Complete the equation describing how x
and y are related.
Х у
y = [? ]x +
07
1 9
2 11
3 13
4 15
5 17
Enter the answer that
belongs in [?]

Answer:

[tex]ıf \: {3x}^{3x - 2} = 81[/tex]

Step-by-step explanation:

use logarithmic function

[tex] log_{3x}(81) = 3x - 2[/tex]

Answer:

4 and x=2

Step-by-step explanation:

:}

Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

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Answer:

Step-by-step explanation: sajkdkdksskkcfd

Step-by-step explanation:

Hi there!

Please see attached picture for your answer.

Hope it helps!

Answer:

66 2/3 %

Step-by-step explanation:

2/3

Take 2 and divide by 3

.666666(repeating)

Multiply by 100

66.6666(repeating)%

But .6666666(repeating) is 2/3

66 2/3 %

Answer:

[tex] 66.66\%[/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \times 100\% \\ \frac{200}{3} \% \\ 66.66\%[/tex]

A number has fixed number of factors but infinite number of multiples

Ex:-

Take a number 12

It has factors 1,2,3,4,6,12

It is fixed.

But

It has multiples 12,24,36,48,60...

It is infinite

Answer:

the answer is 1/14

hope this helps you

9514 1404 393

Answer:

  (a)  1/14

Step-by-step explanation:

Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.

  [tex]\left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}[/tex]

Answer:

9×10^7 + 9×10^6 + 9×10^4 + 8×10^3 + 1 ×10^2 + 9×10 + 2

please mark this answer as brainlist

Answer

3y(5x+1)

Step-by-step explanation:

9*(5x+1)/3y

3(5x+1)y

Answer:

Step-by-step explanation:

sum: 5x + 1

factor: 3 which divides into 9 evenly

quotient: the answer to division: 9(5x + 1)/(3y) = 3(5x +1)/y

coefficent: this depends on what you have been told. In my day, there were two kinds of coefficents

numerical: 5 and 3

literal: x and y

Answer:

The function is positive when x>1

Answer:

A

Step-by-step explanation:

The degree of the Polynomial is 3

Here we have a problem of maximization and quadratic equations.

The unit prize that maximizes the revenue is $1,500, and the maximum revenue is $18,000.

We know that the revenue equation is:

R(P) = - 8p^2 + 24,000p

Where the variable p is the price.

Now we want to find the value of p that maximizes the revenue.

To do it, we can see that the revenue equation is a quadratic equation with a negative leading coefficient.

This means that the arms of the graph will go downwards, then the maximum point of the graph will be at the vertex.

Remember that for an equation like:

y = a*x^2 + b*x+ c

The x-value of the vertex is at:

x = -b/(2*a)

Then for the equation:

R(P) = - 8p^2 + 24,000p

The vertex is at:

p = -(24,000)/(2*-8) = 1,500

The value of p that maximizes the revenue is p = $1,500

To get the maximum revenue, we need to evaluate the revenue equation in that p value.

R(1,500) =  - 8*(1,500)^2 + 24,000*1,500 = 18,000

And the revenue equation is in dollars, then the maximum revenue is 18,000 dollars.

If you want to learn more, you can read:

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p = 1500  $    the unit price

R(p) = 18000000 $ maximum revenue

We will use two different procedures to calculate the maximum revenue.

That is equivalent to solve the problem and after that to test the solution

The first one is:

R(p) = - 8*p² + 24000*p

we realize that R(p) is a quadratic function ( a parabola) of the form:

y = a*x² + b*x + c    ( c = 0 in this case)

We also know that  as the coefficient of p² is negative the parabola opens downwards then the vertex is a maximum value for R(p), and the x coordinate of p is:

x = p =  - b/2*a   then by substitution

p = - ( 24000)/ 2 ( - 8)

p = 1500  $   and for that value of p

R(p) = - 8 ( 1500)² + 24000* (1500)  = - 18000000 + 36000000

R(p) = 18000000 $

The second procedure is solving with the help of derivatives.

R(p) =  - 8*p² + 24000*p

Tacking derivatives on both sides of the equation we get:

R´(p) = -16p  +  24000

If R´(p) = 0    then    -16p  +  24000 = 0

p = 24000/ 16         p  =  1500

if we check for the second derivative

R´´(p) = -16          -16 < 0  therefore there is a maximum value for R(p) when p = 1500, and that value is:

By substitution in R(p)

R(p) = -8 *(1500)² + 24000* 1500

R(p) =  - 18000000 + 36000000

R(p) = 18000000 $

Answer:

1/5

Step-by-step explanation:

the two points are(7,5) and (2,4)

let,(x1,y1)=(7,5) and (x2,y2)=(2,4)

slope (m)=y2-y1/x2-x1

=4-5/2-7

=-1/-5

=1/5(minus ,minus are cut)

Answer:

