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Answer: (-6, - 6)

Step-by-step explanation:

Here we have two transformations, and the first step will be to explain those transformations:

Reflection over the y-axis.

For a function f(x), the reflection over the y-axis is written as:

g(x) = f(-x)

Then if we initially had a point (x, y), the transformed point will be (-x, y).

Vertical translation.

We can define a vertical translation of N units as:

g(x) = f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

Then if we start with a point (x, y), the transformed point will be (x, y + N)

In the case of this problem we have g(x) = f(-x) - 3

This means that N = -3

Then if we initially had the vertex at the point (6, - 3)

The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:

(-6, -3 - 3) = (-6, - 6)

The vertex of the resulting  parabola will be (-6, -6)

Given the function y= f(x), plotted on a graph and the vertex of the resulting

parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:

To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]

[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]

Hence the vertex of the resulting  parabola will be (-6, -6)

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Answer:

about a half teaspoon

Step-by-step explanation:

Answer:

where is the diagram?

Step-by-step explanation:

Answer:

Option A. x=30,y=42

Step-by-step explanation:

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]

According to the Exterior Angle Theorem, the true statement should be considered as the option b.

The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.

So based on this, we can say that the option b is correct.

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Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Answer:

30

Step-by-step explanation:

The mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

It is given that:

It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

As we know, from the definition of density:the mass-to-volume ratio

Density = mass/volume

mass = densityxvolume

mass =20x30

mass = 600 grams

Thus, the mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

Learn more about the density here:

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Answer:

is the whole question asked?

Answer:

The value is  [tex]P(X > 500 ) = 0.011942[/tex]

Step-by-step explanation:

From the question we are told that

       The mean is  [tex]\mu = 430[/tex]

       The standard deviation is  [tex]\sigma = 120[/tex]

       The sample size is  n  =  15

Generally  the probability that the sample mean is above 500

Gnerally the standard error of mean is mathematically represented as

             [tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]

=>          [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]

=>           [tex]s = 30.984[/tex]

Generally  the probability that the sample mean is above 500

     [tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

       [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]

=>     [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to  2.259  is

          [tex]P( Z > 2.259 ) = 0.011942[/tex]

=>       [tex]P(X > 500 ) = 0.011942[/tex]

Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1)

y=-x+2

slope of y=-x+2 is -1, perpendicular slope is 1

y-3.5=1(x-(-1.5))

y-3.5=x+1.5

y=x+5

Answer:

[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]

Step-by-step explanation:

Given

[tex]Black = 25[/tex]

[tex]White = 35[/tex]

[tex]Red = 40[/tex]

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]

Convert to mathematical expressions

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]

Solve for each probaility;

[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]

[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]

So, we have:

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]

[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]

[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]

[tex]Probability = \frac{1+1}{10}[/tex]

[tex]Probability = \frac{2}{10}[/tex]

[tex]Probability = \frac{1}{5}[/tex]

or

[tex]Probability = 0.2[/tex]

Answer:

wdym

Step-by-step explanation:

Answer:

I don't understand the question.

Step-by-step explanation:

Answer:

Frequency and period are distinctly different, yet related, quantities. Frequency refers to how often something happens. Period refers to the time it takes something to happen. Frequency is a rate quantity.

Step-by-step explanation: