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marissa [1.9K]
3 years ago
6

Y = 1/3x + 6 What is the slope-intercept equation

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

The slope-intercept is (0, 6).

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Taylor and her children went into a movie theater and she bought $81 worth of bags of popcorn and candies. Each bag of popcorn c
lys-0071 [83]

Taylor and her children bought 4 bags of popcorn and 6 candies.

How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.

Let the number of bags of popcorn be = x
Let the number of candies be = y
Given, she bought $ 81 worth of bags of popcorn and candies.
Also, each bag of popcorn costs $9 and each candy costs $4.50.
Thus, the equation for the same is ⇒ 9x + 4.50y = 81  -- (i)
Again, she bought 6 more candies than bags of popcorn.
Thus, the equation for the same is ⇒ y = x + 6  --(ii)
Using (i) and (ii), we have,
9x + 4.50(x + 6) = 81 ⇒ 9x + 4.50x + 27 = 81 ⇒ 13.50x = 54 ⇒ x = 4
Using x = 4 and (ii), we get,
y = x + 6 = 4 + 6 = 10
Thus, (4, 10) is the point where the two equations meet.
Therefore, they bought 4 bags of popcorn and 6 candies.

To learn more about this, tap on the link below:
brainly.com/question/25858757

#SPJ9

7 0
2 years ago
Find a solution to dA/dt=-6A if A(0)=6. A(t)=
Delicious77 [7]

This equation is separable,

\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt

Integrate both sides and solve for A :

\displaystyle \int \frac{dA}A = -6 \int dt

\ln|A| = -6t + C

e^{\ln|A|} + e^{-6t+C}

\implies A(t) = Ce^{-6t}

Solve for C using the initial value.

A(0) = 6 \implies 6 = Ce^0 \implies C=6

Then the particular solution is

\boxed{A(t) = 6e^{-6t}}

8 0
2 years ago
What is 3/4 of a 2 liter bottle in millimeters
shutvik [7]
I believe you meant milliliters.  If so the answer is 1500ml

2 liters = 2000ml

2000/4 = 500 for 1/4

We need 3/4 so we multiply 500 X 3 and get 1500ml
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-5x-24%3D0" id="TexFormula1" title="x^{2}-5x-24=0" alt="x^{2}-5x-24=0" align="absmi
xeze [42]

Answer:

x= 8, 3

Step-by-Step Explanation:

x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8

x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3

5 0
3 years ago
How can 5 people share 4 cookies equally?
Volgvan
By giving each person a fraction of a cookie.

4÷5 = 0.80

If ya give 'em 0.80 th of a cookie, it'll be equal!

Thank you ;)
4 0
3 years ago
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