Did the vertical or horizontal asymptote change? If it didn’t change, why not?

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

(i) The dual of the given LP problem can be found by following these steps:

1. For each constraint in the primal problem, create a dual variable. In this case, we have three constraints, so we'll have three dual variables: y1, y2, and y3.
2. The objective function of the dual problem will be the sum of the products of the primal variables and their corresponding dual variables. So, the dual objective function is:
  Maximize w = 3y1 + 2y2 + y3.
3. For each primal variable x, create a constraint in the dual problem with the coefficient of the corresponding dual variable equal to the coefficient of x in the primal objective function. So, the dual constraints are:
  y1 + 2y2 - y3 ≤ -2
  y1 + y2 + y3 ≤ -1
  y1, y2, y3 ≥ 0.

(ii) To find the optimal solution to the dual problem, we need to solve the optimal tableau of the dual problem. From the given information, we know that Row 0 of the optimal tableau is:
  w = 4x1 + e2 + (M-1)a2 + (M+2)a3 = 0.
 
  However, the given information does not provide any details about the values of x1, e2, a2, or a3. Therefore, without this information, we cannot determine the specific optimal solution to the dual problem.

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Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Answer:

Therefore, the fee of the younger child is Rs 10,000, and the fee of the elder child is Rs 11,000.

Step-by-step explanation:

Let's assume that the fee of the younger child is 'x'. Then the fee of the elder child is '1.1*x' since it is 10% more than the fee of the younger child. The total fee paid by Salman for both his children is Rs 21,000. Therefore, we can write an equation as follows:

x + 1.1*x = 21,000

Simplifying the above equation, we get:

2.1*x = 21,000

x = 10,000

Thus, the fee of the younger child is Rs 10,000, and the fee of the elder child is 10% more, which is Rs 11,000.

Therefore, the fee of the younger child is Rs 10,000, and the fee of the elder child is Rs 11,000.

The algebraic expression is (x² - 4x - 21)/4(x - 7) , we need to find the simplified value of it . Therefore , the simplified form is (x + 3)/4 .

What is simplification?

Rules are typically rewritten to achieve this simplicity. Systems for computer algebra use them in a methodical way. Associative operations, such as addition and multiplication, can be challenging. It is common practice to approach associativity by assuming that addition and multiplication can have any number of operands, such that the symbol for a + b + c is "+." (a, b, c). It follows that a + (b + c) and (a + b) + c are both condensed to "+"(a, b, c), which is shown as a + b + c.

In the question ,it is given that ,

the algebraic expression is (x² - 4x - 21)/4(x - 7) ,

we need to find the simplified value of it .

we first simplify the

numerator

that is x² - 4x - 21 ,

By using the split the

middle term method ,

we get ,

= x² - 7x  3x - 21

= x(x - 7)  3(x - 7)

= (x  3)(x - 7)

Writing the simplified numerator in the expression ,

we get ,

= (x  3)(x - 7)/4(x - 7)

cancelling out the common term (x-7) , we get

= (x  3)/4

Therefore , the simplified form is (x + 3)/4  . It is important to take into account different classes of rewriting rules. The easiest are formulas like E E 0 or sin(0) 0 that always make the expression smaller.

Complete question

What is the simplified form of the expression  

(x² - 4x - 21)/4(x - 7) ?

(a) (x+3)/4

(b) (x-3)/4

(c) (x+3)/(x-7)

       (d) (x-3)/(x-7)

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Answer:

128°

Step-by-step explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x  = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°

Answer:

None really look like a solution. I mean, that's what I think, honestly.

Answer:

8/17

Step-by-step explanation:

SohCahToa

Cos = adj/hypo

Cos C = 24/51

Simplify common denominator is 3

Cos C = 8/17

Answer:

hope this helps

Step-by-step explanation:

if u know how to find the area then u can have a go

but i have put the co-ordinates on

hope it helps

plz mark as brainliest

thank you

19NBoli

:)

Answer:

2.2

Step-by-step explanation:

2.189 to 2 significant figures is 2.2

Answer

Hope it helps

Answer:

D and C

Step-by-step explanation:

I don't really know if my answers are even correct but I did some research on them. I don't want to waste your time --or mine.

Answer: It is D

Step-by-step explanation: It is correct

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

\(y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2\)

We have the final answer as

\(y = \frac{2}{3} x - 6 \\ \)

Hope this helps you

Answer: k = √27-i

Step-by-step explanation:

The Solution:

The correct answer is j = 21 [option B]

Given:

We are required to solve for j.

Cross multiply:

Answer:

see photo #12

Step-by-step explanation:

Step-by-step explanation:

8

Answer:

area

Step-by-step explanation:

Answer:

Step-by-step explanation:

 x/4 < -1, or

 x < -4

Answer:

If a+1/a=4, then (a+1/a)^3=4^3, and 4^3=4x4x4=64

Answer:

(a + 1/a)^3 = A^3 + 13.75.

Step-by-step explanation:

To solve this problem, we first need to simplify the expression (a + 1/a)^3 using the identity (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3.

