Which equation represents h(x)?
The table shows three functions and their output values
for different values of x.
Oh(x) =
g(x)
х
1
2
3
f(x)
3
9
27
g(x)
18
21
24
h(x)
15
12
-3
Oh(x) =
g(x)
f(x)
O h(x) = f(x)-g(x)
O h(x) = g(x) – FEB

The data described in the tables is best modeled by a linear function or an exponential function

For Tigers, best model will be exponential function

For Narwhals , best model will be linear function

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Two data-sets for the number of tigers and the number of Narwhals

First take data of tigers,

Lets check whether it is satisfies the condition of linear function or not

y = mx + c

x = 0,  y = 1204

1204 = m0 + c

c = 1204

y  = mx + 12-04

when, x = 3 , y = 1050

1050  = 3m + 1205

m   = -155/3

If it holds a linear relationship

then for x =  6,  y should be 902

But is not a equal to 902

So, For this dataset exponential function will be best

Similarly, we can check for the second dataset

And it will satisfy the all the conditions of linear function

So, for the Narwhals linear function is best model

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Answer:

[tex]Solution,\\6x+9=-12\\6x=-12-9\\6x=-21\\x=-\frac{21}{6}[/tex]

Step-by-step explanation:

Decimal=-3.5

Answer:

[tex]\huge\mathrm{\displaystyle-\frac{7}{2} }[/tex]

Explanation:

Hi there, I hope you are having a nice day! :)

First of all, let's move all the numbers to the right:

[tex]\longmapsto\sf{6x+9=-12[/tex]

[tex]\longmapsto\sf{6x=-12-9[/tex]

[tex]\longmapsto\sf{6x=-21[/tex]

Divide both sides by 6:

[tex]\longmapsto\sf{x=\displaystyle-\frac{21}{6}[/tex]

Simplify:

[tex]\longmapsto\sf{x=\displaystyle-\frac{7}{2}[/tex]  (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

Answer:

100,000

Step-by-step explanation:

70,000 people = 70% of the population.

Divide 70,000 by 70 to get the number of population per 1%:

70000 ÷ 70 = 1000

Therefore, 1000 people represent 1% of the population.

To calculate 100% of the population, multiply the number of people representing 1% by 100:

1000 x 100 = 100,000

Therefore, the population of the town = 100,000

Answer:

I think its the first one

Step-by-step explanation:

Answer:

Equation:  y = -2x + 2

Step-by-step explanation:

given coordinates: (-1, 4) ,  (2, -2)

Find the slope: (y2-y1)/(x2-x1)

                       : (-2-4)/(2--1)

                       : -6/3

                       : -2 ...........this is the slope,(m) of the line

Find equation using: y - y1 = m ( x - x1 )

                                 : y - 4 = -2 ( x - -1)

                                 : y - 4 = -2x -2

                                 : y = -2x + 2

Answer:

He has 60 paper clips before giving some away.

Step-by-step explanation:

Before : 5x : 3x

After:  5x - 12 = 3x + 12

5x -  12 = 3x + 12

First, we need to take away the smallest value of x from the largest.

-3x

2x - 12 = 12

Then, we need to add +12 to get rid of -12 on the lefthand side.

2x = 24

Divide by 2 to get x on its own.

x = 12

Bert had 5x so we need to multiply x (what we found as 12) by 5. 12 x 5 = 60. Bert had 60 paper clips before he gave some away.

We can prove this answer as correct, too.

5 x 12 = 60

3 x 12 = 36

60 - 12 = 36 + 12

48 = 48

Hope this helps, have a good day. :D

Answer:

30.4m

Step-by-step explanation:

Diameter(D) = 2r (radius)

D = 9.7m

r = 9.7m / 2

= 4.85m

C = 2πr

= 2π × 4.85m

= 30.47344873982099m

rounding - Leave it as is if the digit in the tenth is 4 or lower

- round it up if it's 5 or higher.

~~ 30.4m

Answer:

Step-by-step explanation:

Given equation of the line:

Use two points from the graph of the second line to find its equation:

Use double intercept form to find the equation:

Now we have the system, solve it by elimination.

Multiply the first equation by 2 and the second equation by 3 and add up:

All terms are cancelled, it means the equations are same, the lines overlap and there is infinite number of solutions.

