The number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
<h3>What is mathematical model or function?</h3>
A mathematical model or function is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.
The total number of cookies made by Tania on the Monday is 70 and want to make more than this on Tuesday.
The capacity of the pan is to cook 18 cookies per batch. The function she used to predict the number of cookies is,
y=70+18(x)
Here, x is the number of batches.
The cookies baked by her in 12 batches,
y=70+18(x)
y=70+18(12)
y=286.
Thus, the number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
Learn more about the mathematical model here;
brainly.com/question/4960142
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Answer:
7
Step-by-step explanation:
Make the fractions have a denominator of 20.
2/5 times the top and bottom by 4 (because 5 times 4 = 20) = 8/20
So 8 socks are white
1/4 times 5 = 5/20
So 5 socks are black
Add them and subtract from 20 to get the number of gray socks
20-13=7
Answer:
$32.07
Step-by-step explanation:
I am not sure - are we seeing the full information about this problem ?
because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...
either total cost means including tax or not including tax. but it cannot mean both ...
I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.
I will solve this now based on this assumption.
100% = $30.25
1% = 100%/100 = 30.25/100 = $0.3025
6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82
the total price is then calculated either by
100% + 6%
or by
106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07
in both cases we get the same result, of course.
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3
Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
Answer:
![24y^4-96y^3+133y^2-57y-10](https://tex.z-dn.net/?f=24y%5E4-96y%5E3%2B133y%5E2-57y-10)
Step-by-step explanation:
Given expression
![(-8y^2+6y-1)+(-8y^2+8y+1)(-3y^2+9y-9)](https://tex.z-dn.net/?f=%28-8y%5E2%2B6y-1%29%2B%28-8y%5E2%2B8y%2B1%29%28-3y%5E2%2B9y-9%29)
First, multiply two polynomials in brackets:
![(-8y^2+8y+1)(-3y^2+9y-9)\\ \\=24y^4-72y^3+72y^2-24y^3+72y^2-72y-3y^2+9y-9\\ \\=24y^4-96y^3+141y^2-63y-9](https://tex.z-dn.net/?f=%28-8y%5E2%2B8y%2B1%29%28-3y%5E2%2B9y-9%29%5C%5C%20%5C%5C%3D24y%5E4-72y%5E3%2B72y%5E2-24y%5E3%2B72y%5E2-72y-3y%5E2%2B9y-9%5C%5C%20%5C%5C%3D24y%5E4-96y%5E3%2B141y%5E2-63y-9)
No add two polynomials:
![-8y^2+6y-1+24y^4-96y^3+141y^2-63y-9\\ \\=24y^4-96y^3+133y^2-57y-10](https://tex.z-dn.net/?f=-8y%5E2%2B6y-1%2B24y%5E4-96y%5E3%2B141y%5E2-63y-9%5C%5C%20%5C%5C%3D24y%5E4-96y%5E3%2B133y%5E2-57y-10)