suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=

Answers

Answer 1

Answer:

5 and 13

Step-by-step explanation:

To evaluate (w ○ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is

u(8) = = 8 + 9 = 17 , then

w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5

---------------------------------------

To evaluate (u ○ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is

w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then

u(4) = 4 + 9 = 13

Answer 2

Answer:

Step-by-step explanation:

[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]


Related Questions

While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?

Answers

Horse = x = 1 head and 4 feet

Chicken =y = 1 head and 2 feet

Horse + chicken = x + y = 43 ( total heads)

Horse = 43 - y

4x + 2y = 122

4(43-y) + 2y = 122

Simplify:

172-4y + 2y = 122

Combine like terms

172-2y = 122

Subtract 172 from both sides

-2y = -50

Divide both sides by-2

Y = 25

X + y = 43

X + 25 = 43

X = 18

There are 18 horses and 25 chickens.

Three times the sum of a number and 18 is at least-30

Answers

Answer:

the sum of the number is 16 and it is al least 20 points

Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States

Answers

Answer:

320M

Step-by-step explanation:

It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:

32,000,000 x 10 = 320,000,000

320,000,000 people live in the US.

~

John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.

What was the new status of John's account at this point?

Answers

Answer:

210

Step-by-step explanation:-133-55-22=210

Solve w = 9x + 5 y for y

Answers

Answer:

w-9x/5=y

Step-by-step explanation:

w=9x+5y

subtract 9x from both sides

w-9x=5y

divide by 5y

w-9x/5=y

w = 9x + 5y
5y = w - 9x

divide everything by 5

y= (1/5)w - (9/5)x

write rhis number in standard notation. 1.342×10^-7​

Answers

Answer:

0.0000001342

Step-by-step explanation:

lim x ->0 ln(1+5x)/2x

Answers

answer

−>0(1+5)/2

hope it helps

Answer these questions

Answers

Step-by-step explanation:

B)1.supplementary

2.complementary

3complementary

4supplementary

5supplementary

6complementary

C)1.40

2.35

3.63

4.130

what is the 30th square number

plz tell the answer​

Answers

Answer:

900

.........................

Answer:

900

Step-by-step explanation:

30 square is like 30×30=900

Expanded form for 4082 × 1/10=

Answers

Answer:

4000+0+80+2×0.1

Step-by-step explanation:

after expanding, /means division so you diving

GENTE PORFAVOR ME AJUDA

Answers

You have asked for help without actually providing what you need help on.

please, solve for x!

Answers

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?

Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.

4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2

Answers

9514 1404 393

Answer:

  (c)  16.5 cm^2

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2

Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2

The difference in area is ...

  22.5 cm^2 -6 cm^2 = 16.5 cm^2

Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1

Answers

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

Width = W = 24.6x - 10.4Length = L = 7x + 3.1

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?


PLZ HELP I NEED IT

Answers

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

To know more about Function

https://brainly.com/question/12431044

#SPJ5

11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!

Answers

To find the solutions of quadratic equation, there are two ways to do which are:

FactorizeQuadratic Formula

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×b

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.​

Answers

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

Calculate the area of the triangle.
Note: Think about which side to use as the base.

Answers

9514 1404 393

Answer:

  27 square units

Step-by-step explanation:

The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.

  A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area

What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?

Answers

The equation is y = 4/5x + 6/5

If you drive 565 miles a day, how far will you have gone at the end of a week?​

Answers

565x7= 3,955
If you drive 565 miles a day for 7 days do 565 times 7!

PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.

Answers

Answer:

Solution given:

Equation of line is:

y=-⅔x

comparing above equation with

y=mx+c

we get

m=-⅔

So

slope is -⅔

Answer:

slope is -2/3

Step-by-step explanation:

I. It's linear equation

    y = mx + b

when y is output, x is input, m is slope and b is addition.

