Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.

Suppose That The Functions U And W Are Defined As Follows.u(x) ==-x-1w(x) = 2x +1Find The Following.

Answers

Answer 1

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.


Related Questions

Someone please help me. I will give Brainliest. No links, please.

Answers

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

HELP ASAP!!! So is this measuring tape in feet and meters??

Answers

Answer:

The top is the inches and the bottom is the cm.

Step-by-step explanation:

I might not be correct but I hope this works

if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoin

Answers

42000 x 112/100= 47,070 i think :)

20 + 3xy - 4xy +y2 + 10 -y2

Answers

Answer:

−xy−y2+2y+30 is the answer simplified

An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.

Answers

Answer:

89

Step-by-step explanation:

The y intercept is the value when x = 0

Even when you have 0 hours you still have to pay the service fee

The equation is

y = 35x+89

The y intercept is 89

2x+5y=25 3x-y=12 con metodo de sustitución​

Answers

Answer:

x = 5, y = 3

Step-by-step explanation:

2x + 5y = 25

3x - 1y = 12

we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'

5(3x - 1y) = 12(5)

15x - 5y = 60

   2x + 5y = 25

+  15x - 5y = 60

17x = 85

x = 5

plug '5' in for 'x' to solve for 'y':

2(5) + 5y = 25

10 + 5y = 25

5y = 15

y = 3

Graph the line with the slope of -4 and passing through ( 3, 5 ).​

Answers

Answer:

See graph below of the line y - 5 = - 4 (x - 3) OR  y = -4 x + 17    

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.

Find the product of 21 and (6.3 · 10-4).

1.323 · 10 2
1.323 · 10 -3
0.1323 · 10 -1
1.323 · 10 -2

Answers

Answer:  1.323x10^-2  

Step-by-step explanation:

21*(6.3x10^-4) = 1.323x10^-2

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a).

perimeter=326 m

length l=89 m

width w=?

Perimeter of a rectangle=2(l+b)

2(89+w)=326

89+w=326/2=163

w=163-89=74 m

b).

area=4648 cm^2

width=56 cm

length=4648/56=83 cm

find the number that makes the ratio equivalent 1:5. 7:

Answers

Answer:

35

Step-by-step explanation:

1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.

2. (Solving)

Step 1: Cross-multiply.

[tex]1*x=7*5[/tex] [tex]x = 35[/tex]

Therefore, the number that makes the ratio equivalent is 35.

Answer:

1:5 & 7:35

Step-by-step explanation:

7 x 5 = 35

PLSSSSS I WILL MARK BRAINLIEST PLSSSSSS
Raven is making pillows. Each pillow requires 1/3 yard of fabric. Raven has 6 yards of fabric. How many full pillows can she make?????????????????????????????????

Answers

Answer:

10

Step-by-step explanation:

3/5 simpilfied is 0.6

So 6/0.6 = 10

6 divided by 3/5 is 10

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

HELPS PLS DUE IN 5 min:( ILL MARK BRAINIEST!!!

Where is the magnetic field in a hair dryer

Answers

Answer:

Hi :)

ELF magnetic fields measured 10 cm from the nozzles of hair dryers were elevated over the ambient by a mean factor of 17 when these devices were in use. Estimated mean daily times of usage of hair dryers, stereo headsets, and sewing machines were 2.6, 19, and 17 minutes, respectively.

Hope this helped :)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

b

Step-by-step explanation:

Help Please !! And thank you !!​

Answers

Answer:

c

Step-by-step explanation:

Line EG bisects angle DEF

A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price

Answers

Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

Help asap please I need help

Answers

Answer:

the equations is y=x+3-1

Step-by-step explanation:

If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55​

Answers

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

Answer:

ans is i think a) $5.50

Step-by-step explanation:

'cuz if 5 boxes cost $27.50

so it will be

[tex]27.50 \div 5 \\ = 5.50[/tex]

Due to delays, a company had to extend a project from 26 days to 42
days. What was the percentage increase in time to complete the
project? Round your answer to the nearest tenth.

Answers

Answer:

It should be 38.1

Give coordinates for three possible pairs of points for the other two verticies...

Answers

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:

Answers

Thus, the values corresponding to the function and constraints will be:

Objective Function:[tex]C=3.33X+2.00Y[/tex]

Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

We begin by defining the variables. Let call:

X = of servings of dried apricots

Y= of servings of dried dates

For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:

[tex]3.33X[/tex]

For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:

[tex]2.00Y[/tex]

The total cost would be:  

[tex]C=3.33X+2.00Y[/tex]

Product must contain at least 4700mg of potassium

[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.

Learn more: brainly.com/question/16173741

Solve one third plus seven ninths equals blank
Question 1 options:

ten twenty sevenths

eight ninths

ten ninths

nine thirds

Answers

Answer:

the answer is 10/9.

Step-by-step explanation:

Please give BRANIEST and 5 stars if correct!

Answer:

ten ninths

Step-by-step explanation:

"one third plus seven ninths" can be rewritten symbolically as

1/3 + 7/9 and we note that the LCD is 9.  Thus,

1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")

Hello I need plzzzz help

Answers

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

Find the slope of the line through each pair of points.
(19,-4), (-3,9)

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

x changes by -22 (from 19 to -3)

y changes by +13 (from -4 to 9)

the slope is +13/-22 = -13/22

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

American society is made up of people of the same cultural background.



Please select the best answer from the choices provided


T

F

Answers

Answer:

false

Step-by-step explanation:


The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?

A) simplify
B) divide by a
C) complete the square
D) take the square root of both sides

Answers

Answer:

answer choice is B

Step-by-step explanation:

Help pls, due in 10 mins

Answers

Answer:

B. 39

Step-by-step explanation:

134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.

Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.

now we have the bottom right exterior angle, to find the interior 180-124=56.

Then we can set up the equation to find x:

56+46+2x=180

we have 180 because all triangles angle equal 180.

calculate the equation:

combine like terms, (2x)+(56+46)=180

2x+102=180

Subtract 102 from both sides,

180−102=78

2x=78

Divide both sides by 2.

78/2=39

x=39.

-7(11) is -77 or 81 ​

Answers

Hi there!

-7(11) is equivilent to -7*11 which equals -77.

The answer is -77
This so because 7x11=77, bug the negative would make it -77

Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

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