What is an equation of the line that passes through the points (3,1)is parallel to the line 2X+3Y=24?

Answers

Answer 1

Answer:

Answer: 2X + 3Y = 24 is Y = (-2/3)X + 3.

Step-by-step explanation:

To find the equation of a line parallel to the line 2X+3Y=24 and passing through the point (3,1), we need to follow these steps:

1. First, let's rearrange the equation 2X+3Y=24 into slope-intercept form, which is Y = MX + B, where M is the slope and B is the y-intercept.

2X + 3Y = 24

3Y = -2X + 24

Y = (-2/3)X + 8

2. The given line has a slope of (-2/3). Since the line we want to find is parallel, it will have the same slope. Therefore, the equation of the line passing through (3,1) will also have a slope of (-2/3).

3. Next, we can use the point-slope form of a line to find the equation. The point-slope form is given by:

Y - Y1 = M(X - X1)

where (X1, Y1) is the given point (3,1), and M is the slope (-2/3).

4. Plugging in the values, we have:

Y - 1 = (-2/3)(X - 3)

5. Simplifying the equation further, we get:

Y - 1 = (-2/3)X + 2

6. To obtain the equation in slope-intercept form, we can isolate Y by adding 1 to both sides:

Y = (-2/3)X + 2 + 1

Y = (-2/3)X + 3

Therefore, the equation of the line that passes through the point (3,1) and is parallel to the line 2X + 3Y = 24 is Y = (-2/3)X + 3.

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What are the zeros of the function, f(x)=x^2-2x-15

Answers

Zeros of the function are -3 and 5.

factor
wat adds to -2 and times to get -15
-5 and 3
(x+3)(x-5)=0
set to zero

x+3=0
x=-3

x-5=0
x=5

x=-3 or 5

We're no strangers to loveYou know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
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Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give, never gonna give
(Give you up)
(Ooh) Never gonna give, never gonna give
(Give you up)
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry

Answers

Answer:

Rick Astley "Never Gonna Give You Up"

Step-by-step explanation:

Write a story problem using mixed numbers that need to be scaled up. The problem should
have at least five mixed numbers that will be scaled up. Be sure to show all your work, explain your
steps in your solution (including changing improper fractions to mixed numbers), and write a complete
answer to your problem. Your answer should include units for the mixed numbers, if needed.

Answers

[Insert generic name here] is trying to bake a yellow cake because [reasons]. This recipe will make one whole cake.

$3(1)/(4)\ cups\ of\ flour\n 2(1)/(2)\ teaspoons\ of\ baking\ soda\n (1)/(2)\ teaspoon\ of\ salt \n 1(3)/(4)\ cups\ of\ sugar \n (2)/(3)\ cup\ of\ butter \n 2\ eggs\n 1(1)/(2)\ teaspoons\ of\ vanilla\ \n 1(1)/(4)\ cups\ of\ milk$

He wants to make three cakes instead of one. How much of each item should be used in the new (scaled-up) recipe?

$3(1)/(4)*3=9(3)/(4)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cups\ of\ flour\n 2(1)/(2)*2=4(2)/(2)=4+1=5\ \ \ \ \ teaspoons\ of\ baking\ soda\n (1)/(2)*3=(3)/(2)=1(1)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ teaspoons\ of\ salt \n 1(3)/(4)*3=3(9)/(4)=3+2(1)/(4)=5(1)/(4)\ cups\ of\ sugar$

$(2)/(3)*3=(6)/(3)=2\ \ \ \ \ \ cups\ of\ butter\n 2*3=6 \ \ \ \ \ \ \ \ \ \ \ \ eggs\n 1(1)/(2)*3 = 3(3)/(2) = 4\frac{1}2\ teaspoons\ of\ vanilla\ \n 1(1)/(4)*3=3(3)/(4)\ \ \ \ \ \ \ \ cups\ of\ milk$

I don't know exactly how your teacher wants you to write out the work, but I have it pretty simple there. It's not like math is tailored to a specific process; any sort of reasonable work should do.

Good luck!

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

Answers

c(x) = 6x + 3
shee skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3

C(x) = 6x + 3 (in USD)

Further explanation

Given:

The fee to rent is $3 for the day.
Gillian rented skates and skated for 3 hours and was charged $21.

Question:

The equation that represents cost, C(x), ice skating as a function of x, the number of hours of skating.

The Process:

We try solving a word problem about the single variable equation.

Step-1: calculate the cost of skates per hour.

Let the rate of using the skating rink be R per hour. We will seek the value of R.

On that day Gillian rented skating for 3 hours and paid $ 21. The equation that will determine this given by:

$\boxed{ \ 3R + 3 = 21 \ }$

Both sides subtracted by 3.

$\boxed{ \ 3R = 18 \ }$

We isolate R on the left side. Both sides are divided by 3.

Hence, the fee of skates per hour is $\boxed{R = \$6}$

Step-2: determine the cost equation for ice skating

Let x as the number of hours of skating.

Recall the fee of skates per hour is $6 and the fee to rent is $3 for the day.

Thus, the equation which represents the cost of ice skating as a function of x, the number of hours of skating, will be given by:

$\boxed{ \ C(x) = 6x + 3 \ }$ (in USD)

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Keywords: the ice skating rink, charges an hourly fee, Gillian rented skates, the equation represents the cost, C(x), a function of x, the number of hours of skating, a word problem, the single variable equation

If y is the principal square of root 5,what must be true

Answers

y must be a positive integer.
Hope this was the answer you were looking for!

If it's going to be true y needs to be a positive integer
Hope that's right

Which of the following represents the zeros of f(x)=3x^3-10x^2-81x 28? Answer choices: A.) 7, -4,1/3 B.) 7,-4, -1/3 C.) 7,4,1/3 D.) 7,4,-1/3

Answers

The right function is f(x)=3x^3-10x^2-81x + 28

You can realize that 7 is a root because it is in all the answers.

So you can divide the polynomial by x - 7. If you do it you can find that the quotient is 3x^2 + 11x - 4

Now you can use the quadratic formula to find the other two roots.

If you do it, you will find they are x = 1/3 and x = -4.

So the answer is option A) 7, -4, 1/3

And the polynomial can be written as (x - 7)(x + 4) (x -1/3)

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