Find the constant of proportionality k in the equation y = 24x

Answer:

leading co-efficent is 4

Answer: k = $0.50

Step-by-step explanation:

The data that we have is:

Rocko paid: $12.50 for 25 tickets.

Louisa paid: $17.50 for 35 tickets.

Now, the question asks to find the constant of proportionality.

A proportional relation can be written as:

y = k*x

where k is the constant, and in this case, y is the price and x the number of tickets bought.

Then replacing with the values above, we have:

$12.50 = k*25

then:

k = $12.50/25 = $0.50

And the other data:

$17.50 = k*35

K = $17.50/35 = $0.50

So we have the same k in both cases, this means that the constant of proportionality is k = $0.50

5 - ( x - 2 )

substitute -

5 - ( -1 -2 )

first solve the bracket

5 - ( - 1 - 2 )

therefore,

5 - ( - 3 )

solve

= 8

hope that helps !

Answer:

x=-7 has a multiplicity of 2 and x=7 has a multiplicity of 3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.

Answer:

399

Step-by-step explanation:

396 is divisible by 3, but not 7.

399 is divisible by 3, and 7.

402 is divisible by 3, but not 7.

405 is divisible by 3, but not 7.

Answer:

Step-by-step explanation:

-7 -x - 3 = 12

-x - 10 = 12

-x = 22

x = -22

Answer:

1- it is irrational

2- it is rational

Answer:

[tex]x=3/2=1.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]49=7^{2x-1}[/tex]

Note that 49 is the same as 7 squared. Thus:

[tex](7)^2=(7)^{2x-1}[/tex]

Since they now have the same base, the exponents must be equal to each other. So:

[tex]2=2x-1[/tex]

Add 1 to both sides:

[tex]3=2x[/tex]

Divide both sides by 2:

[tex]x=3/2=1.5[/tex]

And we're done!

Answer:

1/16 or 0.0625

Step-by-step explanation:

we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.

Answer:

0.0625

Step-by-step explanation:

[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)

First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)

256 ( [tex]4^{-7}[/tex] ) (4 )

Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.

256 ( [tex]\frac{1}{16384}[/tex]) (4)

256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625

HOPE THIS HELPED

Answer:

[tex]x=\frac{30}{(1+x)}[/tex]

Step-by-step explanation:

step one:

This is a word problem, we need to translate is it to mathematical terms before we solve

"When x is added to its square, the total is 30"

step two:

[tex]x+x^2=30[/tex]

[tex]x+x^2=30\\\\x(1+x)=30\\\\[/tex]

step three:

divide both sides by 1+x we have the value of x as

[tex]x=\frac{30}{(1+x)}[/tex]

Answer:

i think this is it

Step-by-step explanation:

Answer:

There is one solution.

Step-by-step explanation:

x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : [tex]f(x) = 4x+ 3[/tex]

All those values of a set for which a function is defined are called a domain.

According to the question :

[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]

[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]

Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]

Learn more about function here :

https://brainly.com/question/30721594

# SPJ2

Answer:

12x+17

Step-by-step explanation:

3(4x+5)+2

12x+15+2

12x+17

ANSWER:

12x+17=y

Step-by-step explanation:

12x+15+2

12x+17

Answer:

The length RS = 7

Step-by-step explanation:

Here, we are interested in determining the length of RS

Let’s have the line segment arranged as follows;

Q R S

where QR = 9 and QS = 16

From the arrangement, we can deduce that;

QS = QR + RS

Thus;

RS = QS - QR

RS = 16 -9

RS = 7

Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Cancel common factor of 9,

(x/5)=(4/5)

Multiply both sides by 5,

(5x/5)=(20/5)

Simplify to get x = 4

Answer:

Step-by-step explanation:

Hey There!! ~ （。＾▽＾）

The answer to this is: [tex](- 2, - 7)[/tex]

Explanation: [tex]3x^{2} + 12x 5[/tex]

[tex]y = 3( x + 2)^{2} - 7[/tex]

  [tex]3( x + 2) ^{2} - 7[/tex]

[tex]a = 3[/tex]

[tex]h = 2 \ - 7[/tex]

[tex]k = - 7[/tex]

Hope It Helped!~

Good Luck With Your Assignment~

Answer:

0.15

Step-by-step explanation:

Answer:

Converse- If q, then p. Contrapositive- If not p, then not q

Step-by-step explanation:

Let's say your conditional is if an angle is 90 degrees then it is a right angle.

Then the converse is, if an angle is a right angle then it is 90 degrees.

Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.

Answer:

1/10

Step-by-step explanation:

First, find the probability of choosing the red pen:

There are 6 total pens and 3 are red, so the probability will be 3/6

This can be simplified to 1/2

Then, find the probability of choosing a blue pen after not replacing the red one:

There are 5 total pens now, since we did not replace the red one.

There is only 1 blue pen, so the probability is 1/5

Then, multiply these 2 probabilities together:

1/2(1/5)

= 1/10

So, the probability is 1/10

Hey there!

[tex]Answer:\boxed{2x-28}[/tex]

[tex]Explanation:[/tex]

[tex]2x-30+2[/tex]

Let's start off by simplifying.

[tex]2x+-30+2[/tex]

Now let's combine like terms.

[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]

[tex]\boxed{2x-28}\text{ is your answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

132 ft per second

Step-by-step explanation:

180 miles in 2 hours

180 miles = 950400 ft.

2 hours = 7,200 secs.

950400 ft in 7,200 secs

Answer:

[tex] (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]

Step-by-step explanation:

Area of rectangle = Product of sides

[tex] = (2x + 1) \times (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]

Answer:

the answer is 20

Hope it helps

Answer:

Write the mixed number as a decimal. 83/5

16.6