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Sliva [168]
3 years ago
7

Please help, see attachment

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

The length of DB is 8

Step-by-step explanation:

I know it doesn't look EXACTLY like the one in the diagram but I just followed the measurements provided

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Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

\frac{d}{dx}\cdot f(x)

Now the sum of the 2 functions is shown below

y=f(x)+g(x)

Diffrentiating both sides with respect to 'x' we get

\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

\frac{dy}{dx}

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0
3 years ago
On the blueprint of a house, 36 millimeters represents 7 meters. The length of the living room is 27 millimeters on the blueprin
S_A_V [24]
36/27=1.3
7x1.3=9.1
The actual length is 9.1meters
7 0
3 years ago
Which of the following is a trinomial?
Sedaia [141]

Answer:

A) c^2 + c + 6

Step-by-step explanation:

We have been given four choices out of which we need to select the choice which is trinomial.

Trinomial means polynomial having three terms.

A) c2 + c + 6

It has 3 terms.

B) c2 − 16

It has 2 terms.

C) −8c

It has 1 term.

D) c3 + 4c2 − 12c + 7

It has 4 terms.

We see that only choice A) has three terms.

Hence correct choice is A) c^2 + c + 6


5 0
3 years ago
Need help thank you.
madam [21]

Answer:

x = 20

Step-by-step explanation:

The three angles make up a straight line.

A straight line has 180 degrees.

x + 3x + 100 = x80          Combine

4x  +  100 = 180               Subtract 100 from both sides

4x = 180 - 100

4x  = 80                           Divide by 4

x = 80/4

x = 20

8 0
2 years ago
X+0.5y=1.5 solve for y
lakkis [162]

Answer:

Y = 3 - 2x

Step-by-step explanation:

6 0
2 years ago
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