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Ivenika [448]
1 year ago
10

What value of n makes the statement true? 6xn · 4x2 = 24x6

Mathematics
2 answers:
Rom4ik [11]1 year ago
8 0
We check first the numerical coefficients of both sides of the equation if they match if we perform the operation.
                        (6)(4) = 24
Then, the variables. For multiplication with the same variables, the exponents are added. In the given above,
                                 n + 2 = 6
The value of n should be 4. 
snow_tiger [21]1 year ago
6 0

Answer:

n = 4

Explanation :

1. You have the following expression given in the problem above:

(6x^n)(4x^2)=24x^6

2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is , therefore, you must sum the exponents.

3. The result of the sum is 6, therefore,  must be 4:

(6x^4)(4x^2)=24x^6

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8 0
1 year ago
in 2016 the average Raleigh driver spent 18 hours in traffic jams, which accounted for 6% of their total driving time. How many
castortr0y [4]

Answer: 300 hrs

The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Step-by-step explanation:

Given that;

Raleigh driver spent 18 hours in traffic jams

And it accounts for 6% of their total driving time

Now

let total driving time be = x hrs

so

6% of total driving time = 18 hrs

6/100 × x = 18hrs

6x = 1800 hrs

x = 1800/6

x = 300 hrs

∴ The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

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2 years ago
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ivann1987 [24]
The answer is $58.32
8 0
1 year ago
Read 2 more answers
Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy. Which of the following is a justification for Step 3 of her
vodka [1.7K]

Solution:

we are given that

Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy.

we have been asked to find

Which of the following is a justification for Step 3 of her proof?

Step 3 of her proof is

Step 3: (x^2 + xy + xy + y^2) - (x^2 - xy - xy + y^2) = (x^2 + 2xy + y2) - (x^2 - 2xy + y^2)

As we can observe inside each of the paranthesis only like terms have been added. It mean the required justification is

C. Combining like terms

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2 years ago
the parent function f(x) = x^3 and a translation, g(x), are shown on the graph. which represents g(x), the translated function?
tangare [24]

y=f(x)+g(x))

y=x³+g(x)

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1 year ago
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