Rewrite the equation so that y is a function of x 5y-2x=15

Answers

Answer 1
Add 2x on both sides and it becomes 5y=15+2x. Divide both sides by 5 and you get y=2/5x+3.

Related Questions

What is the value of t? t−122=3t2−3 –3 –1 1 3

Answers

If your equation is ...

[tex]t-122=3t^2-3[/tex]

then it has no real solutions, and certainly no integer solutions.

_____

The attached graph show the left side is never equal to the right side of this equation for any real values of t.

the correct answer is actually 3

i just got done with the quiz and the answer was 3

Is the point (8'10), a solution of the equation y=16x-3

Answers

Lets find out...
(8,10)...x = 8 and y = 10

y = 16x - 3
10 = 16(8) - 3
10 = 128 - 3
10 = 125....nope...incorrect
therefore, (8,10) is not a solution to this equation

litter along a 15 mile stretch road will be picked up by 6 different groups of students which equation shows how to find the number of miles each group needs to clean

a.15 divided by 6=6/15
b. 6 divided by 15=6/15
c. 15 divided by 6=15/6
d. 6 divided by 14 =15/6

Answers

c) 15 divided by 6 = 15/6

In Sean's fish tank there are 6times as many goldfish as guppies that's are a total of 21 fish in the tank how many more goldfish are there than guppies

Answers

18 - 3 = 15 Answer =15. Use a BAR MODEL  21 divided by 7 = 3. 3x6 = 18   3x1= 3







There are 126 goldfish



What is 965,000,000,000,000 in scientific notation?

9.65×10−14
9.65×10−12
​ 9.65×1012 ​
​ 9.65×1014 ​

Answers

Answer:

9.65×10¹⁴

Step-by-step explanation:

The 9 of 9.65 has been moved 14 places to the left to get to its position in 965,000,000,000,000. That is, its value has been multiplied by 10¹⁴.

_____

If you were to write 965,000,000,000,000 in expanded form, you would write it as ...

... 9×10¹⁴ +6×10¹³ +5×10¹² +0×10¹¹ +... +0×10⁰ = 9.65×10¹⁴

The first term of this sum is a clue as to how the number is written in scientific notation,

the answer is 9.65×10¹⁴

Eva has 2 apples in her basket she eats 1 apple and gives 1 apple to her friend how many apples does Eva have now

Answers

She has zero apples now. Since there was 2 at the start, then she eats one (1 apple) then again another apple is subtracted, leaving Eva with zero apples.

A new shirt costs $14.99. If the shirt is on sale for 1/5 off its price, about how much would you save?

Answers

You would save $2.99

Work: 14.99 / 5 = 2.99

Find the parabola with equation y = ax^2 + bx whose tangent line at (2, 4) has equation y = 8x − 12.

Answers

[tex]\bf y=ax^2+bx\implies \cfrac{dy}{dx}=2ax+b[/tex]

now, we know the tangent line at (2,4) is y = 8x - 12, now, that's already in slope-intercept form, so, the slope of that tangent at (2,4) is "8" then.

now, that means when x = 2, the slope is 8, so let's use that.

[tex]\bf \left. \cfrac{dy}{dx} \right|_{x=2}\implies 2a(2)+b=\stackrel{\textit{from tangent equation}}{8}\implies 4a+b=8 \\\\\\ 4a=8-b\implies a=\cfrac{8-b}{4}\implies \boxed{a=2-\cfrac{b}{4}}\\\\ -------------------------------\\\\ \begin{cases} x=2\\ y=4\\\\ a=2-\cfrac{b}{4} \end{cases}\implies \stackrel{y = ax^2+bx}{4=\left( \boxed{2-\frac{b}{4}} \right)(2)^2+b(2)}\implies 4=8-b+2b \\\\\\ \boxed{-4=b}\qquad thus\qquad a=2-\cfrac{-4}{4}\implies \boxed{a=3}\\\\ -------------------------------\\\\ y=3x^2-4x[/tex]

We want to get a quadratic equation by knowing its tangent line at a point. Remember that the tangent line is given by the derivative of the equation.

We will find that the parabola is:

y = 3*x^2  - 4*x

We start with the tangent line:

y₂ = 8*x - 12

The slope of this tangent line is equal to the derivative of our parabola evaluated in x = 2.