Answer:

1

Step-by-step explanation:

hope this helps you out

Answer:32

Step-by-step explanation: divide 162 and 6 you get 27 add 5 then you get 32

Answer: 10  3/4. OR 43/4

Step-by-step explanation:

we see that there are two lines, one with the total amount (at bottom), and one with two small parts of the line measurement included (top)

we can simply add the two small measurements together and then subtract the total measurement line (15/1/2) to the added amount.

3 1/2 = 3 2/4

(3 1/2 is simplified version, 1 times 2 is 2 and 2 times 2 is 4, so we get 2/4)

3 2/4+ 1 1/4 = 4 3/4

4 3/4 = 19/4
4 times the 4 (from 3/4) is 16, plus the 3 (from 3/4)

and

15 1/2 = 15 2/4 = 62/4

15 times 4 (from 2/4) is 60, plus the 2 (from 2/4)

Now we do 62/4 minus 19/4

DON’T minus the denominator 4!

(Basically is) 62-19=43

Answer: 43/4

you can also divide 43 by 4, to get 10 3/4

Answer:

8x-4

i remember being asked this question but i dont remember how to do it and i am sorry for that... but i know that it is 8x-4

Answer:

120

1/1/8=8

8X15=120

hope this helps

Answer:

$54,000

Step-by-step explanation:

1,800,000 - 3% =

1,746,000

1,800,000 - 1,746,000 =

54,000

Jennifer paid $54,000 commission fee

Jennifer paid $54000 commission at closing.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount.

That means,

she paid = 1800000 x 3/100

Jennifer paid at closing = 54000

Therefore, Jennifer paid $54000.

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Answer:

$40 + $10x = $250

Step-by-step explanation:

$40 represents the total cost of one teapot, $10x represents the cost of each individual teacup we buy, and we set that equation equal to $250 since that is the total cost.

$40 + $10x = $250

Answer:

y=5x-3

Step-by-step explanation:

y-intercept is always at the end

so it is y=mx-3

gradient replaces m

y=5x-3

Answer:

?- _ - _- -_ _- -

Answer:

What do you need help with dude

Step-by-step explanation:

Answer:

It will take her 13 and a half minutes to type 576 words.

Step-by-step explanation:

To solve this problem, we must write a proportion.

Okay, so we know that 128 words equal 3 minutes. We also know that we need to figure out how long it would take to type 576 words.

[tex]\frac{Minutes}{Words} = \frac{3}{128} = \frac{?}{576}[/tex]

But how do we figure that out? Well, all we need to do is figure out how we got from 128 to 576, and then perform the same operation on the number three!

In order to do that, we divide 576 by 128, which gives us 4.5. So to get from 128 to 576, you multiply by 4.5. Now remember, in a proportion, you need to do the same thing to both the top and the bottom. Otherwise, you're changing the value.

So, we end up with this:

[tex]\frac{Minutes}{Words} = \frac{3}{128} * \frac{4.5}{4.5} = \frac{13.5}{576}[/tex]

Meaning that if she types 128 words in 3 minutes, then she can type 576 words in 13.5 minutes.

Hope this helps, and please don't forget to mark Brainliest!

Answer:

Step-by-step explanation:

P = 5x

P = 5(3) = 15

Answer/Step-by-step explanation:

[1] is 20 9/11 closer to 20 or 21? Answer: 21

[2] is 18 3/10 closer to 18 or 19? Answer: 18

[3] is 10 3/7 closer to 10 or 11? Answer: 10

[4] is 22 2/9 closer to 22 or 23? Answer: 22

Answer:

We want to write and solve an inequality to determine the number of people who can go to the amusement park.

The solution is p ≤ 11

The friends have a maximum of $225 to spend.

The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220

Each ticket costs $20, so the cost for p people is:

p*$20

And this must be equal to or smaller than $220, then we get the inequality:

p*$20 ≤ $220

To solve it for p, we need to divide both sides by $20, we will get:

p*$20/$20 ≤ $220/$20

p ≤ 11

This inequality gives the number of people that can go to the amusement park.

