MATHEMATICS HIGH SCHOOL

Using the equation y−1=2(x+3) , find a point that is on the line when graphed.(−1,3)
(−3,1)
(1,−3)
(3,1)

Answers

Answer 1
Answer:

Answer:

(- 3, 1 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 2(x + 3) ← is in point- slope form

with (a, b) = (- 3, 1 )

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The quotient of the difference of a number and 24 divided 8 is the same as the number divided by 6

Answers

The number that satisfies the given condition is -72.

Let's break down the given statement step by step:

The difference of a number and 24:

Let's assume the number is represented by 'x'.

The difference of 'x' and 24 can be written as (x - 24).

Divided by 8: We divide the difference of 'x' and 24 by 8, which gives us ((x - 24) / 8).

The quotient of the difference of a number and 24 divided by 8: So, the quotient is ((x - 24) / 8).

The number divided by 6: We divide the number 'x' by 6, which gives us (x / 6).

The given statement says that the quotient obtained in step 3 is equal to the number divided by 6.

Mathematically, we can represent this as:

((x - 24) / 8) = (x / 6)

To solve this equation for 'x', we can cross-multiply:

6(x - 24) = 8x

Now, we can simplify and solve for 'x':

6x - 144 = 8x

Subtracting 6x from both sides:

-144 = 2x

Dividing by 2:

x = -72

Therefore, the number that satisfies the given condition is -72.

Learn more about expression click;

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x-the\ number\n\n(x-24)/(8)=(x)/(6)\ \ \ \ |multiply\ both\ sides\ by\ 24\n\n3(x-24)=4x\n\n3x-72=4x\ \ \ \ |subtract\ 3x\ from\ both\ sides\n\n\boxed{x=-72}

Garrett is trying to win a prize from the peel-off label on a restaurant soda cup. The restaurant claims that 20% of the cups it has in stock have winning labels of them. He wants to know the probability that he will need to purchase at least three cups to win the prize

Answers

Answer:

Model A   and 64%

Step-by-step explanation:

HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°

Answers

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

Factoriza 4x²-y²-6y-9

Answers

4 x^(2) -y^(2) -6y-9 \n 4 x^(2) = y^(2) +6y+9 \n 4 x^(2) =(y+3)(y+3) \n \sqrt{ 4x^(2) } = √((y+3)(y+3)) =\n2x=y+3\n2x-3=y

y=2x-3
=4x²-(y²+6y+9)
=(2x)²-(y+3)²
=(2x+y+3)*(2x-y-3)

a parking garage charges $2 for the first hour and $1 for each additional hour. Fran has $7.50 to spend for parking. what is the greatest number of hours Fran can park?

Answers

Find the number of greatest hour did Fran used for parking in where:
=> parking charge $2 for the first hour
=> and $1 for the additional hours.
=> Fran spent $7.5 in all.
To get the answer let’s have the solution this way.
=> 7.5 dollars – 2 dollars = we need to subtract the first hour which is 2 dollars.
=> 5.5 dollars left.
=> 5.5 dollars / 1 dollar per hour
=> 5.5 hour + 1 hour
=> 6.5 hours
Thus, Fran parked for 6.5 hours and payed 7.5 dollars.

2 + H = 7.50 ( H is the # of hours after the 1st hour)

2 + H = 7.50

(-2 from both sides)

——————-

H = 5.50

5.50 plus the first hour equals 6.5 hours

He can park there for 6 and a half hours

Is the following a relation a function? X Y
1 -2

1 -3

2 1

3 -2


Yes or no

Answers

no because 1 has more than one output
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