What is the quotient of

9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  [tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

Answer:

Step-by-step explanation:

Y equals mx plus b

Answer:

29 av

Step-by-step explanation:

Answer:

y=(2/3)x+5/3

Step-by-step explanation:

y-9=2/3(x+7)

y=(2/3)x+14/3+9

The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:

y=(2/3)x+b (where b is the y-intercept)

We can plug in the values (2,3) into this equation to find b:

3=(2/3)*2+b

3=4/3+b

b=5/3

The equation is: y=(2/3)x+5/3

Answer:

f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5

Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.

f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8

Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).

f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0

Explanation: Again, you can't square root negative numbers.

f(x) = 8x : All real numbers

Not much to explain for this one, any real number makes this equation true.

Answer:

≈ 14%

Step-by-step explanation:

percent increase is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

Increase = 16489 - 14523 = 1966 , then

percent increase = [tex]\frac{1966}{14523}[/tex] × 100% = [tex]\frac{1966(100)}{14523}[/tex] ≈ 14% ( to nearest percent )

Answer:

14% :)

Step-by-step explanation:

Answer:

a=144.15

median=157.5

Answer:

Step-by-step explanation:

To make a negative exponent positive, you have to put the term the exponent is on under a 1.

[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

[tex]x = 5 \: and \: y = 1.[/tex]

Step-by-step explanation:

[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]

[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]

Multiply Equation no (1) with 2 and Equation no (2) with 7.

[tex]14 x + 8y = 78.[/tex]

[tex]14x + 28y = 98.[/tex]

[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]

[tex]0x + -20y = - 20[/tex]

[tex] - 20y = - 20[/tex]

[tex]y = \frac{ - 20}{ - 20} [/tex]

[tex]y = 1[/tex]

Substitute the value of "y" in Equation no (1)

[tex]7x + 4y = 39.[/tex]

[tex]7x + 4(1) = 39.[/tex]

[tex]7x + 4 = 39.[/tex]

[tex]7x = 39 - 4[/tex]

[tex]7x = 35.[/tex]

[tex]x = \frac{35}{7} [/tex]

[tex]x = 5.[/tex]

Answer:

[tex] \:   7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]

Hope it helps

Answer:

729/15625

Step-by-step explanation:

1. Evaluate the power

( (27/125) ÷ 1 )^2

2. divide

( 27/125 )^2

evaluate the power

( 27^2 / 125^2 )

729/15625

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

[tex]x\geq0[/tex]

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; In domain

1  => greater than zero: In domain

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Answer:

Uhh what??

Step-by-step explanation:

Do you mean like 1.75 in a decimal form??

Answer:

second one

Step-by-step explanation:

just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.

Answer:

A

Step-by-step explanation:

<CPA = 50o                     Given

<FPB = 50o                      Vertically opposite a 50 degree angle

<CPF = 90o                      Given

<CPB = <FPB + <CPF       Given or found

<CPB = 50 + 90                Substitute

<CPB = 140o

Answer:

1st box is -4

2nd box is -4

3rd box is 3

4th box is -1

Answer: 15x squared -4x-3

rewrite the expression

15x squared + 5x-9x-3

factor the expressions

5x × (3x+1)-3(3x+1)

factor the expression

solution

(3x + 1) × (5x - 3)

Step-by-step explanation:

here is the answer friend

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............

Answer:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

[tex]\displaystyle y=\frac{1}{2}x-2[/tex]

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(1)=\frac{1}{2}(x-(-8))[/tex]

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]

Therefore, our equation is:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

Answer:

A.

Step-by-step explanation:

C and D do not create any x² terms when doing the multiplications. so, they are out.

B stands for (a+b)×(a-b) = a² - b².

so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.

that leaves us with A.

let's verify :

(4x+2i)(4x-2i)

it follows the same rule as B :

(a+b)(a-b) = a² - b²

a = 4x

b = 2i

you remember, i = sqrt(-1).

so, we get

(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4

bingo !

Answer:

Step-by-step explanation:

the answer is A

Answer:

there is 81 student and 317 adults adults :) got u

Step-by-step explanation:

4452 = 8n + (4n-7)12

4452 = 8n + 48n - 84

4536 = 56n

81 = n

Answer:

Slope = 2/3

Step-by-step explanation:

See the image attached below.

The red line represents the "run".

The blue line represents the "rise".

Slope = rise/run

Rise = 4 units

Run = 6 units

Slope = 4/6

Simplify

Slope = 2/3

Answer:

A. It acts perpendicular to an object

Answer:

The answer is x = -3.

Step-by-step explanation:

To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].

Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.

Answer:

C. 3x - 5

Step-by-step explanation:

The inputs are the values of x and the outputs are the values of y.

checking all options by placing any output as x and seeing if it gives the same output as in the table.

All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")

Let's take x = 4

placing it in 3x - 5

output (y) = 3(4) - 5

= 12 - 5

= 7

same as the output given in the table so the answer is C.

Answer:

For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).

If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40

And we can now add to the $50 the $40: 50 + 40 = $90

Answer:

$40

Step-by-step explanation:

$.20×200=$40

it's pretty simple