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3 years ago

Can somebody help me out? This is due so soon

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

Answer:

y = $\frac{1}{2}$ x + $\frac{3}{20}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 10x - 20y = - 3 into this form

Subtract 10x from both sides

- 20y = - 10x - 3 ( divide all terms by - 20 )

y = $\frac{-10}{-20}$ x - $\frac{3}{-20}$ , that is

y = $\frac{1}{2}$ x + $\frac{3}{20}$ ← in slope- intercept form

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What is the period of the function f(x)=sin(x/3) ?

vitfil [10]

<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0

3 years ago

An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache

weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = $\frac{50}{4000} = \frac{1}{80}$

Hence,

1/80 of the agency's employees have PhDs.

5 0

2 years ago

A linear function has a slope of 7/3 and crosses the y-axis at 10. What is the equation of the line?

Bas_tet [7]

Y=Mx+b (m is slope, b is y-intercept)

7 0

3 years ago

If the temperature is -17° F at 8 am, and 23°F at noon, how much did the temperature rise?

dedylja [7]

17 + 23 = 40

The temperature rose 40 degrees.

3 0

3 years ago

Read 2 more answers

6870000000000000 scientific notation

hjlf

Answer:

6.87 x 10^15

Step-by-step explanation:

6.87 * 10^15 = 6870000000000000

Hope this helps :)

P.S. Message me if this is wrong

P.P.S Hope you have a great day!

8 0

2 years ago