Let's start by expanding (a + 1/a)^3:(a + 1/a)^3 = a^3 + 3a^2(1/a) + 3a(1/a)^2 + (1/a)^3

We can simplify this expression using the fact that 1/a^2 = 1/a * 1/a:

(a + 1/a)^3 = a^3 + 3a + 3/a + 1/a^3

Now, we can substitute the given equation A + 1/a = 4:

(a + 1/a)^3 = A^3 + 3A + 3(1/A) + 1/a^3

We still need to find the value of a^3 + 1/a^3. To do this, we can use the identity a^3 + b^3 = (a + b)(a^2 - ab + b^2), where a = a and b = 1/a:

a^3 + (1/a)^3 = (a + 1/a)(a^2 - a(1/a) + (1/a)^2)

a^3 + (1/a)^3 = (a + 1/a)(a^2 - 1 + 1/a^2)

But we know that A + 1/a = 4, so A^2 + 1/a^2 = (A + 1/a)^2 - 2 = 4^2 - 2 = 14. Substituting this in the previous expression gives:

a^3 + (1/a)^3 = (4)(14 - 1) = 52

Finally, substituting in the expression we derived earlier for (a + 1/a)^3 gives:

(a + 1/a)^3 = A^3 + 3A + 3(1/A) + 52

We know that A + 1/a = 4, so substituting this gives:

(a + 1/a)^3 = A^3 + 3(4) + 3(1/4) + 52 = A^3 + 13.75

Therefore, (a + 1/a)^3 = A^3 + 13.75.

The volume of the prim is 24 cubic cm and each cube represents  4/3 cm³

Volume is defined as the amount of substance that can be filled in the shape in such a way that the whole figure is complete filled with that substance. Vοlume is defined as the space οccupied within the bοundaries οf an οbject in three-dimensiοnal space. It is alsο knοwn as the capacity οf the οbject.

Here the measure the cube measure of a centimetre on one side

Length of the prim = \(1*4=4 cm\)

Breadth of the prism = \(1*2=2cm\)

Height of the prism = \(1*3=3 cm\)

So, the volume of the prism = l*b*h

Volume of the prism = \(\rm 4*3*2=24\ cm^3\)

Hence, the volume of the prism is 24 cubic cm.

There are total 18 cubes, so each cube represents= 24/18 = 4/3

Thus, each cube represents  4/3 cm³

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The difference in the mean heights of Han and Priya's samples do not surpise me.

A sample is a smaller group of the population. A sample is sometimes needed as it might not be feasible to survey all the population due to large numbers. It might also not be  cost effective to access the whole population.

Han and Priya would measure different students, so it is expected that the mean heights would be different.

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Answer:35

Step-by-step explanation:

f(x) = x - 4

g(x) = 2x

We need to find g(f(-2)), which means

Find f(-2) at first by substitute x by -2 in f

f(-2) = (-2) - 4 = -2 - 4 = -6

Replace f(-2) by -6

Now we need to find g(-6)

Substitute x in g by -6

g(-6) = 2(-6) = -12

g(f(-2)) = -12

Answer:

27 : 100

Step-by-step explanation:

Given :

__________ no cold ____ cold _____ total

Vitamin C ___ 41 ________ 15 ______ 56

Zinc _______ 12 _________5 ______ 17

Echinacea __ 21 _________ 6 ______ 27

Total ______ 74 _________ 26 ____ 100

The ratio of people who took Echinacea :

Number of people who took Echinacea : total number of people in the survey

From the TOTAL column:

Number of people who took Echinacea = 27

Total Number of people in survey = 100

Hence, ratio equals :

27 : 100

−24x+16

Hope this helps!

Answer:

-24× + 16

Step-by-step explanation:

hope this helps :D

Answer:

it's the first one 3m

the height is always the straight line going through the parallelogram

Answer:

sorry this is wrong subject

Answer:

\(x^3 - 4x^2\) = Cubic degree, binomial term

\(3x^3 + 2x^2 -1\) = Cubic degree, trinomial term

2x + 5 = linear degree, binomial term

Step-by-step explanation:

\(x^3 - 4x^2\)  has a cubic degree because the term with the highest exponent is raised to the third power \((x^3)\).  It also has a binomial term because there are two terms in it,

\(3x^3 + 2x^2 -1\)  is also a  cubic degree because the term with the highest exponent is raised to the third power \((3x^3)\). It is also a trinomial term because there are three terms in it: \(3x^3 , 2x^2, and -1\).

2x + 5 is a linear degree because the terms are implicitly assumed to have an exponent of 1: \(2x^1 = 2x\), and \(5^1 = 5\). This is also a binomial term because it has two terms, 2x and 5.

The rule of the speed is

d is the distance

t is the time

Since the shark was swimming for 60 km, then

d = 60 km

Since the shark took 4 hours to do that, then

t = 4 hours

Divide them to find the speed of the shark

The shark was swimming at a speed of 15 km per hour

Answer:

3) = B

There are 147 trees.