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3 years ago

9x-3+10-5x=9x-5x-3+10 the question is: list which of the associative and commutative properties are being used

Mathematics

1 answer:

Nataliya [291]3 years ago

4 0

The given equation is:

9x-3+10-5x = 9x-5x-3+10

1. Associative property of addition: when three or more numbers are added the sum is same regardless of the grouping of the numbers.

(9x -5x) + (10-3) = (9x -5x) + (10-3)

2. Commutative property of addition: This property states that the numbers can be added in any order without changing the resulting answer/ sum.

9x-3+10-5x= -3+10+9x-5x

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The pair of points lies on the same line with the given slope. Find x

Troyanec [42]

Answer:

x = 7

Step-by-step explanation:

The point-slope equation of the line is ...

y -(-13) = -3(x -3)

Substituting -25 for y, we can solve for x:

-25 +13 = -3x +9

-21 = -3x . . . . add -9

7 = x . . . . . . . divide by -3

7 0

3 years ago

Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th

timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

$E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500$

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

$E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56$

The percentage reduction on the claim payment is:

$P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%$

There was a 35.35% reduction.

8 0

3 years ago

I’ll mark you brainlist I’ll mark you brainlist

user100 [1]

Answer:

Undefined

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What are the vertex and the axis of symmetry of the equation? Y=-2^2+8x-18

Nimfa-mama [501]

Y = -2x² + 8x - 18

x = -b/2a
x = -8/2(-2)
x = -8/-4
x = 2

y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18
y = -2(4) + 16 - 18
y = -8 - 2
y = -10

(x, y) = (2, -10)

Vertex: (2, -10)
Axis of Symmetry: x = 2

5 0

4 years ago

Read 2 more answers

Explain how to write 3 X3/8 as the product of a whole number and a unit fraction

mars1129 [50]

A unit fraction means that the fraction has 1 in the numerator. To make 3/8 a unit fraction, you have to make it 1/8 by dividing by 3.

So now you have 3 x 3 x 1/8. You can multiply the 3 and 3.

You are left with 9 x 1/8.

6 0

3 years ago