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hoa [83]
4 years ago
15

True or False? For any integer m, 6m(2m + 10) is divisible by 4. Explain

Mathematics
2 answers:
scoray [572]4 years ago
8 0

Answer:

True

Step-by-step explanation:

6m (2m + 10)

= (6m)(2m) + (6m)(10)

= 12m² + 60m

= 4(3m² + 15m)

Because we factored out a "4" in the expression, by observation, we can see that regardless of what value of integer m is chosen, the entire expression is divisible by the "4" which has been factored out of the parentheses. Hence it is True.

Kruka [31]4 years ago
3 0

Answer:

Yes it is!

Step-by-step explanation:

6m(2m+10) / 4

 

= 2(3m)(2)(m+5)/4

 

= 4(3m)(m+5)/4

 

= (3m)(m+5)

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I need help With Math Exponents (click for picture )
Murljashka [212]

Answer

25. 9^3,    729

26. 2^6,    64

27. 1^8,     1

28. 5^4,   625

29. 7^6,   1117,649

5 0
3 years ago
How many real-number solutions does the equation have?
Alexxx [7]
I believe the correct answer would be that it has one solution which is 5. Calculating x for the quadratic equation, you will only get one value so it should be one solution. Hope this answers the question. Have a nice day.
8 0
3 years ago
Read 2 more answers
How can i find The function of f(x) = 150 (1.3)^t
natka813 [3]

Answer:

See below.

Step-by-step explanation:

In comments, you said you wanted it graphed.

If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.

But, in an effort to try and help you ....

With the data you have given, I would graph it just like y = 150 (1.3)^x

You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.

If x = 0, y= 150(1.3)^0 = 150(1) = 150  because anything to power zero is 1

If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7

If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195

And so on.

I did the graph on DESMOS and it has a very large scale.

4 0
3 years ago
Find the circumference of this circle using 3 for
Andreyy89

Answer:

18.85 I think

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The weights and heights of six mathematics students are given in the following table:
Verizon [17]

Answer:

c.  Weight is input, height is output

Step-by-step explanation:

It is given here that "Height is a function of Weight".

which means

Height = f(Weight)

Thus, value of Height is depend on the value of Weight.

Thus, Weight is input variable and Height is output variable.

Hence option (c) is correct.

Further,

The variable that we can change is called the Input variable.

 The Output variable depends upon the input variable, as we change the value of the input variable the value of the output variable is also get changed.

4 0
3 years ago
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