guys I need help with both of the questions

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)

Learn more on reflection here: https://brainly.com/question/14460986

Answer:

45 mph

Step-by-step explanation:

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

i did 4 1/2 miles or 4.5 ÷1/10 or .10=45mph

Answer:

Step-by-step explanation:

The answer is C

(づ｡◕‿‿◕｡)づ

Hope it helps

Answer:

$22,100

Step-by-step explanation:

20 x 25 = 500

10 x 18 = 180

500 + 180 = 680

680 x 32.50 = 22,100

plz give me brainliest and hope this helps

Answer:

about a half teaspoon

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

2x - 1

Step-by-step explanation:

Equivalent Algebraic Expressions

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]

Now we can take that value and plug it into function f:

[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]

Alternatively, you can work out a new single function that in itself describes f(g())

[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]

and try plugging -2 into the new function

[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]

The value of f(g(-2)) for the given expression will be 12.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

And,

g(x) = x² + 2

Now,

For, x = -2,

i.e.

g(x) = x² + 2

Now,

Substituting the value of x = -2,

g(-2) = (-2)² + 2

On solving,

We get,

g(-2) =  6

Now,

For, f(g(-2)),

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

i.e.

Substituting the value of g(-2) =  6,

i.e.

f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))

i.e.

f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex]  + 5 * 6

On solving,

We get,

f(g(-2)) = -18 + 30

i.e.

f(g(-2)) = 12

So, the value of f(g(-2)) for the given expression is 12.

Hence, we can say that the value of f(g(-2)) for the given expression will be 12.

To know more about expression click here

https://brainly.com/question/953809

#SPJ2

Answer:

wdym

Step-by-step explanation:

Answer:

there are 1,679 students that don't play video games

Step-by-step explanation:

because 1938   -   259 =1,679

Answer:it is 1394

Step-by-step explanation:

Answer:

is the whole question asked?

Answer:

$110.5

Step-by-step explanation:

48 + 25(2.5)

48 + 62.5

=110.2

Answer:

The answer is 110.5

Step-by-step explanation:

48+25(2.5)=110.5

Answer:

[tex]\frac{47}{330}[/tex]

Step-by-step explanation:

We require to create 2 equations with the recurring part (42) placed after the decimal point.

let x = 0.14242 ( multiply both sides by 10 and 1000 )

10x = 1.4242... → (1)

1000x = 142.4242... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

990x = 141 ( divide both sides by 990 )

x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]

The fractional form of the recurring decimal 0.142 is 47/330.

A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.

Given, A recurring decimal 0.142 where 4 and 2 are repeating.

In the denominator, we'll write as many 9's as there are recurring digits after the decimal and after as many zeros as there are digits after the decimal which are not repeating, and in the numerator, we'll subtract the nonrecurring digits from the total digits after the decimal.

Therefore, 0.142 where 4 and 2 are repeating can be written in fraction form as,

(142 - 1)/990.

= 141/990.

= 47/330.

learn more about recurring decimal numbers here :

https://brainly.com/question/820308

#SPJ2

Answer: 626

Step-by-step explanation:

5x5x5x5 = 625

Answer:

D. A slope of 3/2

Step-by-step explanation:

FInd slope with the formula y2-y1/x2-x1

Answer: 81

Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract

step 1: 142-133 = 9  

Step 2: 90 - 9 = 81

There that is your answer 81

Answer:

Are there any other answer choices...because none of these are proportional relationships?

Step-by-step explanation:

Hold on, give me a sec I think I had this question. Let me go and check what the answer was.

Answer:

1. Not possible

2. Possible

3. Possible

4. Possible

Step-by-step explanation:

Answer:   y=-2x+9

Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9

Answer:

81.25 ; 3091.48 ; 55.60

Step-by-step explanation:

Given the data :

45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, 220

The mean :

ΣX/n ; n = sample size

ΣX = 45+60+25+55+75+90+100+120+105+80+0+220 = 975

n = 12

Mean = 975 / 12 = 81.25

The variance :

Σ(X - m)^2 / n - 1

Using calculator to save computation time :

The variance : (34006.24997 / 11)

Variance = 3091.48

The standard deviation :

Sqrt(Variance) = sqrt(3091.48) = 55.60

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:

brainly.com/question/952755

#SPJ2

Answer:

20/50

Step-by-step explanation:

i think

Answer:

30?...creo que esa es la respuesta

Step-by-step explanation:

55-25=30

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.

learn more about an angle here: https://brainly.com/question/6150811

Answer:

I think is C.............

Answer: n = 9

Step-by-step explanation:

first, we calculate the first equation.

7^9 = 7^n

then, we set the exponents as equal.

9 = n

then, we simply swap the sides.

n = 9