Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks

Answer:

Not rounded:

97% of 970.92 = 941.7924

Rounded to maximum 2 decimals:

97% of 970.92 ≈ 941.79

Step-by-step explanation:

Answer:

4(x-5)(3x² +1)

Step-by-step:

Add and subtract the second term to the expression and factor by grouping.

Hope this helps!

Answer:

1320

Step-by-step explanation:

Total number of songs = 12

Number of songs required to arrange in a play list = 3

It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is

[tex]Ways=^{12}P_{3}[/tex]

[tex]Ways=\dfrac{12!}{(12-3)!}[/tex]         [tex][\because ^nP_r=\dfrac{n!}{(n-r)!}][/tex]

[tex]Ways=\dfrac{12\times 11\times 10\times 9!}{9!}[/tex]

[tex]Ways=1320[/tex]

Therefore, the required number of ways is 1320.

Answer:

an = an-1 * -4

Step-by-step explanation:

First we need to find the common ratio

r = second term / first term

  = -2/ (1/2) = -4

The recursive formula is

an=an−1 * r

an = an-1 * -4

Answer:

132 degree

Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.

Answer: the slope would be 2

Step-by-step explanation:

rise =    2

------    ___ .      or  2

run = .   1

I hope this is what they meant and will help!

Answer:

Use a graphing calc or desmos.

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

60 1/8 or 481/8

▹ Step-by-Step Explanation

[tex]6 \frac{1}{2} * 9 \frac{1}{4} \\\\= \frac{13}{2} * \frac{37}{4} \\\\= \frac{481}{8} \\\\= 60\frac{1}{8} or \frac{481}{8}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

60 1/8

Step-by-step explanation:

Product means times, so just do 6 1/2*9 1/4=13/2*37/4=481/8= 60 1/8=60.125

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Answer:

[tex]x = 13 \\ [/tex]

Measure of the angles

[tex]39 \: \: degrees \\ 51 \: \: degrees[/tex]

Step-by-step explanation:

sum of the interior angles in a triangle= 180°

[tex]3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ \frac{7x}{7} = \frac{91}{7} \\ x = 13[/tex]

x = 13,

now lets work out for the angles

[tex]3x \\ 3 \times 13 \\ = 39[/tex]

[tex]4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\ = 51[/tex]

Answer:

2 points the first 3 matches then 3 points the last 2 matches

Step-by-step explanation:

12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point

They got 2 points the first 3 matches then 3 points the last 2 matches

2 + 2 + 2 (first 3 matches) = 6

3 + 3 (last 2 matches) = 6

6 + 6 = 12

Answer:

15 minutes

There are 20 quarter hours in 5 hours. This is solved by first breaking down an hour into quarters. A quarter is 1/4 of an hour, or 15 minutes.

Answer:

75 minutes

Step-by-step explanation:

5 hours = 60 x 5 = 300 minutes

300 ÷ 4 = 75 minutes

Answer:

D

Step-by-step explanation:

Put x as 1, and subtract.

(3(1)² + 3) - (1+6)

3 + 3 - 7

6 - 7 = -1

Answer:

angle QPN and angle TSP is the corresponding angle.

Answer:

Step-by-step explanation:

We have 2 clusters of angles here: one with S in the middle and one with P in the middle. Corresponding angles means that within each cluster, 2 angles are sitting in the same position, one in each cluster. Angle QPN is corresponding to angle TSP because both of the angles are sitting below line UN, and each is sitting to the right of its transversal.

Answer:

She will need 6 1/4 yards. It will coast 46.87

Step-by-step explanation:

2 1/2+1 3/4+3=6 1/4

7.50/ 1/4=1.87

7.50*6=45

45.00+1.87=46.87

Answer:

[tex]\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x^2-9}-\frac{3x}{x^2-5x+6}[/tex]

Factor x²-9 and x²-5x+6.

[tex]\frac{2}{\left(x+3\right)\left(x-3\right)}-\frac{3x}{\left(x-2\right)\left(x-3\right)}[/tex]

Least common multiple of (x+3), (x-3), (x-2), and (x-3) is (x+3), (x-3), and (x-2).

Adjust the fractions based on LCM.

[tex]\frac{2\left(x-2\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}-\frac{3x\left(x+3\right)}{\left(x-2\right)\left(x-3\right)\left(x+3\right)}[/tex]

Subtract the fractions since denominators are equal.

[tex]\frac{2\left(x-2\right)-3x\left(x+3\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}[/tex]

Expand.

[tex]\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}[/tex]

The fraction can be in factored form.

[tex]\frac{-\left(x+1\right)\left(3x+4\right)}{\left(x-2\right)\left(x+3\right)\left(x-3\right)}[/tex]

Answer:

[tex]-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

Step-by-step explanation:

STEP 1: Simplify each term.

[tex]\frac{2}{(x+3)(x-3)}-\frac{3x}{(x-3)(x-2)}[/tex]

[tex]\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}[/tex]

[tex]\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}*\frac{x+3}{x+3}[/tex]

STEP 2: Write each expression with a common denominator of (x+3)(x−3)(x−2), by multiplying each by an appropriate factor of 1.

[tex]\frac{2(x-2)-3x(x+3)}{(x+3)(x-2)(x-3)}[/tex]

STEP 3: Simplify the numerator.

[tex]\frac{(-x-1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

STEP 4: Simplify with factoring out.

[tex]-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

Answer:

Lower bound = 4.5cm

Step-by-step explanation:

4.5cm is the lowest number that can be approximated to 5cm

The lower bound is the smallest value that will round to the given value.

