f(x) = 6x + 2 g(x) = -5x -9 Find the product of f and g.​

Answer:

w = 1/2

Step-by-step explanation:

One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.

log b (a) = c

b^c = a

By plugging in the numbers we get this:

log 16 (4) = w

16^w = 4

w = 1/2

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

Answer:

0.6

Step-by-step explanation:

First make them into decimals so.

9.4 - 8.8 = 0.6

Step-by-step explanation:

okay so let's convert this from mixed to improper fraction

9 2/5= 47/5

8 4/5= 44/5

47/5-44/5= 3/5

Answer:

Step-by-step explanation:

Here we use the SUM FORMULA:  sin(a + b) = sin a cos b + cos a sin b

sin(A + B) = sin A*cos B + cos A*sin B.  We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.

Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17.  Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15.  Thus, cos A = 15/17 and sin A = 8/17.

We find sin B similarly.  cos B = (side adjacent to B)/25  =  24/25.  Therefore the side opposite B is √(25² - 24²) = 7.  Thus, sin B = 7/25 and cos B = 24/25.

Then sin (A + B) = sin A*cos B + cos A*sin B

                           = (8/17)*(24/25) + (15/17)(7/25)

Here there are two products of fractions.  This product (above) can be rewritten as

                                                    8(24) + 15(7)             (3)(64) + (3)(5)(7)

= sin A*cos B + cos A*sin B = --------------------------- = --------------------------

                                                            17(25)                         17(25)

Answer: 61.4

Step-by-step explanation:

Answer:

Field hockey has a higher variation of heights.

There is more of a difference between the different heights in field hockey.

9514 1404 393

Answer:

  33°

Step-by-step explanation:

We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...

  Sin = Opposite/Hypotenuse

  sin(angle) = (3 ft)/(5.5 ft)

  angle = arcsin(3/5.5) ≈ 33.0°

The angle of elevation of the ramp is about 33°.

Answer:

10,000

Step-by-step explanation:

620,000/62 = 10,000

Answer:

1/2

Step-by-step explanation:

3x=(1/2)(2x+2)

3x=x+1

3x-x=x-x+1

2x=1

x=1/2

answer:spot-less

Step-by-step explanation:

21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"

Answer:

1131 m^3

Step-by-step explanation:

Formula is π r^2h

then substitute the values r=6,h=10

1130.97

then round the number by nearest tenth.

which is 1131.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Given:

  Kyle's balance is -$2.25

  Jason's balance is -$2.00

  Sue's balance is: $2.25

Required:

  A: plot and label the points on a number line from -4 to +4

  describe how you did it

  B: determine who owes more

Solution:

Part A: For the attached plot, we used the Desmos graphing calculator utility, giving it the points (-2.25, 0), (-2.00, 0), and (2.25, 0) to plot on x-y coordinates. The y-axis and minor grid lines are suppressed in order to better approximate a number line. The "label" facility is utilized to attach labels to the points.

Part B: Balances are owed to the bank when the balance is negative. The more negative it is, the more is owed. Kyle's point is farthest to the left on the number line (and is left of 0), so Kyle owes more. The ordering is ...

  -2.25 < -2.00 < 0

where |-2.25| > |-2.00|. The number -2.25 is Kyle's balance, so he owes more.

Hello! The girl above me is correct :)

Answer:2.65

Step-by-step explanation:

The answer is 2.65

Answer:

The third one

Step-by-step explanation:

You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.

Answer:

(a)

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]

(b)

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]

(c)

[tex](A - B) - C = \{a\}[/tex]

[tex]A - (B - C) = \{a,b,c\}[/tex]

They are not equal

Step-by-step explanation:

Given

[tex]A= \{a,b,c\}[/tex]

[tex]B =\{b,c,d\}[/tex]

[tex]C = \{b,c,e\}[/tex]

Solving (a):

[tex]A\ u\ (B\ n\ C)[/tex]

[tex](A\ u\ B)\ n\ C[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

[tex]A\ u\ (B\ n\ C)[/tex]

B n C means common elements between B and C;

So:

[tex]B\ n\ C = \{b,c,d\}\ n\ \{b,c,e\}[/tex]

[tex]B\ n\ C = \{b,c\}[/tex]

So:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}\ u\ \{b,c\}[/tex]

u means union (without repetition)

So:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

Using the illustrations of u and n, we have:

[tex](A\ u\ B)\ n\ C[/tex]

[tex](A\ u\ B)\ n\ C = (\{a,b,c\}\ u\ \{b,c,d\})\ n\ C[/tex]

Solve the bracket

[tex](A\ u\ B)\ n\ C = (\{a,b,c,d\})\ n\ C[/tex]

Substitute the value of set C

[tex](A\ u\ B)\ n\ C = \{a,b,c,d\}\ n\ \{b,c,e\}[/tex]

Apply intersection rule

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

In above:

