HELP !!!.
I need help with these questions( see image).
Please show workings.

HELP !!!.I Need Help With These Questions( See Image). Please Show Workings.

Answers

Answer 1

9514 1404 393

Answer:

a) 7b) -27c) 18d) 8e) 2f) 1

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)


Related Questions

What's the area of the quarter circle if the diameter is 3 inches?

Answers

Answer:

Area of the full circle(A)= pi*d^2/4

A=3.143*3^2/4

A=7.07in^2

Area of the Quarter of the circle(B)

B=1/4A

B=1.77in^2

Step-by-step explanation:

PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP
I WILL GIVE A BRAINLIEST TO WHOEVER ANSWERS RIGHT
what is the square root of 2.4 divided by the reciprocal of 3 , divided by 0.483?

Answers

My answer is 1.192 I hope this helps u

Answer:

9.622318872565011

Step-by-step explanation:

The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967

And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:

1.549193338482967 x 3= 4.6475800154489

Finally, divide it by 0.483:

9.622318872565011

Tip: you should use a calculator on questions like these.

My last one please help me

Answers

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!

Answers

Answer:

Is this a test

Step-by-step explanation:

Rite the phrase as an expression. Then evaluate when y=20. 3 less than the quotient of a number y and 4 Expression: When y=20, the value of the expression is .

Answers

Answer:

[tex]\frac{y}{4} - 3[/tex]

[tex]\frac{y}{4} - 3 = 2[/tex] -- when y = 20

Step-by-step explanation:

The quotient of y and 4 can be represented as:

[tex]\frac{y}{4}[/tex]

3 is less the above expression is:

[tex]\frac{y}{4} - 3[/tex]

So, the required expression is: [tex]\frac{y}{4} - 3[/tex]

When y = 20, we have:

[tex]\frac{y}{4} - 3 = \frac{20}{4} - 3[/tex]

[tex]\frac{y}{4} - 3 = 5 - 3[/tex]

[tex]\frac{y}{4} - 3 = 2[/tex]

Answer:

555

Step-by-step explanation:

edge test 100%

1. Which polygon or polygons are regular?

Answers

A and C is your answer

The polygons that are regular are:

Triangle, Parallelogram, and Square.

Options A, B, and C are the correct answer.

What is a cube?

It is a polygon having six faces.

The volume of a cube is side³.

We have,

A regular polygon is a polygon where all the sides are equal and the interior angles are equal.

Now,

Figure 1 is a triangle.

Figure 2 is a parallelogram.

Figure 3 is a square.

Figure 4 does not have the same side and the same interior angles.

Thus,
Figure 4 is not a regular polygon.

Learn more about cubes here:

https://brainly.com/question/11168779

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8•1 and 8
pls need help ASAP​

Answers

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

the ratio of PHP 600 to 12 hours​

Answers

Answer:

50:1

Step-by-step explanation:

600/12

1 hour for every 50 PHP

Determine the value of x.

Answers

Answer:

The value of x is 14.75(2)

Step-by-step explanation:

If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

x = 14.75

The original price of last year's gaming system was $699. It is now selling at a 19% discounted price. What is the sale price?

Answers

Answer:

$566.19

Step-by-step explanation:

If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)

I need help, I am not familiar with this.

Answers

Answer:

the first did it correct

Step-by-step explanation:

Solve for y.
3/11=6/y

Answers

Solve for y.3/11=6/y

ANSWER

[tex]y = 22[/tex]

EXPLANATION

Multiply both sides by y × 11

[tex]3y = 6 \times 11[/tex]

Solve a solution to y

[tex]y = 22[/tex]

HopeItHelps you

HELLO URGENT PLS HELP ME WITH THIS

Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.

1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.

2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.​

Answers

Answer:

try subtracting 1000,000-40000. I may be wrong

REEEEEEEEEEEEEEEEE I need help plz ;-;

Answers

Answer:

Step-by-step explanation:

150 ft in 30 seconds

150/30=5    we have 5 ft per second

in 10 seconds 5*10=50 ft

choice C

Answer:

C: y=5x; 50

Step-by-step explanation:

Dividing 130 by 5 tells you that they travel 5 feet per second.