Step-by-step explanation:

Hope this helps you!!!!!!!!!!! :D

Answer:

-59/12

Step-by-step explanation:

finish whats inSide brackets first

so -12+3 =-9

-9*1/4 will be next and = -9/4

9/4+8/3 =. 59 /12

Answer:

angle LMK , angle MLK, angle LKM

Step-by-step explanation:

just looking at the angles,

angle LMK , angle MLK, angle LKM

this is assuming this drawing is done to scale.

Answer:  268 tickets

Step-by-step explanation:

Let x be the number of Adult tickets

551 = 15 + x + x

551 = 15 + 2x

536 = 2x

268 = x

Hope this helps!

 268 tickets, adult tickets were sold.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

A total of 551 tickets were sold for the school play.

They were either adult tickets or student tickets.

There were 51 more student tickets sold than adult tickets.

Let x be the number of Adult tickets

551 = 15 + x + x

551 = 15 + 2x

536 = 2x

268 = x

hence,   268 tickets, adult tickets were sold.

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Answer:

13/24

Step-by-step explanation:

First: Convert any mixed numbers to fractions. ( 4 7/8 = 39/8 )

Then your initial equation becomes:

39/8÷9/1

Applying the fractions formula for division,

=39×1/8×9

=39/72

Simplifying 39/72, the answer is

=13/24

Answer:

13/24

Step-by-step explanation:

4 x 8 = 32 + 7= 39. Then it would be 39/8 ÷ 9/1 but you would have to do KCF. KEEP the 39/8, CHANGE the division sign into a multiplication sign, and FLIP the 9/1 to 1/9. 39 x 1= 39. 8 × 9= 72. Therefore, the fraction would be 39/72, but you still can simplify. So it would be 13/24.

The two given forces,

[tex]\mathbf F_1 = (-4 \, \mathbf i + 7 \, \mathbf j) \, \mathrm N[/tex]

[tex]\mathbf F_2 = (2a \, \mathbf i - a \, \mathbf j) \, \mathrm N[/tex]

have resultant

[tex]\mathbf R = \mathbf F_1 + \mathbf F_2 = ((2a-4) \, \mathbf i + (7 - a) \, \mathbf j) \, \mathrm N[/tex]

R is parallel to the vector 3i + j, which means the angle between these two vectors is either θ = 0° or θ = 180°. Then

[tex]\mathbf R \cdot (3 \, \mathbf i + \mathbf j) = \|\mathbf R\| \|3\,\mathbf i+\mathbf j\| \cos(\theta)[/tex]

[tex]\implies 3(2a-4)+(7-a) = \pm \sqrt{10} \, \sqrt{(2a-4)^2+(7-a)^2}[/tex]

[tex]\implies 5a - 5 = \pm \sqrt{50} \, \sqrt{a^2 - 6a + 13}[/tex]

[tex]\implies a - 1 = \pm \sqrt2 \, \sqrt{a^2 - 6a + 13}[/tex]

Solve for a :

[tex]a - 1 = \pm \sqrt2 \, \sqrt{a^2 - 6a + 13}[/tex]

[tex]\implies (a - 1)^2 = \left(\pm \sqrt2 \, \sqrt{a^2-6a+13}\right)^2[/tex]

[tex]\implies a^2 - 2a + 1 = 2a^2 - 12a + 26[/tex]

[tex]\implies 0 = a^2 - 10a + 25[/tex]

[tex]\implies 0 = (a - 5)^2[/tex]

[tex]\implies \boxed{a = 5}[/tex]

Answer:

we need a picture of the triangle babe

Answer:

[tex]85 cm^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a rectangular prism such as this is :

V = length * width * depth

To solve for this problem, we just plug in the values and multiply it all out.

[tex]9\frac{1}{8} *2*4\frac{2}{3}[/tex] = [tex]85\frac{1}{6}[/tex]

Therefore, the volume of this prism is 85[tex]cm^{3}[/tex].

Have a nice day and mark brainliest if possible - it always helps ;)

Answer:

288q-185=236q-245

Answer:  288q - 185 = 236q - 245

Explanation:

A product is the result of multiplying. So "product of 288 and q" means "288 times q" or "288*q" or simply "288q".

The rest of the sentence your teacher gave you is probably self explanatory, so there's not much else to mention.