The x value in x squared -5x + 4= 0

Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written

Elena-2011 [213]

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

8 0

3 years ago

A teachers desk is 5.5 meters long a students desk is 220 centimeters long what is the difference in the length in centimeters b

Mama L [17]

so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.

$1cm = 0.01meter$

$to \: turn \: meters \: into \: \\ cm \: we \: have \: to \: multiply \: by \: 100$

now we multiply 5.5 times 100 which is equal to 550.

next we subtract 550 - 220= 330.

finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.

7 0

3 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

Artemon [7]

Answer:

72.51

Step-by-step explanation:

Given that :

Lab score % = 23%

Each Major test % = 22.5%

Final exam % = 32%

Score :

Lab score = 96

First Major test = 64

Second major test = 62

Final exam = 69

Hence,

Weighted average = Σ(weight % * score)

Weighted average = Σweight_1*score_1 +.. Weight_n * score_n)

(0.23 * 96) + (0.225 * 64) + (0.225 * 62) + (0.32 * 69) = 72.51

3 0

2 years ago

A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times

max2010maxim [7]

The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

$C = 2 \pi r$

Where, "r" is the radius and $\pi$ is a constant equal to 3.14

$C = 2 \times 3.14 \times 14\\\\C = 87.92$

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

$distance = 5 \times 87.92\\\\distance = 439.6$

Thus the horse traveled 439.6 feet after walking around the track 5 times

5 0

3 years ago

Write an equation for the table 2 5 5.6 14 7 17.5 8 20

vova2212 [387]

The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

x → 2 : 5.6 : 7 : 8
y → 5 : 14 : 17.5 : 20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ $\frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5$

∵ $\frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5$

∵ $\frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5$

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

5 0

3 years ago