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Given:

[tex]Domain\neq -1[/tex]

[tex]Range\neq 2[/tex]

To find:

The function for the given domain and range.

Solution:

A function is not defined for some values that makes the denominator equals to 0.

The denominator of functions in option A and C is [tex](x-1)[/tex].

[tex]x-1=0[/tex]

[tex]x=1[/tex]

So, the functions in option A and C are not defined for [tex]x=1[/tex] but defined for [tex]x=-1[/tex]. Therefore, the options A and C are incorrect.

In option B, the denominator is equal to [tex]x+1[/tex].

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

So, the function is not defined for [tex]x=-1[/tex]. Thus, [tex]Domain\neq -1[/tex].

If degree of numerator and denominator are equal then the horizontal asymptote is [tex]y=\dfrac{a}{b}[/tex], where a is the leading coefficient of numerator and b is the leading coefficient of denominator.

In option B, the leading coefficient of numerator is 2 and the leading coefficient of denominator is 1. So, the horizontal asymptote is:

[tex]y=\dfrac{2}{1}[/tex]

[tex]y=2[/tex]

It means, the value of the function cannot be 2 at any point. So, [tex]Range\neq 2[/tex].

Hence, option B is correct.

Answer: 1/8

Step-by-step explanation:

Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.

Answer:

Step-by-step explanation:

sum of exterior angles of a polygon=360°

x+38+45+5x+72=360

6x=360-155=205

x=205/6=34 1/6

second question

x+3x+4x+5x+7x=360

20x=360

x=360/20=18

x=18

Based on the graph, the following statements are true:

A. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.

As a result, the right responses are A and D.

To know more about graph:

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Answer:

Answer is 0.14.

Step-by-step explanation:

The probability that a student earns a grade of D or F is 0.14.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student earns a grade of D or F, we need to add the frequencies of these two grades and divide by the total number of students:

P(D or F) = (3 + 2) / 35

P(D or F) = 5 / 35

P(D or F) = 0.14 (rounded to the nearest hundredth)

Therefore,

The probability that a student earns a grade of D or F is 0.14.

Learn more about probability here:

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Answer:

they are the dame line...

A. Infinitely many solutions

Step-by-step explanation:

Step-by-step explanation:

To Find :-

Solution :-

Using Distance Formula ,

> d = √{ ( 2-3)² + (0-1)² + (-1-4)² }

> d = √{ (-1)² + (-1)² + (-5)² }

> d = √{ 1 + 1 + 25 }

> d = √26 .

Using midpoint formula ,

> m = ( 2+3/2 , 0+1/2 , -1+4/3 )

> m = ( 5/2 , 1/2 , -3/3 )

> m = ( 2.5 , 0.5 , -1 )

Answer:

I know that the Perimeter is 4000. So, 4000=L+2w because we are not using on of the lengths.

What I did is inputed 4000-2x in for L, but I got 0. What do I do?

Step-by-step explanation:

it just is I think it should be

Answer:

80 square units

536.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

First one.

2 Trapezoids

A = [tex]\frac{(base_{1} +base_{2}) }{2}[/tex] x h

A = [tex]\frac{10 + 6}{2}[/tex] x 2

A = 16

One rectangle

A = b x h

A = 6 x 8

A = 48

Total Area = 16 + 16 + 48 = 80

Second one:

Two triangles:

A = [tex]\frac{(b)(h)}{2}[/tex]

A = [tex]\frac{10(8.66)}{2}[/tex]

A = [tex]\frac{86.6}{2}[/tex]

A = 43.3

One large rectangle

A = b x h

A = 30 x 15

A = 450

Total Area = 450 + 43.3 + 43.3 = 536.6

Answer:

A=80

Step-by-step explanation:

A=1/2(6+10)2

A=16(2)

A=32

A=8x6

A=48+32

A=80

Answer:

The 3rd:

f(x) = (x - 1)(x - 1)(x – 6)

Step-by-step explanation:

Its roots are the x-values for which f(x)=0, that are:

x1=1

x2=1

x3=6

Step-by-step explanation:

In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases.  In an inverse proportion, the product of the matching quantities stays the same.

Answer:

Both direct and indirect proportion are a comparison between two quantities (usually with different units).

In a direct proportion, as one quantity increases, the other also increases.

Examples would include:

If you buy more packets, it will cost more money.

If you have further to travel it will take more time.

If more people are to be fed, more food will be need.

If more people are to be transported, more cars/buses are needed.

More petrol is needed for longer distances.

Bigger area of floor will require more tiles/paint/wood.

A longer distance will need more paces to cover.

More dresses to be made will require more material.

In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions).

k

=

x

y

In an indirect (or inverse) proportion, as one quantity increases, the other decreases.

If more people share a task, it will be done in less time.

Travelling at a faster speed means a trip will take less time.

If sugar is packed in smaller packets, more packets will be needed for the same mass.

For the same amount of money, a small parcel can be sent further than a bigger parcel.

If more people are being fed, food will be used up quicker.

For a fixed amount of money, as the price of presents increases, fewer can be bought.