So,

y=5x

y=5(10)

50

Need help asap please

Answers

Answer: it is B. 39t + 54

Step-by-step explanation:

9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))

36t + 54 + 3t --- (combine like terms, 36t + 3t)

39t + 54

B) 39t+54
Multiple 9(4t+6)
36t+54+3t
Add all together
39t+54

Simplify the polynomial using multiplication.

−5b(2a−3a2)


−10a+3ba^2

−10ba+15ba^2

−5b+2a−3a^2

10ba−15ba^2

Answers

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

https://brainly.com/question/17419800.

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Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?

Answers

Answer:

In 3 min = 4 1/2

10 min = 15

If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)

1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km

Answers

Answer:

1407.43 would be your answer

Step-by-step explanation:

The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)

Can someone Help me with this ? :C and put in the Workings

Calculate the following by long or short division. Give your answers to TWO decimal places.

1.
[tex]456 \div 2[/tex]

2
[tex]538 \div 7[/tex]

Answers

Answer:  1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]

Step-by-step explanation:

The given division problems :

[tex]1.\ 456\div2[/tex]

[tex]2.\ 538\div7[/tex]

By long division (see the attachment)

1. Divisor= 2

Dividend =456

Quotient = 228

Remainder =0

So, [tex]456\div2 =228[/tex]

2. Divisor= 7

Dividend = 538

Quotient =76.85

so, [tex]538\div7=76.85[/tex]

12x=-4y-8 in slope-intercept form

Answers

Answer:

x=-y

Step-by-step explanation:

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.

Answers

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

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Simplify the expression. . 1 V 3.0 2​

Answers

Answer:

81x^4/16  (81x to the fourth over 16)

Step-by-step explanation:

First you apply the exponent rule: (a/b)^c  ->  a^c/b^c

So it looks like this: 3x^2/4^2

Then you apply the exponent to the whole thing, and 3^4 is 81, x^4 stays like that, and 2^4 is 16

You can't simplify any more after that so that's your answer

Hope this helps!

6. Create an equation and solve for n.
5n - 11

Answers

Answer:

11-n=5

Step-by-step explanation:

Helppp againnn... please-

Answers

Answer:

Its 16/81

Step-by-step explanation:

PLZ HELP ASAP!!!Solve the inequality -20+6x>10

Answers

Answer:

x>5

Step-by-step explanation:



The equation of a curve is
[tex]y = 4x {}^{3} + 4px {}^{2} + 16x - 9[/tex]
Find the range of values of p such that y is an increasing function.

Answers

Let's solve for p.

[tex]y=4x3+4px2+16x−9[/tex]

Step 1: Flip the equation.

[tex]4px2+4x3+16x−9=y[/tex]

Step 2: Add -4x^3 to both sides.

[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]

[tex]4px2+16x−9=−4x3+y[/tex]

Step 3: Add -16x to both sides.

[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]

[tex]4px2−9=−4x3−16x+y[/tex]

Step 4: Add 9 to both sides.

[tex]4px2−9+9=−4x3−16x+y+9[/tex]

[tex]4px2=−4x3−16x+y+9[/tex]

Step 5: Divide both sides by 4x^2.

4px² / 4x² = −4x³ − 16x + y + 9 / 4x²

Answer:

p = −4x³ − 16x + y + 9 / 4x²

f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).

Answers

Step-by-step explanation:

(-6x^3+8x^2+4x-4)

option D is correct answer

Answer:A

Step-by-step explanation:

I dont understand pls help me

Answers

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

5(3+4) is the same as 5•3 and 5•4
which ends up to be 15+20=35

A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,

Answers

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

A bouncy castle can be hired for party's. The cost is given by Cost=£4.70 times number of children + £86. What is the cost of the bouncy castle for 13 children. At a different party, the cost of hiring the bouncy castle was £165.90.How many children went to the party.

Answers

Answer:

A. £147.10

B. 17 children

Step-by-step explanation:

Let

Number of children = x

Cost of hiring a bouncy castle = £4.70 * x + £86

What is the cost of the bouncy castle for 13 children

Cost of hiring a bouncy castle = £4.70 * 13 + £86

= £61.1 + £86

= £147.10

How many children went to the party when cost of hiring bouncy castle = £165.90

Cost of hiring a bouncy castle = £4.70 * x + £86

£165.90 = £4.70 * x + £86

165.90 = 4.70x + 86

165.90 - 86 = 4.70x

79.9 = 4.70x

x = 79.9/4.70

= 17

x = 17 children

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