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WITCHER [35]
3 years ago
9

What is the solution to the system of equations below?2x+3y = 173x+6y= 30​

Mathematics
2 answers:
brilliants [131]3 years ago
5 0

Answer:

<h2>x = 4, y = 3 → (4, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=17&\text{multiply both sides by (-2)}\\3x+6y=30\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-4x-6y=-34\\3x+6y=30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\qquad\text{change the signs}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\2(4)+3y=17\\8+3y=17\qquad\text{subtract 8 from both sides}\\3y=9\qquad\text{divide both sides by 3}\\y=3

Marysya12 [62]3 years ago
4 0

Answer: C

Step-by-step explanation:

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3 years ago
The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
A survey of 260 families show that 99 had dog 76 had cat 34 had dog and cat 98 had neither a cat nor a dog nor a parakeet 8 had
Archy [21]

Answer:

<u>Option D. 21</u>

Step-by-step explanation:

The question is as shown in the attached figure 1

The Venn diagram representing the problem is the attached figure 2

D ⇒ Dog , C⇒ Cat  and P ⇒ parakeet

Let the The families had parakeet only = X

A survey of 260 families show that:

99 had dog

76 had cat

34 had dog and cat

98 had neither a cat nor a dog nor a parakeet

8 had a cat a dog and a parakeet

So,

The families had a dog and a cat only = 34 - 8 = 26

The families had a dog only = 99 - (26 + 8 ) = 65

The families had a cat only = 76 - (26 + 8) = 42

∴ X = 260 - ( 98 + 8 + 26 + 65 + 42 ) = 260 - 239 = 21

So, The families had a parakeet only = 21

<u>The answer is option D</u>

5 0
3 years ago
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