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vampirchik [111]
3 years ago
6

We get the same result if we multiply a number by 4 or if we multiply the number by 7 and then add 9

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0
No we don’t say you multiply 4 and 6 you get 24 then add 9 you get 33 and then say you multiply 7 and 3 which is 21 then you add 9 you get 30 so you wouldn’t get the same results
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after 20 minutes he is on page 151, after 45 minutes he was on page 181. how many pages had clint read prior to study hall
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6 0
2 years ago
Is (5, 4) a solution to this system of equations?<br> 2x + 3y = 23 <br> y + x = 9
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6 0
3 years ago
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
Angelina_Jolie [31]

Answer:

B. 50.24ft

Step-by-step explanation:

A=(pie)r^2

A=3.14(4)^2

A=3.14 * 16

A=50.27

Closest to 50.24

6 0
3 years ago
What dimensions of the box maximize the volume of the​ box?<br><br> please help thank you so much!
bonufazy [111]

so, let's recall that the volume of a rectangular prism, namely a box, is Lwh, just the product of its dimensions, length, width and height.

now, check the 1st picture below. we know the original paperboard is a 16x14, so the width, as you see in the picture is w = 8 - x, its length is L = x, and its height is 14 -(x/2) - (x/2).


\bf V(x)=\stackrel{L}{(x)}\stackrel{w}{(8-x)}\stackrel{h}{\left( 14-\cfrac{x}{2}-\cfrac{x}{2} \right)}\implies V(x)=(8x-x^2)(14-x) \\\\\\ V(x)=112x-8x^2-14x^2+x^3\implies V(x)=x^3-22x^2+112x


now, let's find the critical points, by setting the derivative to 0, and then we'll do a first-derivative test.


\bf \cfrac{dV}{dx}=3x^2-44x+112\implies 0=3x^2-44x+112 \\\\\\ \textit{plugging those values in the quadratic formula}\qquad x\approx \begin{cases} 11.39\\ 3.28 \end{cases}

now, if we plot those two points, we get 3 regions, and then we check each of those regions to see what's the value of the first derivative.

check the 2nd picture below, that'd be the first derivative test, as you can see from the arrows, the slope increases and then decreases at 3.28, namely that critical point is the maximum, so the Volume maximizes at x = 3.28.

6 0
2 years ago
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