find the solution to the equation m^2-15m=0

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Answer:

x = 5

Step-by-step explanation:

Using similar triangles theorem

In similar triangles, ratio of their corresponding sides are equal.

Let the point where a line cuts BC = D

Length (AB/BD) = length(AC/CD)

15/3x = 9/(2x-1)

Cross multiply

15(2x-1) = 9(3x)

Expand the brackets

30x -15 = 27x

Collecting like terms

30x-27x = 15

3x = 15

Divide through by 3

x= 15/3

x= 5

Answer:

The following are the solutions found for x:

+√2 + 0i

-√2 + 0i

0 + 3i

0 - 3i

Step-by-step explanation:

The given equation is:

x⁴ + 7x² - 18 = 0

Rewrite x4 as (x²)²

(x²)² + 7x² − 18 = 0

Let u = x²

u² + 7u − 18 = 0

Factorize:

u² + 9u - 2u - 18 = 0

u(u+9) -2(u+9) = 0

(u-2)(u+9) = 0

(x²-2)(x²+9) = 0

Seperate both equations:

x² - 2 = 0                     x² + 9 = 0

x = ±√2                       x = ±√-9

x = ±√2                       x = ± 3√-1

x = ±√2 + 0i                x = 0 ± 3i

Answer:

C

Step-by-step explanation:

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

Answer:

Mean is the average of all the data.

= 87 + 95 + 92 + 88 + 91 + 96 / 6

= 91.5

Mode is the data value appearing most often in the data set.

So, there is NO mode

Median is the middle value of the data set, arranged in ascending order.

87, 88, 91, 92, 95, 96

= ( 91+92) / 2

= 91.5

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

Answer:

Step-by-step explanation:

Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula  

r=C  over 2π

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]

The building process is as follows:

Please find the attached file.

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Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

The first term is -4, second term is -1, third term is 4 and 10th term is 95.

a group of connected actions, moves, or things that happen in succession and have a specific order.

Given that,

The nth term of sequence = n² - 5          (1)

To find terms, Substitute values of n in equation (1),

Substitute n=1, the first term = 1-5 = -4

Substitute n=2, the second term = 4-5 = -1

Substitute n=3, the third term = 9-5 = 4

For 10th term, substitute n= 10,

10th term  = 100-5 = 95

First term =-4, second term = -1, third term = 4 and 10th term = 95.

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Answer:

$24123.20

Step-by-step explanation:

Remember your compounded interest rate formula: A = P(1 + r/n)^nt

Step 1: Write in known variables

26000 = P(1 + 0.025/12)^36

Step 2: Solve for P

26000 = P(1.0778)

P = 26000/1.0778

P = 24123.2

And we have our final answer!

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3+5= 8 so possible 3 rd side is 7

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4+7= 11 so possible 3rd side is 9

4+9= 13 so possible 3rd side is 12

5+7= 12 so possible 3rd side is 9

5+9= 14 so possible 3rd side is 12

7+9= 16 so possible 3rd side is 12

So the possible 9 combinations are:

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

Subtract 4 from each side

2x + 4-4 > 16-4

2x> 12

Divide by 2

2x/2 > 12/2

x > 6

Answer:

A. X>6

2 (7) + 4 > 16

14 + 4 > 16

18 > 16

Answer:

Option B. 7/11

Step-by-step explanation:

The following data were obtained from the question:

Sin x = 7/11

Cos(90 – x) =..?

The value of Cos(90 – x) can simply be obtained as follow:

Recall:

Sin x = Cos(90 – x)

Sin x = 7/11

7/11 = Cos(90 – x)

Therefore, the value of Cos(90 – x) is simply 7/11.

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Answer:

C. The lines are parallel because the slope of both lines is the same

Step-by-step explanation:

Parallel lines are formed when 2 lines have the same slope but different y-intercepts. Since the 2 given equations show this, the answer choice is C.

Answer:

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]

[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]

[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]

Answer:A And B

Step-by-step explanation:

The true stetement is:

The standard deviation of B is greater than the standard deviation of A.

1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.

Therefore, this statement is false.

2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.

3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.

4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.

5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.

Therefore, this statement is true.

6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.

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Answer:

6.65105386*10^5

A

Step-by-step explanation:

(5.68*10^-3)/(8.54 *10^-9

when divide negative over negative it gives positive

10^-3 / 10^-9=10^6

5.68/8.54=0.665

0.665*10^6=6.65*10^5

6.65105386*10^5

Answer:

A.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Or else it will give you an incorrect calculation

Answer: B and D

Step-by-step explanation: A p e x

The value of the quadratic equation  3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and

D. {1 + √(-47)}/6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3x² - x + 4 = 0.

We know x = {- b ± √(b² - 4ac)/2a}.

∴ x = {+ 1 ± √(1 - 48)}/6.

x = {1 ± √(-47)}/6.

x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.

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Answer:

A model with 12 squares labeled exact value and 3 squares labeled error.

Step-by-step explanation:

The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.

A model with 12 squares labeled exact value and 3 squares labeled error.

3/12 = 0.25

0.25*100 = 25%

This is the answer.

A model with 10 squares labeled exact value and 5 squares labeled error.

5/10 = 0.5

0.5*100 = 50%

A model with 9 squares labeled exact value and 3 squares labeled error.

3/9 = 0.3333

0.3333*100 = 33.33%

A model with 8 squares labeled exact value and 4 squares labeled error.

4/8 = 0.5

0.5*100 = 50%

Answer:

A

Step-by-step explanation:

edg 2020

Step-by-step explanation:

[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]

125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer

One of factors of given expression  is 3 so given expression  is divisible by 3

                                            q.e.d.  

Answer:

Interpreting as: x^2/3=x^1/3+4=6 A

Input:

x^2/3 = x^(1/3) + 4 = 6 A

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

Answer:

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Step-by-step explanation:

Given

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Required

[tex]Find\ a,b,c[/tex]

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Open Bracket

[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]

Collect like terms

[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]

By comparing coefficients; we have

[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]

Remove all traces of x from both sides

[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]

From the first equation;

[tex]a = 2[/tex]

From the last equation

[tex]4c = -4[/tex]

Divide both sides by 4

[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]

[tex]c = \frac{-4}{4}[/tex]

[tex]c = -1[/tex]

Substitute -1 for c in the third equation

[tex]c+4b=3[/tex]

[tex]-1 + 4b = 3[/tex]

Add 1 to both sides

[tex]1-1 + 4b = 3+1[/tex]

[tex]4b = 4[/tex]

Divide both sides by 4

[tex]\frac{4b}{4} = \frac{4}{4}[/tex]

[tex]b = \frac{4}{4}[/tex]

[tex]b = 1[/tex]

Substitute 2 for a in the second equation [To confirm the value of b]

[tex]b+4(2)=9[/tex]

[tex]b + 8 = 9[/tex]

Subtract 8 from both sides

[tex]b + 8 - 8 = 9 - 8[/tex]

[tex]b = 1[/tex]

Hence;

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

[tex]\sqrt{37} \approx6.0827[/tex]

then this point is located in between the integers 6 and 7 on the x-axis.

[tex]5\,\sqrt{11} \approx 16.58[/tex]

therefore, it is located between the integers 16 and 17 on the number line.

Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

Answer:

C

Step-by-step explanation:

[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]

Therefore, the correct answer is C. Hope this helps!