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3 years ago

Which is a graph of y = 3x - 1

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

$Graph \ in \ attachment .$

Step-by-step explanation:

The given equation is ,

$\implies y = 3x - 1$

This equation is in slope intercept form , wrt that we have ,

slope = 3
y - intercept = (-1) .

So the graph will paàs from one unit below the y axis , having a slope of 3 . The coordinates at x axis will be (0.33 ,1 )

Refer to the required graph in attachment !

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Convert rectangular equation to polar equation calculator

algol13

To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
$r= \sqrt{x^2+y^2}$
and θ is given by the arctan of the ratio of y to x.
$\theta=\tan^{-1} \frac{y}{x}$
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
$r= \sqrt{3^2+4^2} = \sqrt{9+16} = \sqrt{25} =5 \\ \theta=\tan^{-1}( \frac{4}{3}) =53.13^o$
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)

8 0

3 years ago

How do you express sin x + cos x in terms of sine only?

frez [133]

Answer:

$\sin x + \sqrt{1-\sin^2x}$

Step-by-step explanation:

Given: sin x + cos x

To change the given trigonometry expression in term of sine only.

Trigonometry identity:-

$\sin^2x+\cos^2x=1$
$\cos x=\sqrt{1-\sin^2x}$

Expression: $\sin x+\cos x$

We get rid of cos x from expression and write as sine form.

Expression: $\sin x + \sqrt{1-\sin^2x}$ $\because \cos x=\sqrt{1-\sin^2x}$

Hence, The final expression is only sine function.

4 0

4 years ago

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

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4 0

2 years ago

3x−4y=21 what does the x and y mean?

neonofarm [45]

Answer:

They are the two variables in the equation. They could will have different or the same values, but are seperate mathematical and logical entities.

6 0

3 years ago

Which expression is equivalent to the given expression?

kupik [55]

The answer is 4a - 12 so b.

7 0

3 years ago

Read 2 more answers