Trinity sold candles for $7 each after she paid a $10 setup fee. The equation f(x)=7x-10 shows the profit Trinity will make from selling candles where x is the number of candles and f(x) is the profit she will make. If Trinity has 30 candles to sell, find the domain and range of the function.

Answer:

[tex]\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}[/tex]

Step-by-step explanation:

When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.

So we can do this by term.

[tex]2x^3 \cdot x[/tex]

Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes [tex]2x^4[/tex].

Same logic applies to the second term: [tex]8x^2[/tex], raise the exponent by one, [tex]8x^3[/tex].

For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so [tex]x^1[/tex] in this case - as [tex]x^1=x[/tex]). Again, using the same logic, this turns into [tex]x^2[/tex].

For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, [tex]3 \cdot x = 3x[/tex].

Adding these terms all together gets us [tex]2x^4 + 8x^3 + x^2 + 3x[/tex].

Hope this helped!

Answer:

x=16

Step-by-step explanation:

-8x-3=13-9x

-8x+9x=13+3

x=16

Answer:

x = 16

Step-by-step explanation:

subtract 8x from both sides

-3 = 13 -x  subtract 13 to both sides

-16 = -x multiply both sides by -1 which gives you 16 = x

Step (1)

[tex](6w - 7) + (3x + 8) = 142[/tex]

[tex]6w + 3x - 7 + 8 = 142[/tex]

[tex]6w + 3x + 1 = 142[/tex]

Subtract sides -1

[tex]6w + 3x + 1 - 1 = 142 - 1[/tex]

[tex]6w + 3x = 141[/tex]

Divided sides by 3

[tex] \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ [/tex]

[tex]2w + x = 47[/tex]

I call above equation (( Ω ))

_________________________________

Step (2)

[tex]180 - 142 = 38[/tex]

We have :

[tex](6w - 7) + 38 = (10w - 9)[/tex]

[tex]6w - 7 + 38 = 10w - 9[/tex]

[tex]6w + 31 = 10w - 9[/tex]

Subtract sides -6w

[tex]6w - 6w + 31 = 10w - 6w - 9 \\ [/tex]

[tex]31 = 4w - 9[/tex]

Plus sides 9

[tex]31 + 9 = 4w - 9 + 9[/tex]

[tex]40 = 4w[/tex]

Divided sides by 4

[tex] \frac{40}{4} = \frac{4}{4}w \\ [/tex]

[tex]w = 10[/tex]

_________________________________

Do u remember (( Ω )) ?

Of course u do...

[tex]2w + x = 47[/tex]

[tex]2(10) + x = 47[/tex]

[tex]20 + x = 47[/tex]

Subtract sides -20

[tex]20 - 20 + x = 47 - 20[/tex]

[tex]x = 47 - 20[/tex]

[tex]x = 27[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

wheres the table?

i cant see the table

Answer:

Benjiro will have more kills because 40 divided by 10 is 4 so 4 times 4 is 16 while 3 times 5 is 15

Step-by-step explanation:

Answer:

When Miranda works 5 hours instead of 4, her pay goes up by

 $56.00 - 44.80 = $11.20

That is, Miranda is paid $11.20 for each hour she works.

The slope of Tyler's graph indicates he is paid $9.00 for each hour he works. Miranda's pay per hour is $11.20 - 9.00 = $2.20 more than Tyler's.

Miranda earns $2.20 more per hour than Tyler

Answer:

She can write 2 pages and 4/5 extra.

Step-by-step explanation:

We know that she has already written for 1/14 of a minute. Now we need to turn that fraction into a whole, because the problem is asking for a whole minute.

___ x 1/14 = 1?

14

Now we take the 1/5, and multiply it by the 14 to see how much she writes in a minute.

1/5 x 14 = 14/5

Last we simplify.

