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3 years ago

1) Determine the GCF and 2) write the expression in factored form. (6x2 + 4x) + (4x2 – 8x)

Mathematics

1 answer:

Nady [450]3 years ago

4 0

Hey there,

The first step in solving this problem would have to be to add the two binomials together:

10x² - 4x

Knowing this now we find the GCF which would have to be 2x which goes into both terms.

The factored form would have to be 2x(5x - 2).

The GCF is 2x and the factored form is 2x(5x - 2).

Hope I helped,

Amna

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Answer:

Henry will get $15.77 back.

Step-by-step explanation:

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Multiply. 12x^4(−5/6 x^3 y^2)

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the answer is 10x^7y^2

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1/3k+80=1/2k+120 what does k equal?

LenaWriter [7]

Answer:

k = -1/240

Step-by-step explanation:

to evaluate the value of k in the expression 1/3k+80=1/2k+120

we have

1/3k+80=1/2k+120

collect the like terms for easy evaluation

1/3k - 1/2k = 120 -80

1/3k - 1/2k = 40

find the lcm

2 - 3/6k = 40

-1/ 6k = 40

cross multiply

6k x 40 = -1

240k = -1

divide both sides by 240

240k/240 = -1/ 240

k = -1/240

therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240

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3 years ago

A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13

saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}$

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

$Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28$

So, Mean = 6.28

2) Median

The formula used to calculate median is: $Median=\frac{n+1}{2}\:th\: term$ because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

$Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term$

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: $Range=Maximum\:Value-Minimum\:Value$

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

$Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6$

So, Range = 6

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3 years ago

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