If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?

Answer:

I believe D is the correct answer

According to the given sine function, it is found that the period of rotation is of 0.21 seconds.

Suppose a sine function modeled by:

[tex]y = A\sin{[B(x + c)]}[/tex]

The period is given by:

[tex]P = \frac{2\pi}{B}[/tex].

In this problem, the function is:

h(t)=60+45 sin (30t).

The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:

[tex]P = \frac{2\pi}{30} = 0.21[/tex]

The period of rotation is of 0.21 seconds.

More can be learned about the period of a sine function at https://brainly.com/question/16818112

Step-by-step explanation:

where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)

Answer:

The number line "D" represents the solution to 5+8x<3(2x+4)

Answer:

Solve;

5 + 8x < 3(2x + 4)

Perform the distributive property:

5 + 8x < 6x + 12

-5              -5

8x < 6x + 7

-6x     -6x

2x < 7

/2   /2

x < 3.5, so your answer is D.

Answer:

c

Step-by-step explanation:

the distance between a to b is

| 15 - (- 7) | = | 15 + 7 | = | 22 | = 22

or

| - 7 - 15 | = | - 22 | = 22

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We're given:

Plug these given points into the formula for distance:

[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]

Therefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.

Answer:

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

Step-by-step explanation:

Let me give you a quick brief of how to master rotations!!

You need to understand the formula and positioning rules

The formulas shall be given by teachers or looked up!

*** BUT THE SHAPE POSITIONING RULES MATTER!!

-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.

The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)

The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!

They want you to graph it by W'X'Y'Z

The ' is prime which is the new position/coordinate

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

That is the rotation 90 degrees clockwise coordinates!!

***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**

Counterclockwise is pretty similar but the opposite direction with different rules!

**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**

Answer:

a)True

b)True

c) False

d) True

e)True

f) True

Answer:

8

Step-by-step explanation:

Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.

Thanks for the points. Hope it helps :)

Answer:

9\72=8

Step-by-step explanation:

9x8=72

  _08_

9|   72

 -   72

-----------

   0

please mark brainliest

Answer:

Point W is [tex](-5,-4)[/tex]

Point Z is [tex](-5,6)[/tex]

Hope This Helps! :) Please Give Brainliest if you can!

Answer: Point W is (5, -4 Point Z is (-5,6)

First, we have "at least 120 bagels"

So we write ≥120 bagels.

Now, we are given that:-

Mrs. Trevino already has 2 dozen bagels.

Remember, a dozen is equal to 12, so if we have 2 dozen, then we have

[tex]\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}[/tex]

Now, she'll buy the remaining bagels in packages of 6, so we write

6x (packages of 6)

So the inequality looks like so:-

[tex]\sf{6x+24\geq 120}[/tex]

Now, let's solve the inequality :)

First, subtract 24 from both sides:-

[tex]\sf{6x\geq 120-24}[/tex]

[tex]\sf{6x\geq 96}[/tex]

Divide both sides by 6:-

[tex]\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}[/tex]

Hope everything is clear :)

Answer:

2

Step-by-step explanation:

2⁹ ÷ (4^x) = 32^x × 32^(-1)

2⁹ ÷ 32^(-1) = 32^x × 4^x

16384 = 128^x

Kalau kamu dah belajar logaritma,

[tex]x = log_{128}(16384) \\ x = 2[/tex]

Jika belum,

2¹⁴ = 2^(7x)

Bandingkan kuasa persamaan tersebut,

7x = 14

x = 2

Answer:

-12

Step-by-step explanation:

because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4

Answer:

Exact Form:3√2+6

Decimal Form:

10.24264068…

Step-by-step explanation:

Answer:

89,470

Step-by-step explanation:

Answer:

28620

Step-by-step explanation:

→ Find the multiplier

( 100 + 6 ) ÷ 100 = 1.06

→ Multiply by the original amount

27000 × 1.06 = 28620

Answer:

9 in × 5 in

Step-by-step explanation:

the area of a rectangle :

length × width

and this is 45 in² in our case.

the perimeter of a rectangle is

2×length + 2×width

and this is 28 in in our case.

l×w = 45

l = 45/w

2×l + 2×w = 2×(45/w) + 2w = 28

45/w + w = 14

45 + w² = 14w

w² - 14w + 45 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = -14

c = 45

w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r

= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =

= (14 ± 4)/2 = 7 ± 2

w1 = 7 + 2 = 9 in

w2 = 7 - 2 = 5 in

l1 = 45/w1 = 45/9 = 5 in

l2 = 45/w2 = 45/5 = 9 in.

so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

Answer:

5/8

Step-by-step explanation:

Just gonna fill up the required space here lol

Answer:

Step-by-step explanation:

(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x

(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6

(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

18x² + 21x + 6  

The equation C -7 - 3/4 = 0 is an algebraic equation

To solve the equation we (a) add 7 and 3/4 to both sides of the equation

The equation is given as:

C -7 - 3/4 = 0

Make C the subject of formula by adding 7 and 3/4 to both sides of equation

C = 7 + 3/4

Now, we can solve for C

Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation

Read more about equations at:

https://brainly.com/question/2972832

Answer:

x = 3

Step-by-step explanation:

[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]

Comparing like terms on both sides, we find:

[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]

[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]

Answer:

by using bodmas rule

to solve this problem

Step-by-step explanation:

=3^-6/3^-4

=3-2-4

=-3

Answer:

∠ BCD = 44°

Step-by-step explanation:

the secant- tangent angle BCD is half the difference of the intercepted arcs, so

∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°

Answer:

So, we can check step by step.

2x^2-7x+5=0

So, 2x^2-2x-5x+5=0 is correct

2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct

(I'll skip the next step)

2x-5=0,

2x=5

x=5/2, NOT 2/5

The other one is correct

Sorry if this seems a bit vague!

[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]

Lauren written 2/5 instead of 5/2

Let's verify once more

The appropraite statistical test that would be used to measure the difference  in the variability of the mean scores among the three schools is mean absolute deviation.

Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.

MAD =  [tex]\frac{1}{n}[/tex]∑ l x - m(x) l

Where:

To learn more about mean absolute deviation, please check: https://brainly.com/question/27365177

The amount of money Adam should save now in order to accomplish his goal is $13,470.30.

In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.

Present value = future value / (1 + interest)^time

Interest = 1.92/2 = 0.96%

Time = 18 x 2 = 36

$19,000 / (1.0096^36) = $13,470.30

To learn more about present value, please check: https://brainly.com/question/26537392

Answer:

6 times means 6 multiplied by

The sum of a number and 2 means x + 2

x = number

(2+x) × 6

Step-by-step explanation:

Here are all the answers.