The lower bound of 5cm is 4.5 cm.

There is a lower bound and upper bound of a number.

The lower bound is the smallest value that will round to the given value.

The upper bound is the smallest value that would round up to the next value.

Example:

The lower and upper bound of the number 6 is 5.5 and 6.6.

We have,

Length = 5 cm

The lower bound is the smallest value that will round to the given value.

So,

we can have 4.5 as the lower bound since 4.5 is the smallest value that will round to 5.

The upper bound is the smallest value that would round up to the next value.

We can have 5.5 as the upper bound since 5.5 is the smallest value that will round to 6.

Thus,

The lower bound of 5cm is 4.5 cm.

Learn more about bounds here:

https://brainly.com/question/28897386

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I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

Answer:

The First One

Vote for Brainless

Answer:

number 1 is 7a-42

Step-by-step explanation:

Answer:

1/4h

Step-by-step explanation:

If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.

Hence, the time for the bus trip

= (1/2 + x)h

since the bus trip is 3/4h, it means that

1/2 + x = 3/4

collecting like terms,

x = 3/4 - 1/2

= 3/4 - 2/4

= 1/4

Hence the car trip is 1/4h.

The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial function:

f(x) = (x – 1)(x – 1)(x + 7)

We can write it as:

f(x) = (x – 1)²(x + 7)

Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.

Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

Learn more about Polynomial here:

brainly.com/question/17822016

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Answer:

25

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

The angle MKL is equal to 155 which corresponds to the value of x=155.

The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.

In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.

From the figure we can see that,

MKL=JKL+JKM

=90+65

=155 degree

Hence the value of x is equal to 155 degree.

Learn more about angles at https://brainly.com/question/25716982

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Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

Answer:

B

Step-by-step explanation:

We use the distance formula

Origin(0,0)

P(2,-5)

and get that it's root of 29

Answer:

it's B

Step-by-step explanation:

i just took the test and made sure that was the correct answer :-PPPPPPPPPPPPPPPPP

Answer:

Rs 1504

Step-by-step explanation:

Mr. Rai buys for Rs 1880.

He sells it to Mr. Sherpa at 20% discount.

1880 × 20%

= 376

1880 - 376

= 1504

Mr. Sherpa buys it for Rs 1504.

Answer:

Mr. Rai will be receiving $1504 if he sells the radio for 20%.

Step-by-step explanation:

To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.

For Example:

20% = .20

1880*.20= 376

1880-376= 1504

There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.

Good luck!

Answer:

e^4 d^2

-------------------------

b^3

Step-by-step explanation:

b^-3 c^0 d^2

-------------------------

e^-4

Negative exponents flip positions

e^4 c^0 d^2

-------------------------

b^3

c to the zero power is 1

e^4 d^2

-------------------------

b^3

Answer:

d^2 e^4

--------------

    b^3

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.  x = e^(x/y)   Taking logs:

log x =  x/y

x = y log x

Differentiating:

1 = dy/dx log x +  y * 1/x

dy/dx log x = (1 - y/x)

dy/dx =  (1 - y/x) / log x

dy/dx =  ((x - y)/ x) / log x

dy/dx = (x - y) / x log x)

2.  y^x = e ^(y - x)

Taking logs:

x log y = y - x   --------------(A)

y = x + x logy    --------------(B)

dy/dx = 1 + x * 1/y * dy/dx + 1*logy

dy/dx - dy/dx * x/y = 1 + log y

dy/dx ( (x - y) y))  = 1 + log y

dy/dx = y(1 + log y) / (y - x)

Using (A) and (B) :-

dy/dx =  x(1 + logy)(1 + logy) / x logy          The x's cancel, so:

dy/dx = (1 + logy)^2 / log y

Sorry I have to go right now..

The rest of the answers are  on the re-post of these questions

Answer:

a₁ = 1; r = 3

Step-by-step explanation:

a₁ represents the first term. It is 1 in this case.

r represents the common ratio between terms. In this case it's 3 / 1 = 3.

Answer:

a1 = 1

r = 3

Step-by-step explanation:

a1 = first term = 1

r = common ratio = 2nd term/1st term

  = 3/1

r = 3

Answer:

-3

Step-by-step explanation:

Answer:

[tex]-384[/tex]

Step-by-step explanation:

n = 6 (6th term)

[tex]-3* 2^{6+1}[/tex]

[tex]-3* 2^{7}[/tex]

[tex]=-384[/tex]

Answer: It Depends

Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.

However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.

However, if the input appears more than once, you must check to see whether the output is the same or different.

Answer:

A) check attached picture

B) 272

C) 0.4478

Step-by-step explanation:

From the information given ;

A) The Venn diagram of the information can be found in the attached picture.

B) Number of students involved in both team sports and music.

n(student in sports team) = 385

n(students involved in music) = 450

Number of students involved in both music and team sport = y

Number of students not involved in either team sport or music = 87

Total number of students = 650

Therefore,

n(music alone) = 450 - y

n(team sport alone) = 385 - y

Adding the following:

n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students

450 - y + 385 - y + y + 87 = 650

922 - y = 650

922 - 650 = y

y = 272

Therefore, number of students involved in both music and team sport = 272

C) probability of being involved in team sport or in music.

P(being involved in music) = (450 - 272) / 650 = 0.2738

P(being involved in team sport) = (385 - 272) / 650 = 0.1738

P(involved in both) = 272 / 650 = 0.4184

P(involved in neither) = 87 / 650 = 0.1338

P(being involved in team sport) or p(being involved in music)

P(being involved in team sport) + p(being involved in music)

0.1738 + 0.2738 = 0.4478