Our parabola is y = a*x^2 + b*x

Derivating we get:

y' = 2*a*x + b

Then we have:

2*a*2 + b = 8

And we also know that our parabola passes through the point (2, 4), then we must have:

4 = a*2^2 + b*2

Then we have a system of equations:

2*a*2 + b = 8

4 = a*2^2 + b*2

First we can simplify the equations:

4*a + b = 8

4 = 4*a + 2*b

We can isolate 4*a in the first equation to get:

4*a = 8 - b

Now we can replace it in the second equation:

4 = (8 - b) +  2*b

4 = 8 + b

4 - 8 = b

-4 = b

Now that we know the value of b, we can use

4*a  = 8 - b

4*a = 8 + 4 = 12

a = 12/4 = 3

Then the equation of the parabola is:

y = 3*x^2  - 4*x

If you want to learn more, you can read:

https://brainly.com/question/4074088

How many times can 36 go into 83??

Answers

Only 2 times!

36*2 = 72

86-72 = 14 which is less than 36

So only 2 times.

To solve the equation t² - t = 12 by factoring, you would use

Answers

Hello,

[tex]t^2-t=12\\ t^2-t-12=0\\ t^2-4t+3t-12=0\\ t(t-4)+3(t-4)=0\\ (t-4)(t+3)=0\\ t=4\ or\ t=-3 [/tex]

what’s the y and x intercept of 4/5x-2y=3

Answers

I would first solve for y
4/5x - 2y = 3
-4/5x -4/5x
-2y = -4/5x + 3
----- -----
-2 -2
Y= -4/5x + 3
-----------
-2

Now to find the y intercept, plug 0 in for x

Y=-4/5(0) + 3
--------------
-2
This gets you 3/-2 as your y intercept

To find x intercept, plug 0 in for y

0= -4/5x + 3
----------
-2
This gets x to be 3 and 3/4


Justin is redoing his bathroom floor with tiles measuring 6in by 13 in. the floor has an area of 8,500 in². what is the least number of tiles he will need?

Answers

he will need 109 tiles
each tile is 6 in. by 13 in.....so the area of each tile is L * W = 6 * 13 = 78 in^2

the entire floor has an area of 8500 in^2

so the least number of tiles needed is : 8500/78 = 108.97.....109 tiles are needed

will give BRAINEST
Which of these statements is true for

Answers

A is correct the y intercept is (0,5)

The answer is A. If we substitute 0 for x:

5 · (6)^x
5 ·(6)^0
5 · 1
5

(0,5)

Hope this helped!

The sum of John’s and Matt’s ages is 42. The difference of their ages is 6. If Matt is older than John, what are their ages? Matt is 16 and John is 20. Matt is 30 and John is 14. Matt is 24 and John is 18.

Answers

Matt is 24 and John is 18. 24 - 18 is 6. And 24 + 18 would equal 42.
42-6=36
Now we divide this by two to make it equal
36÷2=18
Since John is younger, he is 18 years old
and Matt is 18+6=24 years old..
There you are all done.. ask me if you need any help understanding this!!

what is -4.15 as a fraction

Answers

-83/20 or -4 3/20. The first one is an improper fraction and the second on is the mixed fraction.

What is a degree plolynomial?

Answers


The degree of a polynomial is a very straightforward concept that is really not hard to understand


Definition: The degree is the term with the greatest exponent

Thirty students are eating lunch at 5 tables. Each table has the same number of students. How many students are sitting at each table

Answers

30 ÷ 5
6 students at each table

Hope this helps!
There are 6 students sitting at each table, just divide 30 by 5.

angle LMP and angle PMN are complementary. Find the value of x.

Answers

x=15

Complementary means they add to make 90 degrees.
This means 2x+4x=90

2x+4x=90
combine like terms
6x=90
divide 6 from both sides
x=15

A play was attended by 173 people. Adult tickets were $5 each and children paid $3 for each ticket the total revenue was $703. How many of each kind of ticket were sold?

Answers

the answer to this is 10545.

Answer: 81 children and 92 adults

Step-by-step explanation:

To solve the exercise, check the data we have from the question:

Total people: 173

Adult tickets price: $5

Children tickets price: $3

Total revenue: $703

We need to know how many of each kind of ticket were sold. To do so, we can show the data as two equations:

Equation 1:

[tex]TotalRevenue = Adults*5 + Children*3[/tex]

[tex]703=5a+3c[/tex]

Equation 2:

[tex]a+c=173[/tex]

Where a represents adults who attended the event and c represents children who attended the event. We can replace one of the unknown quantities following:

[tex]a=173-c[/tex]

[tex]703=5(173-c)+3c[/tex]

Solving:

[tex]703=865-5c+3c[/tex]

[tex]5c-3c=865-703[/tex]

[tex]2c=162[/tex]

[tex]c=81[/tex]

Then, we replace c on equation 2:

[tex]a=173-81[/tex]

[tex]a=92[/tex]

How many milligrams are in 5 grams

Answers

5000 milligrams are in 5 grams.
There are 5,000 milligrams in 5 grams

You bought a magazine for $6 and some notepads for $3 each. You spent a total of $18. How many notepads did you buy?

