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GuDViN [60]
3 years ago
10

PLZ ASAP HELP Which expression models this phrase? 6 more than the product of a number and 2 A. 2 • (n + 6) B. 6 • 2 • n C. 2n +

6 D. 6 • (n + 2)
Mathematics
1 answer:
polet [3.4K]3 years ago
6 0
6 more than means add 6. The product of 2 and N means multiply the two together.

C) 2N + 6 is the answer.

Hope this helps! :)
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Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw
eimsori [14]

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

8 0
3 years ago
What is the perimeter , in feet , of the polygon 15,22,10,18,14,5,5,16
Alinara [238K]
You just add all the sides together for perimeter
the answer is105
5 0
3 years ago
Blank - 2 1/3 = 3 1/3 please help I need to finish my homework :(
mafiozo [28]
The answer is 3 1/3 + 2 1/3 = 5 2/3
7 0
3 years ago
Read 2 more answers
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
3 years ago
Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to
Aloiza [94]

Answer:

Step-by-step explanation:

band alone 11 

choir alone 17 

band and choir alone 4 

band and math alone 7 

math and choir alone 6 

band choir and math 3 

math alone 9 from 11+4+10+6+17 + M = 57 

so 

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

5 0
3 years ago
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