D. -4

Step-by-step explanation:

the slope formula is

m=(y2-y1)/(x2-x1)

(x2,y2) = (4,7)

(x1, y1) = (5,3)

So (7-3)/(4-5) = 4/-1 = -4

Answer:

-4

Step-by-step explanation:

I say so

Answer: 0.0228

Step-by-step explanation:

please check photo explanation

The probability that the sample mean will be greater than 22.2 ounces will be equal to 0.0228

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given values in the question,

[tex]\mu_x[/tex] = 22

σ(x) = σ/√n

= 1/√100

σ(x) = 0.1

P(x>22.2) = 1- P(x<22.2)

= 1- P(x × μ(x))/ σ(x) < (22.2 - 22)/0.1

1 - P (z < 2.00)

1- 0.9772

= 0.0228

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Answer:

10

5z+15=65

Step-by-step explanation:

5z+15=65

5(10)+15=65

Answer:

Yes lolololololololololololololololol

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{1}{2}*10^{8t}=73 \\\\10^{8t}=146 \\\\8t=log_{10}(146)\\\\t=\dfrac{log_{10}(146)}{8} \\\\\\t=0,27054410...\approx{0.27}[/tex]

Answer:

x = 150°

Step-by-step explanation:

Interior angle of a hexagon = 120° and interior angle of a square = 90°

so remaining angle, 360-120-90 = 150°

[tex]\displaystyle \int_1^3 \frac{\mathrm dx}{x^2-2x+5}[/tex]

Follow the instruction and complete the square in the denominator:

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

Then the integral is

[tex]\displaystyle \int_{x=1}^{x=3} \frac{\mathrm dx}{(x-1)^2+4}[/tex]

Substitute y = x - 1 and dy = dx :

[tex]\displaystyle \int_{y+1=1}^{y+1=3} \frac{\mathrm dy}{y^2+4} = \int_{y=0}^{y=2}\frac{\mathrm dy}{y^2+4}[/tex]

Substitute y = 2 tan(z) and dy = 2 sec²(z) dz :

[tex]\displaystyle \int_{2\tan(z)=0}^{2\tan(z)=2}\frac{2\sec^2(z)}{(2\tan(z))^2+4}\,\mathrm dz = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \mathrm dz = \frac12 z\bigg|_{z=0}^{z=\pi/4} = \frac12 \left(\frac\pi4-0\right) = \boxed{\frac\pi8}[/tex]

Answer:

29

Step-by-step explanation:

As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.

Answer:

c) 29

Step-by-step explanation:

they are the prime no. in sequences so, the nex one prime no. is 29 ,

so the answer will be 29

hope it's helpful to you ☺️

Answer:

there are 100 cm in every meter which means that dividing will convert ot to meters. you can make the conversion quick and easy by simply moving the decimal point in your measurement 2places or place values to left

Step-by-step explanation:

hope it will help you

Step-by-step explanation:

A=140sq. units

Step-by-step explanation:

ABCD

A=13

B=15

C=14

D=20

C=14×14

=196sqr.units

Answer:

28 square units.

Step-by-step explanation:

This is a rectangle with sides (7 - (-7) and (5 - 3)

= 14 by 2

= 28 unit^2.

Answer:

Step-by-step explanation:

f(x) = 4(x-3)² + 6

Up-opening parabola with vertex (3, 6)

g(x) = -2(x+1)² + 4

Down-opening parabola with vertex (-1,4)

A. True

B. True

C. False

D. True

E. False

F. False

The correct statements are:

Here we have the two quadratic functions:

The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:

f(3) = 0 + 6 = 6

So the vertex is (3, 6)

For g(x) we can see that the vertex is at x = -1, and:

g(-1) = 0 + 4

So the vertex is at (-1, 4)

Also, you can see that for g(x) and f(x) the leading coefficients are of different sign. Meaning that f(x) opens upwards and g(x) opens downwards.

Now that we know the two vertices, we can see that the correct options are:

"The vertex of function g is 4 units to the left of the vertex of function f."

"The vertex of function gis 2 units below the vertex of function f."

"Function gopens in the opposite direction of function f."

If you want to learn more about quadratic functions, you can read:

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Answer:

w = 124/15 = 8 4/15

Step-by-step explanation:

[tex]-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}[/tex]

Answer:

Cube C

Step-by-step explanation:

[tex]{ \sf{because \: it \: is \: identical}}[/tex]

Answer:

Parallel

Step-by-step explanation:

Because of interior alternate angles

Angle ARS and Angle BRS are Interior alternate angles in this case ..

Answer:

The inverse is x/3 -1

Step-by-step explanation:

y = 3x+3

To find the inverse, exchange x and y

x = 3y+3

Solve for y

x-3 =3y+3-3

x-3 = 3y

Divide by 3

x/3 - 3/3 = 3y/3

x/3 -1 = y

The inverse is x/3 -1