Walking with longer strides means fewer paces are needed.

In an inverse proportion, the product of the matching quantities stays the same.

k

=

x

×

y

A hyperbola is the graph of inverse proportion.

Step-by-step explanation:

, .

Answer:

88.27 cm^2

Step-by-step explanation:

Cherry=4(3.14)(1.5)^2

=28.27

Cookie=2·(5·5+0.5·5+0.5·5)

=60

60+28.27=88.27

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about  26 feet tall.

I hope this helps!

Answer:

The last answer choice, or [-15 14  4a]

                                             [-4 5b -23]

                                             [  ?   ?   ?  ]

Step-by-step explanation:

In order to subtract matrices, they have to have the same dimensions, which this problem provides(both 3x3) Then, just subtract the numbers on the right from the corresponding numbers on the left. Example: -3-12=-15, which is the top left answer. Repeat with all positions.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

compare with y=mx+b

m=-1

b=4

(b)

area of triangle=1/2×4×4=8 square units.

Step-by-step explanation:

if that's x^2+25

they can be factored to x+5

because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25

Answer:

She's, "HOT"!

Step-by-step explanation:

Answer:

We need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.

Step-by-step explanation:

The number of squares required to cover the field is equal to the area of the field divided by the area of a square:

[tex]n = \frac{A}{l^{2}}[/tex] (1)

Where:

[tex]n[/tex] - Quantity of squares, in feet.

[tex]A[/tex] - Area of the field, in square feet.

[tex]l[/tex] - Length of each square, in feet.

If we know that [tex]A = 57600\,ft^{2}[/tex], then we have the following hyperbolic function:

[tex]n = \frac{57600}{l^{2}}[/tex]

Now we plot the function with the help of graphing tools, whose result is presented below. Please notice that quantity of squares must be an integer and we need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.

Answer:

D

Step-by-step explanation:

because there is an even number of negatives\

Hope this help have a good day

Answer:

4 th option

Step-by-step explanation:

The product of an even / odd amount of positive numbers is positive

The product of an even amount of negative numbers is positive.

The product of an odd amount of negative numbers is negative.

Option 1

The product of 1 positive and 3 negative numbers will be negative

Option 2

Similar to option 1

Option 3

The product of 3 positive and 1 negative will be negative

Option 4

The product of 2 negative and 2 positive numbers will be positive

Answer:

$4,562.5

Step-by-step explanation:

The amount Arvin has to invest, P = $10,000

The interest paid on the investment in the term deposit = 5%/year

The interest paid om the investment in Canada savings bonds = 3.4%/year

The amount Arvin earned at the of the year as simple interest, A = $413

Let, x, represent the amount Arvin invested in the term deposit and let, y, represent the amount he invested in Canada savings bonds, we can get the following system of equations

x + y = 10,000...(1)

0.05·x + 0.034·y = 413...(2)

Making y the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of y in equation (2) gives;

0.05·x + 0.034 × (10,000 - x) = 413

∴ 0.05·x - 0.034·x + 340 = 413

x = (413 - 340)/(0.05 - 0.034) = 4,562.5

Therefore, the amount Arvin invested in the term deposit at 5%, x = $4,562.5

(y = 10,000 - x

∴ y = 10,000 - 4,562.5 = 5,437.5

The amount Arvin invested in Canada savings bonds, y = $5,437.5.)

Answer:

RQ = 9 units

Step-by-step explanation:

Answer:

32, 34

Step-by-step explanation:

The answer must be grater than 30 so 30 is not an option the integers in the range are 31, 32, 33, and 34 the only even integers in this set are 32, and 34. Hope this helps. :)

Answer:

acute angle and number 3 is obtuse

Step-by-step explanation:

[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]

Answer:

[tex]\$6[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

[tex]Dial\ Up = \$5 : 100[/tex]

and

[tex]Ring\ Ring= \$8 : 200[/tex]

Multiply the dial-up by 6 to get the cost of 600

[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]

[tex]Dial\ Up = \$30 : 600[/tex]

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

[tex]Ring\ Ring= \$8 *3: 200*3[/tex]

[tex]Ring\ Ring= \$24: 600[/tex]

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

[tex]d = \$30 - \$24[/tex]

[tex]d = \$6[/tex]

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Answer:

g(x) = |x-7|+4

Step-by-step explanation:

If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.

The vertex is at points (7,4)

4=|7-7|+4 : 4=4.

Answer:

Here we need to use:

[tex]\sqrt{x^2} = |x|[/tex]

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between:

(-3, -5) and (9, -5) is just:

[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]

because both numbers inside the absolute value, we can rewrite it as:

|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12

So, by finding the distance between  (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.

Answer:

under

Step-by-step explanation:

The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Answer:

b. remains unchanged

Step-by-step explanation:

Formula for standard error of mean is;

SE = σ/√n

From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.

Now, we are given that;

random sample; n = 100

Standard deviation; σ = 1

Thus;

SE = 1/√100

SE = 1/10

Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.

Thus, SE remains unchanged.