Function f is defined by f(x)=2x-7 find f(3)

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

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:

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:

[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:

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:

Write the mixed number as a decimal. 83/5

16.6

Answer:

1- it is irrational

2- it is rational

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

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:

(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:

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:

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:

5

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

Answer:

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

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:

10.7

Step-by-step explanation:

300 - 289.3 = 10.7 calories.

Answer:10.70

Step by step explanation

300-289.3=10.70

Answer:

the answer is 20

Hope it helps

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:

leading co-efficent is 4

Answer:

The answer is

Step-by-step explanation:

v = πr²h

To solve for h divide both sides by πr²

That's

We have the final answer as

Hope this helps you

Answer: h=0hr/2−3.141593r2+v

Step-by-step explanation:Hope this help

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:

0.15

Step-by-step explanation:

Answer:

i think this is it

Step-by-step explanation:

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:

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.

5 - ( x - 2 )

substitute -

5 - ( -1 -2 )

first solve the bracket

5 - ( - 1 - 2 )

therefore,

5 - ( - 3 )

solve

= 8

hope that helps !