If you want to show an increase to the original quantity, how could you change the bar diagram?

Answer:

a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) [tex]\mathbf{f(g(9))=16}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]

We need to find  [tex]a) f(g(x))\\b) f(g(9))[/tex]

a) First finding: [tex]f(g(x))[/tex]

It can be found by putting the value of g(x) into f(x)

We are given:

[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]

SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) Now finding: [tex]f(g(9))[/tex]

It can be found by putting x=9 in f(g(x))

We have:

[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]

So, we get: [tex]\mathbf{f(g(9))=16}[/tex]

Answer:

That doesn't make sense to me but what does O means?

Step-by-step explanation:

Well maybe its 2.2.2.2.2.2.2

Answer:

if ur rounding then its 2.2.2.2.2.2.2

Step-by-step explanation:

Answer:

[tex]f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} [/tex]

Answer:

28%

Step-by-step explanation:

1) 25-18=7(your decreased value)

2) 7(decreased value of miles ran)/25(overall number of miles ran)

3) 7/25*4/4 (this will make the denominator 100)=28/100=28%

Answer: k=8

Step-by-step explanation:

k/2 = 4

k = 4 x 2

k = 8

Check: 8/2=4

Answer:

[tex]k=8[/tex]

Step-by-step explanation:

[tex]\frac{k}{2} = 4[/tex]

Multiply both sides by 2 to isolate k

[tex]\frac{k}{2}(2) = 4(2)\\k=8[/tex]

I hope this helps!

Answer:

SA: 231

Step-by-step explanation:

8(12) + 2(5(12)) + 5(3)

96 + 120 + 15 = 231

I hopoe I helped you ;)

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

Answer:

after u get ur answers, u add up all the numbers to get ur total

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

22-5=17

17×2=34

if he had 34 games and sold half he would have 17

if he buys five more he will have 22

Answer:

14 and 12

Step-by-step explanation:

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

12 x 8 is 96. Since a bucket of paint can cover 75,you would subtract 96 from the 75.That gives you 21.So if she only has one gallon,only 21 will remain unpainted.

Hope this helps-Nea

Answer:

See below

Step-by-step explanation:

The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled

Answer: The answer is 20

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]Equation:[/tex]

[tex]\rm{3^2 + 1\times 2}[/tex]

[tex]Simplifying:[/tex]

[tex]\rm{3^2 + 1\times 2}[/tex]

[tex]\rm{= 3\times 3+ 1\times 2}[/tex]

[tex]\rm{= 9 + 1\times2}[/tex]

[tex]\rm{= 9 + 2}[/tex]

[tex]\rm{= 11}[/tex]

[tex]Therefore, your\ answer\ should\ be:[/tex]

[tex]\huge\boxed{\frak{11}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1 because 91-18=1

Step-by-step explanation:

Answer:

D: [0,8]

R: [0,3]

Step-by-step explanation:

The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.

Answer:

Step-by-step explanation:

yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8

Answer:

x = 17

Step-by-step explanation:

Since its a right triangle, you can use Pythagorean Theorem.

8² + 15² = x² (Given)

64 + 225 = x² (Simplify)

289 = x² (Add like terms)

17 = x (Square root both sides)

Answer:

[tex]\displaystyle m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 2)

Point (4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

k = 1

Step-by-step explanation:

16 - 2k = 14

- 16       - 16

    -2k = -2

     -2     -2

       k = 1

Answer:

I think the answer is 24.

Step-by-step explanation:

I think the answer is 24 because if the baseball player hit the bat and ran the base 3 out of 10 times, then you would multiply 8 x 3 to get 24 out of 80. I don't know if this is the correct answer, this is just what I think it may be.

Answer: x² - 16

= x² - 4²

= (x+4)(x- 4)

Step-by-step explanation:

You know it has to be x squared so in the first part of your brackets it would be an x.... (x    )(x    ). Then you have to find out what times what is 16... in this case it is 4... (x    4)(x    4). Next you have to know the rules regarding negatives and positive... if you know that, you should be able to work out that it would be (x-4)(x+4)... you can check this using the foil method (x times x, x times 4, -4 times x and -4 times 4) or smiley face method... hope this helpedFactorised means put into brackets...

Step-by-step explanation:

Given

x² - 9x + 20

= x² - ( 4 + 5) x + 20

= x² - 4x - 5x + 20

= x ( x - 4) - 5 ( x - 4)

= (x - 4)(x - 5)

Hope it will help you :)

Answer:

x^2 -9x+20

Step-by-step explanation:

........

Answer:

$11.25

Step-by-step explanation:

you take 75% of 15

Answer:

11.25

Step-by-step explanation:

because I used a calculator

Answer:

A.) [tex]3\sqrt[]{2}[/tex]

Step-by-step explanation:

Edge 2020 assingment

Goodluck everybody!

∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

A number system is defined as a system of writing to express numbers.

Let us write the prime factors of 54.

54/2 = 27

When fifty four is divided by 2 we get twenty seven.

27/3=9

Twenty seven divided by three is nine.

9/3=3

So 54 = 2 × 3 × 3 × 3

we know ∛ 3 × 3 × 3 = 3

∛54 = ∛ 3 × 3 × 3×2 = 3∛2

Hence, ∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ7

Answer: X= 2

Step-by-step explanation:

if you substitute the options witht the x in the equation. 2 is the only one that has 18 as the result.

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!