The statment above is y = -2/3x + 0

So -2/3 is slope or m.value

Hope that help :D

what is ninety two thousand one hundred seventy

Answers

Answer:

92170

I hope it's helps you

Multiply 546.1 × 0.52 = ____

Answers

Answer:283.972 is your final answerHope this helps!!! <3

Can someone help me please :00

Answers

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

Solve for x where 2/x=2exponent x

Answers

Answer:

x = 1

Step-by-step explanation:

2/x = 2^(x)

x = 1

hope that helps

help me out with this!

Answers

Answer:

k = 70

Step-by-step explanation:

Since we have been given the value of x to be -ve5 (-5),

we multiply 6 and -5( value of x). Which gives;

-30.

Then add the answer (-30) to 100.

-

K = -30 + 100

= 100 - 30

=70

Note;

(+ * + = +)

( + * - = -)

(- * - = +)

I hope this helps you.

Answer:

[tex]k=70[/tex]

Step-by-step explanation:

[tex]k=6x+100[/tex]

[tex]x=-5[/tex]

[tex]k=6(-5)+100[/tex]

Remove parentheses:- [tex]\left(-a\right)=-a[/tex]

[tex]k=-6\times 5+100[/tex]

Multiply [tex]6\times5= 30[/tex]

[tex]k=-30+100[/tex]

Add [tex]-30+100=70[/tex]

[tex]k=70[/tex]

OAmalOHopeO

Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...

Answers

Answer:

a + 4(n-1)

Step-by-step explanation:

The first term is a+4, the second term is a+8, the third term is a+12, etc.

A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as

4 * (n-1) + a

5. Find the area of the shaded region as a simplified
expression.
3r
x + 8 stund
2r - 1
x2–5x+3

Answers

Answer:

x³ -3x²-34x+24

Step-by-step explanation:

the area of the shaded region =

(x²-5x+3)(x+8) - 3x(2x-1) =

x³+8x²-5x²-40x+3x+24- 6x²+3x =

x³ -3x²-34x+24

How would I write a number subtracted from 2 times a number is 19 as an equation?

Answers

Answer:

[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]

This is the answer

if wrong please correct me ! :)

Help me pls!!!!!!!!!!!​

Answers

Answer:

.01 times

Step-by-step explanation:

Other Questions
What is the main difference between dew and clouds? What is the square root of 1 to the second power give an example of a true statement that has a false converse?its for geometry math. PLEASE HELP X+11/8 = -3Show your work in details if you can, I have a hard time understanding this. please answer my question it's urgent Help!Find the value of x for which ABCD must be a parallelogram. Sort the possessive adjectives.nuestroSingularPluralosWhats the answer I need help What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term. The Mongol Empire was the largest empire in the world before _______ Empire. 50 PTS Read the following quote:"Your invention of the alphabet is worth more to your people than two bags full of gold in the hands of every Cherokee." -Sam Houston (from History of Sequoyah, Cherokee.org)Based on this quote, what can you conclude?Sam Houston was responsible for inventing the Cherokee alphabet.Sam Houston was a famous Cherokee Chief.Sequoyah was a famous Cherokee Chief.Sequoyah was responsible for inventing the Cherokee alphabet. A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?(Remember for trapezoids A= (b1 + b2)/2 x h en qu escenas se hace referencia a la falta de recursos para equipar el ejrcito? Pelcula: el ejrcito de los Andes a car advertisement States that a certain car can accelerate from rest to70km/h in 7seconds find the car's average acceleration Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2 There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed. Can someone help me thanks! What was China motive in joining World War I alongside the allies what is electron configuration? 3. The average pencil can be sharpened 17 times and write about 45,000 words. Which canwrite longer, wooden #2 pencils or mechanical pencils (with one piece of lead)?Please help :( Hoping for a few scraps of food, the tiny puppy scooted closer to the table where the man was eating. She placed her paws on the edge of the man's seat to signal that she was hungry. The man gently eased the whining puppy back onto the floor. "No begging," he scolded. Pushing his plate away from the edge of the table, the puppy walked away from the man.What is the function of the phrase "hoping for a few scraps of food in the first sentence?It is a participial phrase that modifies puppy.It is an infinitive phrase that modifies puppy.It is a participial phrase that modifies man.It is a gerund phrase that is the subject of the sentence.