Given the polynomial f(x) = 3x ^ 3 - 4x ^ 2 - 3x - 1 what is the smallest positive integer a the Intermediate Value Theorem guarantees a zero exists between 0 and a? Enter an integer as your answer . For example , if you found a = 8 you would enter 8. Provide your answer below .

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

For buying by credit card

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

For buying by credit card

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Answer:

1- yes

2- yes

3- no

4- no

5- no

6- yes

Step-by-step explanation:

Answer:

n = 4.5

Step-by-step explanation:

10 - 5.5 = n

Answer:

I feel like its 4.5

Step-by-step explanation:

Answer:

the new price of the radio is $39.81

Step-by-step explanation:

multiply the cost by the mark up to find how much the price was raised by

29.49•0.35= 10.32

then add the mark up to the original price

10.32+29.49= $39.81

and I rounded to the hundreds place because it's money

hope this helps babe <3

Answer:

I think it is $21.84

Step-by-step explanation:

Answer:

(m+6)+m=30

Step-by-step explanation:

Answer:

14

Step-by-step explanation

Answer: right of the picture

Step-by-step explanation:

Answer:

102cm2

Step-by-step explanation:

Split the shape into two rectangles:

A. 4 x 8 = 32cm2

B. 7 x 10 = 70cm2

70 + 32 = 102cm2

Answer:

[tex]Mean = 47[/tex]

[tex]n = 6[/tex]

[tex]s= 16.56[/tex]

[tex]\sqrt n = 2.45[/tex]

[tex]SEM = 11.55[/tex]

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

[tex]Mean = \frac{\sum x}{N}[/tex]

[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]

[tex]Mean = \frac{846}{18}[/tex]

[tex]Mean = 47[/tex]

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

[tex]n = 6[/tex]

Solving (c): Standard deviation (s)

This is calculated as:

[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]

So, we have:

[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]

[tex]s= \sqrt{\frac{4936}{18}}[/tex]

[tex]s= \sqrt{274.22}[/tex]

[tex]s= 16.56[/tex]

Solving (d): Square root of n

[tex]\sqrt n = \sqrt 6[/tex]

[tex]\sqrt n = 2.45[/tex]

Solving (e): SEM

This is calculated as:

[tex]SEM = \frac{s}{\sqrt N}[/tex]

[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]

[tex]SEM = \frac{47}{4.07}[/tex]

[tex]SEM = 11.55[/tex]

The answer is y < 15

Answer:

y<15

Step-by-step explanation:

Subtract 12 from both sides.

2y+12−12<42−12

2y<30

Step 2: Divide both sides by 2.

2y

2

<

30

2

y<15

Answer:

y<15

Answer:

64

Step-by-step explanation

48/36=4/3

36x4/3=48 so...

48x4/3=64

Answer:

64

Step-by-step explanation:

Answer:

6 ft = 2 yd

6 ft = 6 x 1 ft

= 6 x 2 yd

= 12 yd

Answer:

[tex]\dfrac{4}{7}[/tex]

Step-by-step explanation:

A fraction can be written as :

[tex]F=\dfrac{x}{y}[/tex]

Where

x is numerator and y is denominator

We need to write a fraction for denominator 7 and numerator 4.

Substitute the values,

[tex]F=\dfrac{4}{7}[/tex]

Hence, the fraction is equal to [tex]\dfrac{4}{7}[/tex].

Answer:

12.04

Step-by-step explanation:

Formula:

a² + b² = c²

8² + 9² = c²

64 + 81 = c²

145 = c²

c = 12.04

________________________________

________________________________

Answer:

40

[tex]38 \div 95 \times 100\%[/tex]

Answer:

each missing angle is 120°

Step-by-step explanation:

What you have is a kite so the two missing angles are equal.

The sum of all four angles = 360°

2y = 360° - 88° - 32° = 240°

y = 120°

Either graph A or C, i'm leaning more towards A

A

Step-by-step explanation:

because slope is 3/4 and y-intecept is (0,-3)

Answer:

I think B by I'm not sure

Step-by-step explanation:

I'm not good with this subject

Answer:

14

Step-by-step explanation:

100% - 30%= 70% (the times they've won)

0.7x20=14

Answer:

35%

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.

Answer:

1/16 + 1/16

..............................

Answer:

3/4 x 1/6

Step-by-step explanation:

both would end up as 1/8

hope this helps :)

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

Answer:

y = 2vx+4

x= y/2v - 2/v

Domain (-infinite sign , infinite sign)

Range (-infinite sign , infinite sign)

vertex center (0,0)

vertices (2,0) , (-2,0)

Foci (6,0) , (-6,0)

Eccentricity 6/2

focal 6/3

Asymptotes : y=2x/2 , y=-x2/2

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Answer:

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Step-by-step explanation:

Answer:

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Step-by-step explanation:

If a variable is common to all terms of an expression, it can be factored.

14m + 21pm - 35mq

Here, m is common to all terms of the expression, so the factored expression is:

[tex]7m(\frac{14m}{7m} + \frac{21pm}{7m} - \frac{35mq}{7m}) = 7m(2 + 3p - 5q)[/tex]

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Answer:

geometry

The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest

The sum of the interior angles of a pentagon is 180(5-2) = 540º

so

4x + 5x + 3x + 8x + 7x = 540

solve for x and sub into 3x

Answer:

count how many flowers there are on number 1

Answer:

okay so 3. equals 20

4. 1st one 2nd one 3rd one  equals 30

5. first one 2nd one 3rd one equals 30

6. first one second one equals 20

7. first one second one equals 20

Step-by-step explanation:

Answer:

3.167 ft²

12.5 inches

Step-by-step explanation:

1.)

Measure of each wall : 16 6/2 '

Number of walls = 2

Total area to be painted :

16 6/2' * 2 = (16 + 3) * 2 = 19 * 2 = 38 inches

1 feet = 12 inches

x = 38 inches

12x = 38

x = 38 / 12 = 3.167 ft²

2.)

Area of rectangular canvas = 225

Height = 18

Base, b =?

Area of rectangle = height * base

225 = 18 * b

225 / 18 = 18b / 18

12.5 = b

Base = 12.5 inches

Answer:

The line has a slope of 2.

Step-by-step explanation:

We can see that this line intersects (-3, -4) and (-1, 0), so it's slope, Δy/Δx, will be:

(-4 - 0) / (-3 - (-1))

= -4 / -2

= 2

Answer: The midline should be a horizontal one, at y=4

Step-by-step explanation: See above answer.

 Midline of the periodic function given in the picture will be y = 4.

From the graph attached in the question,

Maximum value of the periodic function → y = 5

Minimum value of the function → y = 3

Midline of the function → [tex]y=\frac{3+5}{2}[/tex] ⇒ y = 4

        Therefore, midline of the periodic function given in the picture will be y = 4.

Learn more about the midline of the periodic function here,

https://brainly.com/question/11749227?referrer=searchResults