The largest doll is 12 cm tall. The height of each following doll is ¾ of the height of the next largest doll. Write an expression involving the power for the height of the smallest doll. What is the height of the smallest doll?

Answer:

[tex]\frac{x+4}{3}[/tex] ; 3

Step-by-step explanation:

In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.

The sum of a number x and 4, all divided by 3.

Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.

[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]

Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.

(5)+4

   3

    [tex]\frac{9}{3}[/tex]

9/3 gives you 3, so your answer would be 3.

Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)

Answer:

5/1

or 5x

is the slope

brainliest please :)

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

Answer:

[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]

Answer:

A) She should buy the

Step-by-step explanation:

Part A:

For question A, we find the areas of both plots and see which one is greater.

For the first one, we do 3/8 * 2/3

[tex]\frac{3}{8} * \frac{2}{3} = \frac{6}{24} = \frac{1}{4}[/tex]

The area of the first plot is 1/4 square miles

For the second one, we do 2/5 * 2/5

[tex]\frac{2}{5} *\frac{2}{5} = \frac{4}{25}[/tex]

The area of the second plot is 4/25 square miles

We have 1/4 and 4/25.

To see which one is bigger, we make them have the same denominator, also known as the LCM (Least Common Multiple).

LCM(4,25) = 100

Now we make 1/4 have a denominator of 100

4 times what is 100?

25, so the numerator is 25 and the denominator is 100.

We get: 25/100

Now we make 4/25 have a denominator of 100

25 times what is 100?

4, so the numerator is 4 * 4 = 16 and the denominator is 100.

We get: 16/100

Now we can see which is bigger:

25/100 or 16/100

25/100 is bigger

Therefore, Miguel's mother should buy the plot with dimensions 3/8 and 2/3.

Part B

For part B, I'm not sure which plot of land she is going to pay for, so I will answer both.

We answered this in Part A already.

The 3/8 and 2/3 plot was 1/4 square miles and the 2/5 by 2/5 plot was 4/25 square miles.

Plot 1:

1/4 square miles

It said that it costs $750,000 for a square mile

This plot is 1/4 square miles, so we do

[tex]$750,000 * \frac{1}{4} = \frac{750,000}{4} = 187,500[/tex]

The cost for plot 1 is $187,500

Plot 2:

4/25 square miles

It said that it costs $750,000 for a square mile

This plot is 4/25 square miles, so we do

[tex]750,000*\frac{4}{25} = \frac{3,000,000}{25} = 120,000[/tex]

The cost for plot 1 is $120,000

So for the 3/8 by 2/3 plot, it cost $187,500 and for the 2/5 by 2/5 plot costs $120,000

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!

ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!

Answer:

No, but the reason depends. Pick the one that applies to the question.

Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.

Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.

Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.

yung may dalawang one true answer promise

Answer:

Step-by-step explanation:

g(x) = -x² - x - 1 = -1(x² +x + 1)

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

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

Answer:

-7

Step-by-step explanation:

-3m+5m=-14

2m=-14

divide both sides by 2

m=-7

Answer:-3+5m is -8m

Step-by-step explanation: Because the 3 is negative and it is plus

Answer:

f(x) = -x -1

Step-by-step explanation:

f(x) = mx + b

find 2 points on the line:

A( -1 , 0)

B( 0 , -1)

Put them in the equation and fine m & b:

0=m(-1)+b

-1=m(0)+b

so b= -1

and m= -1

so f(x) = -x-1

Answer:

-x - 1

Step-by-step explanation:

line is passing through (-1, 0) (0, -1)

m = (-1 - 0) / (0 - (-1) )

= -1 / 1

= -1

line equation = y - y1 = m (x - x1)

y - 0 = -1 (x - (-1) )

y = -1 (x + 1)

y = -x - 1

y = f(x)

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

Answer:

do u need help?

Answer:

3 + 1 * 7 = 28 I don't know if that's what you want but

Answer:

The answer is 3

Step-by-step explanation:

Ok so basicaly the equation is 7(x+1)=28

there really is no hard math involved. I did it pretty quick in my head.

28/7=4

4-1 = 3

so ya  

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

https://brainly.com/question/4084552

#SPJ5

Answer:

1

Step-by-step explanation:

(-6,4) and (2,12)

slope = m = (y2 - y1) / (x2 - x1)

= 12 - 4 / 2 - (-6)

= 8/8

= 1

Answer:6 and 7

Step-by-step explanation:

Answer:

You need 6 cups of chips

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

x + 36 and 3x are corresponding angles and are congruent , so

3x = x + 36 ( subtract x from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

m∠2 = ______75__

m∠3 = ____105____

m∠4 = _____75___

Step-by-step explanation:

i did the math

Answer:

x = -5

Step-by-step explanation:

-2(x-2)=14

x - 2 = 14 ÷ (-2)

x - 2 = -7

x = -7 + 2

x = -5

Hope this helps!

Answer:

-2 (x - 2) = 14

Step-by-step explanation:

x = -5

I used a calculator, pls let me know if im incorrect

I think it might be D

The amount of time it would take for 5 people to build 15 sheds is; 3 days.

Since, according to the question;

In essence; By proportion 1 person can build 4sheds in four days.

We are required to determine how long it will take 5 people to build 15 sheds.

Therefore: for 1 person;

Therefore, it takes 1 person 15 days to build 15 sheds.

Ultimately, when the job is divided between 5 people; It takes 15/5 = 3 days to build 15 sheds.

Read more:

httpss://brainly.com/question/23459360

Answer:

C, because each time, the number of purple dots, or vertices increases by one..

2, 3, 4, ?..

the next would be five, which is C.

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

Answer:

24 I didn't know which one you were doing so I just did a triangular...

Step-by-step explanation:

⦿ Hi There! ⦿

Point-Slope form:

y-y1=m(x-x1)

y-1=m(x-(-6)

Perpendicular lines have slopes that are opposite reciprocals.

It means that if we have -1/2, we flop it over and make it positive.

So the slope of the new line is 2.

y-y1=m(x-x1)

y-1=2(x-(-6)

y-1=2(x+6)

y=1=2x+12

y=2x+12-1

y=2x+11

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

Answer:

f(g(x) ) =  (x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5

Step-by-step explanation:

f(x) = x³- 2x² + 3x - 5                g(x) = x² + x - 1

f(g(x))

f(x² +  x - 1)      substitute x² +  x - 1 into each x term in using f(x)

(x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5