A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.

Answer:

A.[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Step-by-step explanation:

We are given that

[tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]

We have to find the quotient.

[tex]\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]

[tex]\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})[/tex]

[tex]2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})[/tex]

Using the property

[tex](ab)^n=a^n\cdot b^n[/tex]

[tex]2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})[/tex]

Using the property

[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

[tex]2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}[/tex]

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}[/tex]

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Hence, the quotient of [tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex] is given by

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Option A is correct.

Answer:

A

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer:

If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.  

In this equation:

y=mx+b

m= is the slope of the line.

A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4

Examples:

y=3/4 x+ 50000

y=3/4 x -51/36

y=3/4 x -√2

These functions could be parallels to the line y=3/4 x +2/5

Answer:

see below.

Step-by-step explanation:

The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.

y = 3/4x + b  where b is anything but 2/5 is one answer. Disguised but still likely is

4y = 3x + b        Where you could divide everything by 4

y = 3/4x + b/4

Even something like

-4y = - 3x + b  is possible because when you divide by -4, you get

y = -3x/-4 + b/-4

y = 3x/4 - b/4      

96/2= 48

given figure is a square.the line is bisect the angel

thank you

Answer:

The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.

Step-by-step explanation:

Given

Mean absolute deviations of set 1 and 2

Required

Complete the gap

From the complete question, we have that:

set 1 has a larger mean absolute deviation than set 2

This means that:

The dataset of set 1 is more spread out than that of set 2

The reason for this is that:

set 1 has a larger mean absolute deviation

Answer:

Maggie did not apply the law correctly

Step-by-step explanation:

Given 3 numbers A, B and C, for a commutative property

(A+B)+C = C+(A+B)

This shows that the remains the same no matter what values comes first

For the given expression

4/5+6.9y-8 = 6.9y+8-4.5

The values are not commutative because of the presence of negative sign. For the expression to be commutative, they must be equal no matter the way it is arranged and the sign must be positive all through for both sides. Hence Maggie did not apply the law correctly

Answer:

C and D

Step-by-step explanation:

2x^2  + 7x + 6

(2x + 3)(x+2)

x = -3/2 = -1.5

x = -2

Answer:

the second option

y = (-1/2)x + 11

Step-by-step explanation:

x = 2

y = (-1/2)×2 + 11 = -1 + 11 = 10

the same as the table.

x = 4

y = (-1/2)×4 + 11 = -2 + 11 = 9

the same as the table.

x = 6

y = -3 + 11 = 8

the same as the table.

x = 8

y = -4 + 11 = 7

the same as the table.

Answer:

Cuatro es la respuesta también conocida como d

Answer:

Step-by-step explanation:

Answer:

ok so if they are congreant that mean the

x=38

Answer:

38

Step-by-step explanation:

Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°

Name the bottom angle C.

X + C = 180   (linear pair)

38 + C = 180 (linear pair)

X + C = 38 + C Subtract C from both sides

X = 38

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Answer:

Surface Area = 150.8 square inch

Step-by-step explanation:

[tex]Surface \ Area = 2 \pi r h + 2 \pi r^2 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ r = 4 , \ h = 2 \ ] \\\\[/tex]

                    [tex]= 2 \pi \times 4 \times 2 + 2 \pi 4^2\\\\=16 \pi + 32 \pi \\\\= 48 \pi \\\\= 150.796 \\\\=150.8 \ square \ inch[/tex]

Answer:

A^2 +2AB+B^2

Step-by-step explanation:

thats an open bracket of the question .Hope its needful

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

Answer:

y = 5x - 2

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

-x is n

Y=0

Answer:

D

Step-by-step explanation:

Basically....... graph shown in picture

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps

Answer:21.99

Step-by-step explanation: Given diameter of a circle is(d)=7cm.

Now, we know that circumference of circle is =πd, where d is diameter of circle.

So, here circumference is = π×7cm

= 22/7 x 7 cm

Circumference = 22cm

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Diameter of the circle "d" = 7 cm

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The circumference of the circle.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\: 22\:cm.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]

[tex] = \frac{22}{7} \times 7 \: cm[/tex]

[tex] = 22 \: cm[/tex]

Therefore, the circumference of the circle is 22 cm.

[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\pink{❦}}}}}[/tex]

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A :  [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B :  [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

   [tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

   [tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

Learn more about exponential growth function here

https://brainly.com/question/11487261

#SPJ2

Answer:

[tex]C" = (-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]C = (4,3)[/tex]

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

[tex]C(x,y) \to C'(x,-y)[/tex]

So, we have:

[tex]C(4,3) \to C'(4,-3)[/tex]

Next, C' is reflected over y-axis to give C''

The rule to this is:

[tex]C'(x,y) \to C"(-x,y)[/tex]

So, we have:

[tex]C'(4,-3) \to C"(-4,-3)[/tex]

Answer:

x + 6y = -3

Step-by-step explanation:

Explained in the paper.

Answer:

1/3 + 6/35

Step-by-step explanation:

We are given;

−2/7 × 1/5 + 1/3 - 4/5 × -2/7

Using the rule of bodmas, we will group them and solve with multiplication being the first operation.

1/3 - (4/5 × -2/7) + (−2/7 × 1/5)

Factorization of first and second bracket gives;

1/3 + 2/7(4/5) + 2/7(-1/5)

Factorizing again gives;

1/3 + 2/7(4/5 - 1/5)

>> 1/3 + 2/7(3/5)

>> 1/3 + 6/35

Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

Step-by-step explanation:

Answer:

430 km

Step-by-step explanation:

If they traveled 350 km by bus and biked 80 km more than they were bused, then,

Traveled by bus, Y = 350 km

Traveled by bike, X = 350 + 80 = 430 km

Hope this will help. Please mark me brainliest if it helps.

Answer:

The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

Step-by-step explanation:

I believe this is correct, if not let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

4 is the answer...........

_4 is the best answer of this question

Answer:

option 3 : (2x - 7 )

Step-by-step explanation:

ax + bx = x(a+ b)

a(x+ y) + b(x+y) = (x+y)(a+b)

[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex]      [ (2x + 5) is common is both terms ]

[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]

Therefore , the binomial is ( 2x - 7)

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:2. okra

Step-by-step explanation: