Find the vertical asymptote(s) of f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}
x = −1, 2
x = −2, 2
x = 1, −2
x = −1, 1

Answer:

Let's denote the length of the rectangle to be L and the width to be W.

The first sentence tells us that the length, L, is "4 less than twice the width". "4 less than" implies we subtract 4 from some quantity. What is that quantity? Well that's "twice the width." We can rewrite this sentence in terms of L and W as: L = 2W - 4.

Now we know the length of the rectangle in terms of the width.

The area of a rectangle is given by A = L x W. Using this equation, we can substitute our values for area and length:

A = L x W

96 = (2W - 4) x W

From this we can solve for W and subsequently solve for L using algebra:

96 = (2W - 4) x W

96 = 2W^2 -4W

96 = 2(W^2 - 2W)

48 = W^2 - 2W

W^2 - 2W - 48 = 0

(W - 8)(W + 6) = 0

W = 8 or W = -6

Since W is the side-length of a rectangle, we can disregard the negative solution. Therefore W = 8 ft.

If W = 8, then L = 2W - 4 = 2(8) - 4 = 12 ft.

Lastly, we know the Perimeter of a rectangle is given as P = 2L + 2W. Substituting into this equation we solve for the perimeter:

P = 2L + 2W = 2(12) + 2(8) = 40 ft.

Step-by-step explanation:

Answer:

ur question doesnt make sense

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

For the given statement "the sum of a number and 12.6 is more than −3.5" the inequality is b + 12.6 > −3.5. Option C is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.For the inequality, we have to apply the arithmetic operation.

It is given that the sum of the number 12.6 is more than −3.5.

If the two numbers are b and 12.6 their sum is represented as b + 12.6 and the sum of the number is more than −3.5.

The obtained relation in form of inequality is,

b + 12.6 > −3.5

When we are unsure if the value of a variable is greater than a specific value, we use the "Greater than " symbol in linear inequalities. It is represented by the character ">" 

Thus, for the given statement "the sum of a number and 12.6 is more than −3.5" the inequality is b + 12.6 > −3.5. Option C is correct.

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The 36cm of specimen will contain an amount of 4.32 grams of blood.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 10 cm of a normal specimen of human blood contains 1.2 g of hemoglobin. The amount of hemoglobin in 36 cm will be calculated as below:-

10 cm = 1.2g

1 cm = 1.2 / 10 = 0.12 g

36 cm = 36 x 0.12

36 cm = 4.32 grams

Therefore, the 36cm of specimen will contain an amount of 4.32 grams of blood.

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Based on the calculations, the length of the arc of this circle is equal to: C. 11.5 ft.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.

Mathematically, the length of an arc formed by a circle is given by:

Arc length = 2πr × θ/360

Where:

Substituting the given parameters into the formula, we have;

Arc length = 2 × 3.142 × 11 × 60/360

Arc length = 11.520 ≈ 11.5 feet.

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100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same

Company A rented a truck for  ​$70 a day and $.5 per mile will be added accordingly. Similarly, Company B rented a truck for  ​$30 a day and $.9 per mile will be added as per distance covered.

Let the number of miles travelled by the truck be x.

Then, we can depict the given information in terms of equation and will equate them further to solve according to the question need.

So, total rent to be pay to company A = ​$(70+0.5x)

and total rent to be pay to company B = ​$(30+0.9x)

Now, the number of miles in a day at which the rental costs for Company A and Company B are the same will be

70+0.5x = 30+0.9x .............(1)

Now, solve equation (1) in order to calculate the value of x.

70-30 = 0.9x-0.5x

40 = 0.4x

40/0.4 = x

400/4 = x

100 = x

∴ x = 100

Hence, 100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same.

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Answer:

290

Step-by-step explanation:

this is long division. (N.B: any number that you get after dividing it by nine, put it in the boxes at the top). Nine cannot go into 2 therefore you would go to the next number and you get 26 and then divide the 26 by 9. When you divide 26 by 9 your answer will be 2 but two multiplied by 9 is 18 and not 26, therefore you will minus the 18 from the 26 as it is shown above and your answer will be 8 so you should write 8 under the 8 that is under the 6 and carry down number 1. Then you will get 81 and you should then divide 81 by the 9. 9 into 81 goes 9 times therefore you next answer is nine. then you minus the answer you would get when you multiply 9 by 9 from 81 which would be equal to 0. 9 into 0 gives you 0 so the answer you would put in the last box is 0. therefore your final answer is 290.

Answer:

x=11

Step-by-step explanation:

(3x-1)+(6x-8)= 90

9x- 9= 90

+9 +9

9x=99

/9 /9

x=11

Answer:

I think its 48

Step-by-step explanation:

miltiplication/times tables

Answer: y=3x-9

Step-by-step explanation:

Answer:37.68/18.84

Step-by-step explanation:.

Given that problem as follows:

Solve x,

         ⇒ −3(6−2x)≥4x+12

First we must simplify the inequality

Inequality means:

With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval.

