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Mekhanik [1.2K]
3 years ago
12

Evaluate the expression for the given value of the variable.n=500∛n/4+n/10=?

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

55

Step-by-step explanation:

To solve the expression, \sqrt[3]{\frac{n}{4}} + \frac{n}{10} substitute n = 500 and simplify according to order of operations.

\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55

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The price of a shirt was $38. It was reduced by 20% and then again by 10%.what is the final price of the shirt
tiny-mole [99]
First you would take 20% off the orignal price giving you 30.4$ after that you take 10% of 30.4 to get 27.36$.
5 0
3 years ago
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What is the equation of the following line written in general form? (The y-intercept is 7.)
Viktor [21]

Answer:

<h2>3x - y + 7 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

1=-2m+7          <em>subtract 7 from both sides</em>

-6=-2m       <em>divide both sides by (-2)</em>

3=m\to m=3

We have the equation:

y=3x+7

Convert it to the general form Ax+By+C=0:

y=3x+7              <em>subtract 3x and 7 from both sides</em>

-3x+y-7=0           <em>change the signs</em>

3x-y+7=0

4 0
3 years ago
Plz help/ Trigonometric models and sine functions: plz show how you got and the GRAPH! Thx to anyone that can help
Shtirlitz [24]

Answer:

y=-2\sin(2x)-2 - The graph is attached below.

Step-by-step explanation:

Given : A sine function has the following key features:

Period = π , Amplitude = 2,  Midline: y = -2 , y-intercept: (0,-2)

The function is a reflection of its parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is y=A sin(Bx)+C

Where A is the amplitude

B=\frac{2\pi}{\text{Period}}

C is the midline    

Substitute the given key features  

A=2 , C=-2  

B=\frac{2\pi}{\pi}=2

The sin function is  y=2\sin(2x)-2

The function is a reflection of its parent function over the x-axis.

i.e, The coordinate became (x,y)→(x,-y)

The sin function is y=-2\sin(2x)-2

Now, We plot the graph of the sin function.

The graph is attached below.  

First point is midline i.e, (0,-2)

Minimum point is (\frac{\pi}{4},-4)

7 0
3 years ago
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Function g is a transformation of the parent quadratic function f. Which statements are true about this function?
sergey [27]

Answer: Function g reflected function f across the x-axis.

For function g, as x approaches negative infinity, g(x) approaches negative infinity.

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4 0
3 years ago
Through: (1, 2), parallel to y=-3x - 3​
Westkost [7]

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line is y = m x + c, where

m is the slope of the line and c is the y-intercept

→ Parallel lines have same slopes

→ Parallel lines have different y-intercepts

∵ The equation of a line is y = -3 x - 3

∵ The slope-intercept form of the equation of a line is y = m x + c

∴ m = -3

Let us write the equation of a line that parallel to the line y = -3 x - 3

∵ Parallel lines have same slopes

∵ The slope of the line above = -3

∴ The slope of the line = -3

∴ The equation of the line is y = -3 x + c

To find c substitute x and y in the equation by the coordinates of a

point lies on the line

∵ The line passes through the point (1 , 2)

- substitute x by 1 and y by 2 in the equation

∴ 2 = -3(1) + c

∴ 2 = -3 + c

- Add 3 to both sides

∴ 5 = c

- substitute the value of c in the equation

∴ The equation of the line is y = -3 x + 5

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

#Learnwithbrainly

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