simple math! i'll
mark you if you get it right

Answer:

Please check the explanation.

Step-by-step explanation:

Given the quadratic equation

5x²−2x−9 = 0

To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.

Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then

ax²+bx+c = a(x-x₁)(x-x₂)

Now,

solving the quadratic function 5x²−2x−9 = 0

[tex]-5x^2+2x+9=0[/tex]

subtract 9 from both sides

[tex]-5x^2+2x+9-9=0-9[/tex]

Simplify

[tex]-5x^2+2x=-9[/tex]

Divide both sides by -5

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

[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]

Add (-1/5)² to both sides

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]

[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{\sqrt{46}+1}{5}[/tex]

similarly solving

[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]

Thus, the roots are:

[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]

Conclusion:

Since the roots are irrational, we do not factor further.

Therefore, we leave 5x²−2x−9 as it is.

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

Answer:

12 11/20

Step-by-step explanation:

the answer to the question is 12 11/20

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

Answer:

24a no>?

Step-by-step explanation:

Step-by-step explanation:

[tex]y = {2}^{x} [/tex]

This is a basic exponential function.

[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]

The (-x) exponent makes a reflection in the y-axis.

Answer:

1.718333

0.114957

12

1 3 5 7

Step-by-step explanation:

Given the following height values :

Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85

1.) Assign all height values to a vector height :

R code:

height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)

2.) To compute the mean and standard deviation of "height"

R code for mean height:

mean(height)

R code for height standard deviation :

sd(height)

3.) The length of "height" ; This gives the number of data values in the vector variable "height"

R_code for length:

length(height)

4.) Number of heights less than 1.65

R_code :

which(height < 1.65)

Gives the index values where height values is less than 1.65

5.) Show if each height is larger than 1.6 and less Than 1.75

R_code :

1.6 < height < 1.75

9514 1404 393

Answer:

  5

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx . . . . . . where k is the constant of proportionality

Solving this equation for k, we get ...

  k = y/x

Filling in the given values (x, y) = (4, 20) gives ...

  k = 20/4

  k = 5

The constant of proportionality is 5.

Answer:

The answer is 1/5 =  0.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Answer:

2.5ft

Step-by-step explanation:

d=2r

r=1/2d

r=1/2*5ft=2.5 ft

Answer:

this isnt spanish

Step-by-step explanation:

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.

Answer:

You have to specify the question more. There's not enough information. Like how many numbers does the spinner have? I'll help if you could specify it more

Step-by-step explanation:

Answer:

Multiply 1/2 by 1/5 and you get 1/10

Step-by-step explanation:

Answer:

Slope Intercept Form

Step-by-step explanation:

its the basics

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Answer:

The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x

Step-by-step explanation:

Answer:

lol i had the same question

Step-by-step explanation:

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Adding a negative number is the same thing as subtracting a positive number, so 86 + (-32) is the same thing as 86 - 32, which is 54.

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

Answer:

elevator travel 4.5 feet per second

Answer: A

Step-by-step explanation:

the answer is A

Answer: uhhhh what

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.

Therefore, x/4 = 5

x = 4 × 5

x = 20

The number is 20

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.