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3 years ago

How do I do simplify this

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

-3x^2y^3 . -3xy = 9x^3y^4

-4x^2y^-2 , 2x^4y^4 = - 8x^6y^2

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Find y by itself 7y=14x-21

vlada-n [284]

Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

7y/7=(14x-21)/7

y=2x-3

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3 years ago

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On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawn

alukav5142 [94]

Answer:

13 1/2 this is the answer

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2 years ago

What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

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3 years ago

Find the value of PT PT = 5x + 3 and TQ 7x - 9

77julia77 [94]

Is there anything more to this question? Like are PT and TQ equal?

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3 years ago

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Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a Star

sasho [114]

Answer:

(A) a=1,b=5,c=9

Step-by-step explanation:

We want to simplify $3\frac{1}{2} \div 2\frac{1}{4}$ for values of a, b and c which satisfies: $a\dfrac{b}{c}$

$3\dfrac{1}{2} \div 2\dfrac{1}{4}\\\text{Changing each fraction to improper fraction}\\=\dfrac{7}{2}\div \dfrac{9}{4}\\\text{Next, we change the division sign to multiplication by taking reciprocal of the second fraction}\\=\dfrac{7}{2}X \frac{4}{9}\\=\dfrac{7X4}{2X9}\\=\dfrac{28}{18}\\$ Converting our result to mixed fraction

$\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9$

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3 years ago

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