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4 years ago

When adding two fractions do i leave the denominator how it is?

Mathematics

1 answer:

telo118 [61]4 years ago

7 0

Hoi!

If the two fractions have a common denominator, then yes, you do. Only add the numerators. :)

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The relationship between two numbers is described below, where x represents the first number and y represents the second number.

Daniel [21]

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

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3 years ago

How can i simplify 8/9

Pachacha [2.7K]

Answer: 8/9

Step-by-step explanation:

8/9 cannot be simplified. It's already in simplest form. if you want to turn it into decimal the answer will be .8 (bar notation above 8)

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3 years ago

Use Cramer’s Rule to solve system of equation.

alisha [4.7K]

$\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108$

$W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6$

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3 years ago

Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.

Ksju [112]

Answer:

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

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2 years ago

Which of the following numbers is closest to 7?

Sphinxa [80]

Answer:

B. √50

Step-by-step explanation:

$7^{2}$ is 49 so √49 is 7

So,

since the <u>closest number to 49 is 50</u>, that is the answer.

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3 years ago