[tex]A\ u\ B = \{a,b,c,d\}[/tex]

Solving A u C, we have:

[tex]A\ u\ C = \{a,b,c\}\ u\ \{b,c,e\}[/tex]

Apply union rule

[tex]A\ u\ C = \{b,c\}[/tex]

So:

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{a,b,c,d\}\ n\ \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

The equal sets

We have:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

So, the equal sets are:

[tex](A\ u\ B)\ n\ C[/tex] and [tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

They both equal to [tex]\{b,c\}[/tex]

So:

[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]

Solving (b):

[tex]A\ n\ (B\ u\ C)[/tex]

[tex](A\ n\ B)\ u\ C[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]

So, we have:

[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d\}\ u\ \{b,c,e\})[/tex]

Solve the bracket

[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d,e\})[/tex]

Apply intersection rule

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ \{b,c,e\}[/tex]

Solve the bracket

[tex](A\ n\ B)\ u\ C = \{b,c\}\ u\ \{b,c,e\}[/tex]

Apply union rule

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ (\{a,b,c\}\ n\ \{b,c,e\})[/tex]

Solve each bracket

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}\ u\ \{b,c\}[/tex]

Apply union rule

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

The equal set

We have:

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

So, the equal sets are:

[tex]A\ n\ (B\ u\ C)[/tex] and [tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]

They both equal to [tex]\{b,c\}[/tex]

So:

[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]

Solving (c):

[tex](A - B) - C[/tex]

[tex]A - (B - C)[/tex]

This illustrates difference.

[tex]A - B[/tex] returns the elements in A and not B

Using that illustration, we have:

[tex](A - B) - C = (\{a,b,c\} - \{b,c,d\}) - \{b,c,e\}[/tex]

Solve the bracket

[tex](A - B) - C = \{a\} - \{b,c,e\}[/tex]

[tex](A - B) - C = \{a\}[/tex]

Similarly:

[tex]A - (B - C) = \{a,b,c\} - (\{b,c,d\} - \{b,c,e\})[/tex]

[tex]A - (B - C) = \{a,b,c\} - \{d\}[/tex]

[tex]A - (B - C) = \{a,b,c\}[/tex]

They are not equal

Answer:

[tex]f(t)= 27000 * 0.965^t[/tex]

Step-by-step explanation:

Given

[tex]a = 27000[/tex] -- initial

[tex]r = 3.5\%[/tex]

Required

The exponential equation

The exponential equation is

[tex]y =ab^t[/tex]

Where

[tex]b=1 -r[/tex]

We used minus, because the rate decreases..

So, we have:

[tex]b=1 -3.5\%[/tex]

[tex]b=1 -0.035[/tex]

[tex]b=0.965[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 27000 * 0.965^t[/tex]

Hence:

[tex]f(t)= 27000 * 0.965^t[/tex]

Answer:

1. f (2) = 3 x 2^x-1  

2. f (-1) = -3 x 2^x

3. f (10) =​ 3 x 2^x/10

Step-by-step explanation:

Answer:

141.96

Step-by-step explanation:

The area or solution for the area of a triangle is base* height divided by 2 so what I did was 31.2cm as the base and 9.1 as the height and I multiplied them together and then I divided by 2! Hope this helped!

Answer:

Yes.

Step-by-step explanation:

No x value is used twice.

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Step-by-step explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767          (1)

b + 2a = 775          (2)

Solve for a in (1)

2b + a = 767          (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775     (flip)

2( -2b + 767 ) + b = 775     (solve)

   −4b + 1534 + b = 775     (add b)

          -3b + 1534 = 775     (subtract 1534 from both sides)

                     −3b = −759   (divide both sides by 3)

                         b = 253

Substitute b into (1)

      a = -2b + 767              (substitute)

      a = -2 (253) + 767      (solve)

      a = -506 + 767           (add)        

      a =  261

Answer:

Step-by-step explanation:

Answer:

There are 60 dvds.

Step-by-step explanation:

72 - 3 - 9 = 60

Answer:

The second answer option

Step-by-step explanation:

Lmk if you need explanation

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

Answer on= 12

Step-by-step explanation:

The value of PQ in rhombus NPQR is 76 units.

The figure above is a rhombus.

Therefore,

PQ = NR = NP = RQ

5x + 16  = 9x - 32

5x - 9x = -32  - 16

-4x = -48

x = -48 / -4

x = 12

PQ = 5(12) + 16 = 60  + 16 = 76 units

learn more on rhombus here: https://brainly.com/question/25278931?referrer=searchResults

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

DRACO MALFOY- i don't think this needs a further explanation. :)

Step-by-step explanation:

- Malfoy...DRACO Malfoy..

-Scared, Pottah?

-Honestly, Goyle, if you were any slower, you'd be going backwards.

-ItS kiLleD mE

-You and your bLOody ChiCKen

mk im done:)