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Alina [70]
3 years ago
12

Please explain (picture attached)

Mathematics
1 answer:
Dafna1 [17]3 years ago
6 0

Answer:

I think the answer is C.

Step-by-step explanation:

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You are planning to make an open rectangular box from a 25​-in.-by-49​-in. piece of cardboard by cutting congruent squares from
Darya [45]

Answer:

The dimensions of the box are 38.48 x 14.48 x 5.26 in.

Step-by-step explanation:

We will have a piece of cardboard with squares of side x cut from the corners to make a open box.

The volume of the box can be written as:

V=A\cdot B\cdot x\\\\V=(49-2x)\cdot (25-2x)\cdot x\\\\V=x\cdot (4x^2-2x*(49+25)+49*25)\\\\V=4x^3-148x^2+1225x

To calculate the maximum volume, we derive and equal to zero

dV/dx=12x^2-296x+1225=0

We apply the quadratic equation to know the roots of the equation

x=\frac{-b\pm\sqrt{b^24ac}}{2a}\\\\x=\frac{296\pm\sqrt{296^2-4*12*1225}}{2*12}  =\frac{296\pm\sqrt{87616-58800}}{24}= \frac{296\pm\sqrt{28816}}{24}\\\\x=\frac{296\pm169.75}{24}= 12.333\pm7.073\\\\\\x_1=12.333+7.073=19.406\\\\x_2=12.333-7.073=5.26

The first solution is physically impossible, as the side that is cut would be bigger than 25.

So the real solution is for x=5.26 in.

Then, the dimensions of the box are:

A=49-2x=49-2*5.26=49-10.52=38.48\\\\B=25-2x=25-10.52=14.48

8 0
3 years ago
Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
Ivenika [448]

ANSWER

c. 6x^2 + 2x + 8, quadratic trinomial

EXPLANATION

The given polynomial is

8 - 4 {x}^{2}  + 10 {x}^{2}  + 2x

We regroup the terms to get;

10  {x}^{2}  - 4 {x}^{2}  + 2x + 8

Simplify now to obtain:

6 {x}^{2}  + 2x + 8

This is a quadratic polynomial function based on the degree.

It is also a trinomial based on the number of terms.

The correct answer is C

5 0
3 years ago
Read 2 more answers
What is the answer to this question?
slavikrds [6]

Answer:  inscribed angle

Step-by-step explanation:  

inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

6 0
3 years ago
As infants grow from a toddler to a young adult, there may be times when they are ill and medication is needed. It is extremely
Alex17521 [72]

Answer:

Each age is 12 more than the last so the rate of change would be twelve.

Yes it is linear, every twelve pounds is 2.5 more millimeters of dosage.

7 0
3 years ago
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“which expression is the factored form of x^2-7x+10?”
mafiozo [28]
(X-5)(x-2) here you go
4 0
3 years ago
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