Multiply the values, then

         ⇒ −18+6x≥4x+12

         ⇒ 6x-4x≥12+18

Subtract the 'x' values

We can write,

         ⇒ 2x≥12+18

Add the 12+18=30

We can write,

         ⇒ 2x≥30

         ⇒ x≥30/2

         ⇒ x≥15

From this, it can be seen that as long as x is equal or more than 15, then it will satisfy the equation.

In mathematical expression, that means [15, ∞). Thus, the answer is [15, ∞).

Therefore,

[15,∞) interval includes all possible values of x, where –3(6 – 2x)≥4x+12

So, the answer is [15,∞).

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The value of T will be√74.1

The number line contain point T as shown in the figure. The number line has 7, 8, and 9 marked

There is line in the middle of point 8 and 9

Point T is located away from 8.5.

Since 8 is the square root of 64. And number 9 is the square root of 81. So the 64 and 81 are the perfect square number.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3.

Since 8.5 is not a perfect square number so it must be a square between the number 64-81.

Point T is located away from 8.5

So therefore the answer will be √74.1

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Answer:

If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

Step-by-step explanation:

Congruent/Congruency: having the same size and shape congruent triangles.

Theorem 1: If a line is drawn parallel to one side of a triangle to intersect the midpoints of the other two sides, then the two sides are divided in the same ratio.

I hope this helped, have a great day <3

Step-by-step explanation:

What did the Rana rulers do to please the British rulers?

The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

The point on f(x) given has the coordinate (7, 5).

Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).

Thus, to get this, the transformation rule is;

(x, y) = (x - 2, y - 4)

Thus, this means move the function 4 units downwards and then by 2 units to the left.

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Answer: 15.77

Step-by-step explanation: We know that Milans car had 19.57 gallons of fuel, so I subtracted 19.57 - 3.8 to get my answer.

Answer:

40,40,20

Step-by-step explanation:

40+40+20=100

Answer:

20 + 40 + 40 = 100

50 * (40/20) = 100

Based on the cost of membership per month and the number of movies rented, the charge for the month of May can be represented as 15 + 2n.

The movie rental club charges a flat $15 for membership per month.

The movies rented incur a charge of $2 per rental.

The total cost for May and any other month is:

= Membership fee + 2 x number of movies rented

Number of movies rented is n so the equation for the cost of May is:
= 15 + 2n

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The answer will be 16 minutes.

In mathematics and statistics, the arithmetic mean or arithmetic average, or just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection

An arithmetic average is the sum of a series of numbers divided by the count of that series of numbers. If you were asked to find the class (arithmetic) average of test scores, you would simply add up all the test scores of the students and then divide that sum by the number of students.

The arithmetic mean or mean is the simplest way to calculate the average for the given set of numbers. It is classified into two different types, namely simple arithmetic mean and weighted arithmetic mean.

leave at 7 a.m.=

x₁= 32+28+35+26+39/5

⇒ 160/5

⇒ 32 minutes.

x₂ = 46+44+52+50+48/5

⇒ 240/5 = 48 min

Δx = x₂- x₁

= 48-32

= 16minutes.

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3 banana=(3÷4×#469.41)

Note:a pound is equal to 469.41 naira.

3=3×117.60

3=352.8

Then,352.8 ÷3

=117.6

The answer is Discrete

Answer:

B

Step-by-step explanation:

Tori's pay for the week will be $273.75 .

Tori's per hour earning = $12.50

Suppose Tori work 30 hours a week in her part time job.

Then, Total working hour in a week = 30 Hours

Total earning in a week = $12.50 × 30

                                     = $375

Tax deduction from Tori's paycheck = 27% of Total earning

                                                        = 27/100 × 375

                                                        = $101.25

Tori's pay for the week = Total earning - Tax deduction

                                   = $375 - $101.25

                                   = $ 273.75

Thus, Tori's pay for the week after deduction of taxes is $273.75.

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Based on the graduated state tax table and the personal allowance table, the amount withheld from Anita Marquez's biweekly paycheck for state income taxes is $103.50

First, Anita is married and will receive a personal allowance of $4,000. She will also receive $2,000 per dependent. Total allowances are:

= 55,520 - 4,000 - 2,000 - 2,000

= $47,520

Total annual tax is:

= (1.50% x 1,000) + (3% x 2,000) + (4.50% x 2,000) + (5% x (55,520 - 1,000 - 2,000 - 2,000 ))

= $2,691

The biweekly tax is:
= 2,691 / (52 / 2)

= $103.50

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The number of reptiles will be 63.

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.

Let the number of mammals and reptiles be 3x and 7x

the store has total 90 animals

so total number of animals will be

90= 3x+7x

90= 10x

so x will be 9

number of mammals  will be 3×9= 18

number of reptiles will be 7×9= 63.

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The price of the honey per ounce will be $0.45 per ounce.

From the information given, at the supermarket you can fill your own honey bear container and a customer buys 12 oz of honey for $5.40

Therefore, the price per ounces will be:

= Total price / Number of ounces

= $5.40 / 12

= $0.45 per ounce

Therefore, the price of the honey per ounce will be $0.45 per ounce.

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