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Alex73 [517]
3 years ago
15

A number is 2 tens more than 993. What is the number?

Mathematics
2 answers:
Helga [31]3 years ago
6 0

Answer:

1,013

Step-by-step explanation:

993 + 20

Effectus [21]3 years ago
4 0

Answer:

1013

Step-by-step explanation:

993 + 10 + 10.

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Help me please this will help my grade !
Leni [432]

Answer:

Point D

Step-by-step explanation:

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3 years ago
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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
What are both of the blanks?? Y= [ ]x+ [ ]
vitfil [10]
Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
7 0
3 years ago
HELPPPPPPPPP PLEASE!!! :(
erastovalidia [21]

Answer:

x = 25

Step-by-step explanation:

Given:

  • ∠A = ∠B    (Vertically opposite angles)
  • ∠A = (7x - 8)°
  • ∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

\implies (7x - 8)= (6x + 17)

Open the parenthesis:

\implies 7x - 8= 6x + 17

Add 8 both sides:

\implies 7x - 8 + 8= 6x + 17 + 8

Simplify both sides:

\implies 7x = 6x + 25

Subtract 6x both sides:

\implies 7x - 6x = 6x - 6x + 25

Simplify both sides:

\implies x = 25

7 0
2 years ago
Read 2 more answers
Solve for X.<br> (Picture)
Ahat [919]

-2(7-4x)=\dfrac{1}{2}(4+16x)\qquad\text{use distributive property}\\\\(-2)(7)+(-2)(-4x)=\left(\dfrac{1}{2}\right)(4)+\left(\dfrac{1}{2}\right)(16x)\\\\-14+8x=2+8x\qquad\text{subtract 8x from both sides}\\\\-14=2\qquad FALSE!!!\\\\Answer:\ \boxed{no\ solution}

6 0
3 years ago
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