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3 years ago

When you multiply a function by -1 what is the effect on its graph

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Please see attached image.

Step-by-step explanation:

When you multiply a function by -1 you are basically reflecting the values of the function over the x-axis.

The values that were negative become positive and the positive values become negative.

Please, take a look at the attached graph below, where there are examples with two functions.

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What is the slope of the line given by the equation y=4x?

umka2103 [35]

Answer:

the slope is 1 over 4, or up 1 right 4.

Step-by-step explanation:

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3 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

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3 years ago

Math - Ratios

Llana [10]

The answer is 9 : 5
36:20
18:10
9:5

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3 years ago

Mr.Reed harvested 941 ears of corn.He will group them into dozens and place them in sacks to sell at a market.what is the greate

Kruka [31]

1 dozen = 12

Divide 941 by 12:

941 / 12 = 78.42

So the greatest number of dozens he can make is 78.

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help me the area of a rectangular roof of a doghouse is 756 square inches. the length of the roof is 108 inches. how many inches

Andrei [34K]

$A=L*w \\ A=756 \ square \ inches \\L=108 \ inches \\ \\ 108*w=756 =>w=756:108 \\ \\ w=7 \ inches$

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3 years ago

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