14/5 = 2 4/5

Answer:

they won 52 games

they lost 19 games

the equation is  2x + 33= 71

Step-by-step explanation:

they played 71 games in total

say the amount of games they won is y

say the amount of games they lost is x

using the variables, you can form this equation:

y + x = 71

you also know that they won 33 more games then they lost.

so, y = x + 33

now, you can substitute y for x + 33 in the original equation

x + x + 33 = 71

combine like terms

2x + 33 = 71

subtract 33 from both sides of the equation

2x + 33 - 33 = 71 - 33

2x = 71 - 33

2x = 38

divide both sides of the equation by 2

2x/2 = 38/2

x = 38/2

x = 19

they lost 19 games.

now substitute 19 for x in the equation

y = x + 33

y = 19 + 33

y = 52

they won 52 games

Figure MNOP is similar to figure M'N'O'P'.

Answer:

Figure MNOP is similar to figure M'N'O'P'.

Step-by-step explanation:

hope this helped :)

Answer:

10

Step-by-step explanation:

−6+14−9−(−3)+8

=8−9−(−3)+8

=−1−(−3)+8

=2+8

=10

-6 + 14 - 9 - (-3) + 8

8 - 9 - (-3) +8

-1 + 3 + 8

2 + 8

10

0-Yellow

0.25-Green

-2-Blue

/-Green

π-Purple

I wish that answers your question

Thank You

Answer:

Your answer is v25 and v26.

Step-by-step explanation:

I hope this helped, have a good day! ;)

Step-by-step explanation:

The answer is

Distance is 42000 kmph

The distance the rocket has traveled after 1 hour with a speed of 700km/hour is 700 km.

Given,

A rocket is launched from the launch pad at a speed of 700 km/hr.

We need to find how far will the rocket has traveled after 1.0 hr.

Speed is the ratio of distance per time.

Speed = Distance /Time

Its unit is km/hour or m/second.

We have,

Speed = 700 km/h

Distance = D

Time = 1 hour

From the speed formula:

Speed = Distance / Time

700 = Distance / 1

700 km / hour x 1 hour = Distance

Distance = 700 km

Thus the distance the rocket traveled after 1 hour with a speed of 700km/hour is 700 km.

Learn more about relative speed here:

https://brainly.com/question/28224010

#SPJ2

Answer:

−3x+y=−23

Step-by-step explanation:

wow this is exactly 1 year ago from today

 -3x +y= -23  is the equation of this line in Standard Form .

What is in slope-intercept form?

m = 3

the point =  (6,-5)

the equation of this line

           y - y₁ = m ( x - x₁)

           y - ( -5 ) = 3 ( x - 6 )

           y + 5 = 3( x - 6 )

            y + 5 = 3x - 18

             y = 3x - 18 - 5

             y = 3x - 23

            -3x +y= -23

Learn more about slope-intercept form

brainly.com/question/9682526

#SPJ2

Answer

C

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

so you set up an equation because the sides are equal

10+x=4x+1

then you solve

10=3x+1

9=3x

x=3

Answer:

RT = 23

Step-by-step explanation:

We will have a line that essentially goes like this:

R-----S-----T

The distance from R to S is 12 units.

The distance from S to T is 11 units.

We need to find the distance from R to T.

R is the starting point and T is the ending point.

To find the total distance, we can add both line lengths.

12 + 11 = 23 units

Best of Luck!

Answer:

True

Step-by-step explanation:

Answer:

TRUE!

Step-by-step explanation:

Answer:

11 ft =132in

Step-by-step explanation:

first u multiply the length value which is 12

11 x 12 = 132

Answer:

R = V/I+E

Hope this helps!

What even is this question?

Answer:

A. x=5

B. Look at image for answer

Step-by-step explanation:

No she is not correct.

Since both angles have the same measurement you set them equal to each other as so & solve for x

2x+90= x+95

x+90=95

x=5

In order to find the angle measurements you plug in 5

2(5)+90

10+90

= 100 degrees

Supplementary angles add up to 180 degrees so the angle next to the 100 degree one is 80 degrees

Answer:

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

20x+7=10

20x=10-7

20x=3

x=3/20

x=0.15

Answer:

744.5

Step-by-step explanation:

Answer:

744.5

Step-by-step explanation:

the answer is 744.5

Answer:

Ok

Step-by-step explanation:

Answer:

2>-4

Step-by-step explanation:

The answer is D. positive numbers are always greater than negative numbers.

Answer:

5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5