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Over [174]
3 years ago
11

If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.

Mathematics
1 answer:
olganol [36]3 years ago
5 0

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

Then,

5/3 = 1 remainder 2

Substitute k into the equation

n = k(k + 7)

n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

Therefore, the answer to both questions is Yes.

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Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from
monitta

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

7 0
3 years ago
A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n
andriy [413]

Answer:

C(x) = \$3.50(\frac{x^2+7200}{x})

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

or

B = \frac{3600}{x} feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

or

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = \$3.50(x+2\times\frac{3600}{x})

or

C(x) = \$3.50(\frac{x^2+7200}{x})

4 0
3 years ago
Find the equation of the line using y=mx+b form thank you :)
Yuri [45]
The answer to the question

3 0
3 years ago
Translate (5, 1) to the right 3 units.
Sergio [31]

Answer:

Step-by-step explanation:

Answer

When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right.  So when you go right 3 units, add 3 to the 5.

(5 + 3,1) = (8,1)

when going across the y axis, you are still only changing the x coordinate.

All you need do is put a minus sign in front of the  x coordinate. So your final answer is (-8,1)

5 0
1 year ago
Can someone help me with this please
pochemuha

Answer: No

Step-by-step explanation:

What we have to do is to substitute the values of x and y that we are given into the inequality:

x = 8

y = 7

y > 4x - 6

7 > 4(8) - 6

7 > 32 - 6

7 > 26

This is not true so it isn't a solution

3 0
3 years ago
Read 2 more answers
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