540-452=88

x=88

sum of all is always 540 for pentagons

Step-by-step explanation:

PLSS HELP Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability? A) 25 coin tosses B) 35 coin tosses C) 55 coin tosses D) 75 coin tosses

Answers

Answer:

Its A- 25 coin tosses

Step-by-step explanation:

I took the test

Hwlsibdsja aka sus ejsnahabah HELP

Answers

Answer:

  y = cos(x) -1

Step-by-step explanation:

The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.

  y = cos(x) -1

Owen bought 15 bananas for $9. What was the cost of the bananas in bananas per dollar?

Answers

Answer: 5 banana 3 dollar

Step-by-step explanation:

per dollar"→divide by dollars

15\text{ bananas}:

15 bananas:

\,\,9\text{ dollars}

9 dollars

\frac{15\text{ bananas}}{9}:

9

15 bananas

:

\,\,\frac{9\text{ dollars}}{9}

9

9 dollars

\frac{5}{3}\text{ bananas}:

3

5

 bananas:

\,\,1\text{ dollar}

1 dollar

\frac{5}{3}\text{ bananas for every 1 dollar}

3

5

 bananas for every 1 dollar

\mathbf{\frac{5}{3}\text{ bananas per dollar}}

 5 bananas per 3 dollar

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles.

In 1 hour, a man will walk for 3 miles.

If a machine can make 100 bottles in 20 minutes.

In 1 minute the machine can make 100/20 = 5 bottles.

We have,

Cost of 15 banana = $9

This can be written as:

15 banana = $9

Divide 9 on both sides.

15/9 banana = $1

5/3 banana = $1

The cost of one banana:

15 banana = $9

1 banana = 9/15

1 banana = 3/5

1 banana = $0.6

Thus,

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2

Answers

Step-by-step explanation:

if x = -2

= 9x² - 4x - 3

= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]

= 9 × 4 + 8 - 3

= 36 + 8 - 3

= 44 - 3

= 41

[tex]\huge{\boxed{{ x = -2}}}[/tex]

[tex] 9x² - 4x - 3[/tex]

[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]

[tex]↠ 9×4+8-3[/tex]

[tex]↠ 36 + 8 -3[/tex]

[tex]↠ 44-3[/tex]

[tex]↠ 41[/tex]

[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]

The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

A. 32.4

B. 97.2

C. 121.5

D. 162. 1​

Answers

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

Water flows through a drain at a rate 2kl/min
How much water flows through the drain in one hour

Answers

Answer:

Step-by-step explanation:

2 kl/min * 60 minutes = 120 kl

Answer:

120 kl/min

Step-by-step explanation:

There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min

How do you divide a whole number by a fraction, for example

7 divided by 3/4

Answers

[tex]7 \div \frac{3}{4} = \\ [/tex]

[tex]7 \times \frac{4}{3} = \\ [/tex]

[tex] \frac{7 \times 4}{3} = \\ [/tex]

[tex] \frac{28}{3} \\ [/tex]

Which of the following sets of ordered pairs represents a function? A. { (-10, -4), (17, 11), (4, 10), (4, -14) } B. { (7, 8), (-21, -8), (7, -8), (-21, 8) } C. { (14, 8), (-14, -8), (8, 14), (-8, -14) } D. { (14, 8), (14, -8), (8, 14), (8, -14) }

Answers

Answer:

C

Step-by-step explanation:

because for any domain ,you will get only one range value ,

but ,there are two range values for 4 in A;

two range values for 7, and also for 21  in B;

two range values for 14 and for 8 in D

5/6−1/6 Subtract the fractions.

Answers

5/6- 1/6 = 4/6 simplified to 2/3 bc they have a gcf of 2

Answer:

4/6 but its 2/3 simplified.

Step-by-step explanation:

You may subtract the numerator but not the denominator.

an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella

Answers

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

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