Determine if each conjecture is true or false. If false, provide a counterexample.

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

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:

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:

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:

150

Step-by-step explanation:

60 minutes = 1 full rotation,

In 25 minutes, we have 25/60 rotation,

25/60 *360

150

Answer:

1,4

Step-by-step explanation:

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

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).

The best explanation to given when checking for the value of g that you have found is:

C.  Substitute the value for g on either sides of your equation to check the answer. If the check does not​ work, it is either the answer is incorrect or there were errors you made when checking.

After solving for a variable in an equation, we can cross check to know if our answer is correct or not.

This can be done by plugging in or substituting the value of the variable g into the equation. In most cases, you will find the variable on both sides.

When you substitute, the value on the left must be equal to the value on the right. If during your check, the value on the left does not equal the value on the right, it simply means the check does not work.

Two things might result to a check not working:

Therefore, the best explanation to given when checking for the value of g that you have found is:

C.  Substitute the value for g on either sides of your equation to check the answer. If the check does not​ work, it is either the answer is incorrect or there were errors you made when checking.

Learn more here:

https://brainly.in/question/10429642

Answer:

24

Step-by-step explanation:

12 per half hour means 24 per hour

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:

$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:

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:

that would probably be 4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(3×30+15) = 105

uses the alternate exterior angles theorem

Answer:

Question 3: (6,2)

Question 4: (-1,-4)

Step-by-step explanation:

Look above to see each graphed⤴⤴⤴

Hope this helped :)

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:

8^3 x 12^3

Step-by-step explanation:

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

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:

11.1%

Step-by-step explanation:

2/18 = 11.1%

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)

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

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

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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.