jeff decides to go to an outdoor skating rink the rink charges to rent a pair of skates and every hour of skating costs 2.00$ per person jeff. has at most 20$ to spend and needs to rent a pair of skates

Answer:

he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.

I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.

My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?

For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.

In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.

Step-by-step explanation:

Answer:

Independent: The number of Tickets

Dependent: The number of Josiah's friends

Step-by-step explanation:

The number of tickets is Independent because the number of tickets is something that is final. The number of Josiah's friends could change depending on if the friend come or not.

Answer:

x=2/3

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Because it is a polynomial with highest degree of x = 2.

Answer:

y=3x+27

Step-by-step explanation:

I first wrote down point-slope form, then substituted your point (-7,6) and the slope to get b (the y intercept).

Answer:

308

Step-by-step explanation:

first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.

Answer:[tex]\frac{2A}{f} -2=f[/tex]

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

Answer: Yes

Step-by-step explanation:

Remember, a fraction with a negative sign anywhere is a negative fraction; in other words, it represents a negative quantity. As long as you write only one negative sign, it doesn't matter whether you put it before the denominator, before the numerator or before the entire fraction

Find the slope of the perpendicular line

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

            ⇒  if the slope of one of the lines =  - 6

                 then the slope of the perpendicular line (m) = ¹/₆

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                              ⇒  y - 20 =  ¹/₆ (x - (-12))

                               ∴  y - 20 = ¹/₆ (x + 12)

We can also write the equation in the slope-intercept form (y=mx+c) like the equation in the question by making y the subject of the equation and expanding the bracket to simplify:

                          since   y - 20 = ¹/₆ (x + 12)

                                      y - 20 =  ¹/₆x + 2

                                              y =  ¹/₆x + 22

∴ the slope-intercept equation of the perpendicular line is y =  ¹/₆ x + 22.

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

Step-by-step explanation:

Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

answer

is 13.21 because i did the promble on the calculatoor

Using the binomial probability relation, the probability of the following events are :

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

Learn more :https://brainly.com/question/12474772

The slope of the line y = 5x - 3 is 5

Answer:

y= mx + b

and to my knowledge 5 would be your slope since m=5

Step-by-step explanation:

He is making $2.50x (x = amount of drinks sold)

Than we subtract the amount of money he lost - $15

$2.50x - $15

Hope this helps.

Answer:

angle OPN, angle PON, angle NOP, angle PNO

Step-by-step explanation:

Essentially, this simply asks what angles contain the line OP. If we draw the triagnle NOP (in that order starting at the top), we can see that all these angles include the line OP within their angles.

(note: Im not sure if it is asking for the line OP in that order. If so, it would only be angles 1 and 3, as those have OP in that order)

Answer:

$5

Step-by-step explanation:

if 5 leis are worth $25, each lei would be 25/5

25/5 is 5/1, when the denominator is one, that is unit price

the unit price is $5

Answer:

$6.30

Step-by-step explanation:

since 1/3 is considered 1/3 of a pound, you can multiply 2.10 by 3.

2.10 x 3 = 6.30

Answer:

$6.30

Step-by-step explanation:

3 × 2.10 = 6.30

You know you got the question right if you divide 6.30 by 3 because it's 1/3

Answer:

8^3 x 12^3

Step-by-step explanation:

Answer:

9/8 days

Step-by-step explanation:

If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).

You can think of it like this:

It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.

Answer:

24

Step-by-step explanation:

12 per half hour means 24 per hour

Answer:

Question 3: (6,2)

Question 4: (-1,-4)

Step-by-step explanation:

Look above to see each graphed⤴⤴⤴

Hope this helped :)

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Given -

{(x, y): y = 2x-3)}

To find -

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

Answer:

yes yes no yes

Step-by-step explanation:

Answer:

9 and 11

Step-by-step explanation:

let the consecutive odd integers be n and n + 2 , then

4n = 5(n + 2) - 19 , that is

4n = 5n + 10 - 19 ( subtract 5n from both sides )

- n = - 9 ( multiply both sides by - 1 )

n = 9 and n + 2 = 9 + 2 = 11

The 2 integers are 9 and 11

Answer:

1,4

Step-by-step explanation:

trust me.........................well I am a stranger but trust I guess

Answer:

150

Step-by-step explanation:

60 minutes = 1 full rotation,

In 25 minutes, we have 25/60 rotation,

25/60 *360

150

Answer:

30

Step-by-step explanation:

(3×30+15) = 105

uses the alternate exterior angles theorem