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Luba_88 [7]
2 years ago
15

Solve for n: 1/4 (n-2)=1/4n-1/2

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer:

See below:

Step-by-step explanation:

So, we start off with the equation: \frac{1}{4} (n-2) = \frac{1}{4}n-\frac{1}{2}

If we simplify, we can use the distrubutive property to simplify the equation:

Here is how it goes:

\frac{1}{4} (n-2) = (\frac{1}{4} * n )+(\frac{1}{4}*-2)

So upon simplification of that, we get here: \frac{1}{4}n + -\frac{1}{2}= \frac{1}{4}n-\frac{1}{2}

Hm, somethings off, do you see that they are the same thing...

So, that means that there would be infinately many solutions.

You can plugin any number and you would get the same result!

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Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.
MariettaO [177]

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

7 0
3 years ago
Describe the roots of the equation shown below.
svp [43]
<span>10 +- sqrt( 100 + 60 ) / 6
 A is the correct answer</span>
4 0
3 years ago
What is the linear function equation that best fits the data set?
slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

8 0
3 years ago
What is the slope of this table?
suter [353]

Answer:y=7x

Explanation:The 1/7 is the slope

4 0
4 years ago
Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, her
FrozenT [24]
The exponential model would take the form: 
y=Ae^{kt}&#10;
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
8 = 2e^{k*3}
k =  \frac{ln(4)}{3}

Now, plugging in 6 days:
y = 2e^{ \frac{ln(4)}{3}*6}
y = 32

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps. 
8 0
3 years ago
Read 2 more answers
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