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4 years ago

PLEASE HELP, ILL GIVE YOU 20 POINTS!!!

Mathematics

2 answers:

Troyanec [42]4 years ago

5 0

Answer:

-2,4

Step-by-step explanation:

i think

vichka [17]4 years ago

5 0

(1,2)

(2,3)

(4,1)

Step-by-step explanation:

you flip the picture to the other side of the y axis as if you were to fold a piece of paper in half

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Let y = 2(x – 5)2 – 6.

Kazeer [188]

The given equation represents a function and inverse of the function exist if x ≥ 6.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

$\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5$

Plug x = 1 in the y:

y = 26

Plug $\rm y ^-^1$ = 1 in inverse of a function:

x = 26

Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0

2 years ago

(h(1) = 96<br> (h(n) = h(n − 1) - 1<br> Find an explicit formula for h(n).

Lubov Fominskaja [6]

Answer:

$a_n=97-n$

Step-by-step explanation:

Given:

$h(1)=96\\ \\h(n)=h(n-1)-1$

Find first terms:

$h(1)=96\\ \\h(2)=h(2-1)-1=h(1)-1=96-1=95\\ \\h(3)=h(3-1)-1=h(2)-1=95-1=94\\ \\h(4)=h(4-1)-1=h(3)-1=94-1=93\\ \\....$

In this arithmatic sequence, each next term is 1 less than the previous term.

The general explicit formula is

$a_n=a_1+(n-1)d$

In your case,

$a_1=96\ \text{ First term}\\ \\d=-1\ \text{ Common difference}$

Then

$a_n=96+(n-1)\cdot (-1)\\ \\a_n=96-(n-1)\\ \\a_n=96-n+1\\ \\a_n=97-n$

5 0

3 years ago

The slope of the line below is -2. Write the point-slope equation of the line

kipiarov [429]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y-y_{0}=m(x-x_{0})$

Where:

m: It is the slope of the line

$(x_ {0}, y_ {0})$ : It is a point through which the line passes.

We have to:

$m = -2$

Thus, the equation is of the form:

$y-y_{0}=-2(x-x_{0})$

We substitute the point $(x_{0}, y_{0}) :( 4, -6)$

$y-(-6)=-2(x-4)\\y+6=-2(x-4)$

Finally, the equation is:

$y+6=-2(x-4)$

Answer:

$y = -2x + 2$

$y+6=-2(x-4)$

6 0

3 years ago

At a hockey game, a vender sold a combined total of 204 sodas and hot dogs. The number of sodas sold was three times the number

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Given that at a hockey game, a vender sold a combined total of 204 sodas and hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

Let no of hot dogs be sold be x then no of sodas sold will be 3x

Total number of sodas and hot dogs $= x+3x=204\\x=51\\3x=153$

the number of sodas =153

and the number of hot dogs sold=51

6 0

4 years ago

Please help find the area?!

frez [133]

Hey there! How is your day going?

Sorry if I'm a bit rusty here, math isn't my best subject, necessarily.

If you will notice ABCD is similar in size to EFGH, but the measurements are multiplied by 5. So, all we need to do is multiply the area of ABCD by 5.

35 x 5 = 175

So, your answer is 175 ft²

I hope this helped you, as it has helped me learn a different way to find the area of a rectangle. And I hope you have a very nice day!

Your friend in answering and in need,

~Steve

3 0

4 years ago