Name the property the equation illustrates.9 + (8 + 1) = (9 + 8) + 1

A) Commutative Property of Multiplication
B) Associative Property of Addition
C) Commutative Property of Addition
D) Inverse Property of Addition

Answers

Answer 1
Answer: It's B) Associative Property of Addition.
Answer 2
Answer: The answer is B, associative property of addition because this property states that you can add any numbers regardless of how they are "grouped" or restricted by parenthesis.

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Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x and select the correct answer below.A) 10.24
B) 185.78
C) 1300.48
D) 1310.72

Answers

For x = 10, f(x) = f(10) = 0.01(2)^10 = 10.24

For x = 17, f(x) = f(17) = 0.01(2)^17 = 1310.72

Now using formula for the calculation of average rate of change of f(x).

(f(b) – f(a)) / b – a = (f(17) – f(10)) / 17 – 10 = (1310.72 -10.24) / 7 = 185.78

So option “B” is correct.

Answer:

the answer is b

Step-by-step explanation:

Solve for x.
4 + 2x = 10

Answers

Answer:

The answer is 3

Hope this helps!

A flight instructor charges $50 per lesson, plus anadditional fee for the use of his plane. The charge for
the use of the plane varies directly with the square root
of the time the plane is used. If a lesson plus 16 minutes
of plane usage costs $90, what is the total amount
charged for a lesson having 36 minutes of plane usage?

Answers

The total amount charged for a lesson having 36 minutes of plane usage is $110.

Given that, a flight instructor charges $50 per lesson, plus an additional fee for the use of his plane.

The charge for the use of the plane varies directly with the square root of the time the plane is used.

x∝√y

x=k√y

Here, 90 = 50 + k√16

k = (90-50)/4

k = 40/ 4

k = 10

For 36 minutes, total charge

Total amount charged = 50 +10√36

Total amount charged = 50 + 10×6

Total amount charged = 50+60

= $110

Therefore, the total amount charged for a lesson having 36 minutes of plane usage is $110.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

410

Step-by-step explanation:

Select the correct answer from the drop-down menu.Consider the absolute value function /x)=-+2-2.
The vertex of the function is
Reset
Next

Answers

Answer:

  (-2, -2)

Step-by-step explanation:

Compare the two functions ...

  f(x) = -|x +2| -2

  f(x) = a·g(x -h) +k

where f(x) is a translation and scaling of function g(x). Here, you have ...

  g(x) = |x|

The scale factor is a = -1.

The horizontal shift is h = -2.

The vertical shift is k = -2.

_____

The original vertex at (0, 0) has been shifted by (h, k) to ...

  (0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

I took a test and got it right

Simplify.5y(4x - 3z)

20xy - 3z
4x - 15yz
20xy - 15yz
54xy - 53yz

Answers

Answer:

20xy-15yz

Step-by-step explanation:

There are nine balls. One is slightly lighter than the rest; the difference is small enough that you can't tell just by picking them up. Using a basic two-sided scale, what's the minimum number of times you'd need to weigh balls to guarantee you find the light one?

Answers

You will need to weight those balls only twice.You weight 6 balls, 3 on one side of weight and 3 on another, and other3 balls you have are in your hand.

Check picture bellow

just my thoughts:
this is assuming the rest of the balls are of equal weight.
put 4 and 4 on either side of the scale, if by some chance they end up equal then that means the one ball not on the scale is the lighter. (can switch out with another ball to confirm) and that will be 2 weighs by just luck.
systematically, the more likely case is that the lighter ball will be in the 8 you put on the scale, and it's lightness will cause one side to be higher. this means that the lighter ball is on the higher side.
then take the four balls from the higher side and put two and two back on the scale. again higher sides means lighter. then take those two and put one and one. you will then find the lightest ball.
this method will take 3 weighs