Answers

These are possible answers:

We can get 1 magazine and 4 notepads with $18 
6 + (3×4) = 6 + 12 = 18

We can get 2 magazines and 2 notepads with $18
(6 × 2) + (3 × 2) = 12 + 6 = 18


\Final answer:

To find the number of notepads bought, we can set up an equation by subtracting the cost of the magazine from the total cost and equating it to the cost of the notepads. By solving the equation, we find that you bought 4 notepads.

Explanation:

To solve this problem, we can start by setting up an equation. Let's assume the number of notepads bought is 'x'. We know the magazine cost $6, so the cost of the notepads is $18 - $6 = $12. Since each notepad costs $3, the equation becomes 3x = 12. To find the value of 'x', we can divide both sides of the equation by 3. So, x = 12/3 = 4.

Therefore, you bought 4 notepads.

Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1 3/4 hours.

Answers

multiply the 2 numbers

9 1/2 * 1 3/4 =

19/2 * 7/4 = 133/8 = 16 5/8 miles



Use the change of base formula to compute
log46

.
Round your answer to the nearest thousandth.

Answers

Log base 46 (x) = Log base 10 (x) / Log(46)

3b-12=5b-2 please answer I need for homework!!!!

Answers

3b-12=5b-2
-3b     -3b
-12=2b-2
+2       +2
-10=2b
/2   /2
b=-5

The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. Which equation represents the situation?

Answers

x=1-56 is the equation  that represents the situation

Answer:

2W²-W-28 = 0

Step-by-step explanation:

what expressions have a value of 32?

Answers

2 x 16 has the value of 32 :)
31 + 1 has a value of 32

16 x 2 has a value of 32

4² x 2 has a value of 32

hope this helps

Type the number 1340000 in scientific notation. express your answer using scientific notation.

Answers

The answer is 1.34 X 10^ 6, It is 1.36 times ten to the sixth power
Final answer:

To convert the number 1,340,000 into scientific notation, move the decimal point 6 places to the left to get 1.34, then place this as an exponent on 10 to get 1.34 x 10^6.

Explanation:

In scientific notation, large numbers are simplified by moving the decimal point to the left until we have a number between 1 and 10. We then use an exponent on 10 to indicate how many places the decimal point has been moved. If you take a look at the number 1,340,000, the decimal point is technically at the end of the number right now. In order to express this number in scientific notation, we move the decimal point 6 places to the left, which gives us 1.34. The number of places we moved the decimal point to the left becomes the exponent on 10. Therefore, 1,340,000 in scientific notation is 1.34 x 10^6.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

#SPJ6

Which function represents g(x), a reflection of f(x) =1/2(3)x across the y-axis?

Answers

g(x) = (1/2)3^-x  reflection over y axis yields (-x,y)                                            

Answer:

The required function -  [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

Step-by-step explanation:

Given : Function represents g(x), a reflection of [tex]f(x) =\frac{1}{2}(3)^x[/tex] across the y-axis

To find : Which function represents the g(x)?

Solution :

The function [tex]f(x) =\frac{1}{2}(3)^x[/tex]

The function f(x) reflected across y-axis to form g(x)

The reflection of the point (x,y) across  the y-axis is the point (-x,y).

f(x,y)→f(-x,y) , the graph of f(x) is reflected across y-axis.

Let [tex]y=\frac{1}{2}(3)^x[/tex]

After reflection across y-axis is

[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

The required function.

Refer the attached graph below.

A deck of cards is shuffled. what is the chance that the top card is the king of spades and the bottom card

Answers

After shuffling a deck of cards in order to know the probability of the king of spades being the top card, you have to first know how many cards are in the deck. If the card is a full deck with no jokers, then the probability is 1/52. This is also the probability that the bottom card is the King of spades.
Final answer:

The probability of getting the king of spades as the top card and the bottom card of a shuffled deck depends on whether the cards are picked with or without replacement.

Explanation:

The probability of getting the king of spades as the top card and the bottom card of a shuffled deck depends on whether the cards are picked with or without replacement. If the cards are picked without replacement, the probability will be different than if they are picked with replacement.

If the cards are picked without replacement, the probability of getting the king of spades as the top card is 1/52. This is because there is only one king of spades in a deck of 52 cards. After the king of spades is picked as the top card, there are 51 cards left in the deck. The probability of getting the king of spades as the bottom card is also 1/51 because there is only one king of spades left in the deck.

If the cards are picked with replacement, the probability of getting the king of spades as the top card is still 1/52, but the probability of getting the king of spades as the bottom card is also 1/52. This is because each card is put back into the deck and reshuffled before the next card is picked, so the probabilities for each card remain the same.

one hundred times the quantity seven plus nine

Answers

100(7 + 9) = 
100(16) =
1600 <=
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