3 years ago

How many solutions does this system of equations have?

1 answer:

8 0

Correct! This one is 'none' because the lines are parallel. Also, they have the same slope and y-intercept, but they differ after the equal sign, which means that their would be NO solutions to this.

Answer: None

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Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

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2 years ago

Yesterday,Annie walked 9/10 mile to her friend's house.Together,they walked 1/3 mile to the library.Which is the best estimate f

Elina [12.6K]

To solve, you need to find the least common multiple of the denominator.

In this case, its 30.

3*9= 27/30

1*10 = 10/30

She walked 37/30 miles or 1 mile and 7/30th of a mile

3 0

3 years ago

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What is the recursive formula for this arithmetic sequence? -16,-7,2,11...

bogdanovich [222]

F(n)=-16
f(n)=f(n-1)+9

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3 years ago

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Mary had 74 dollars to spend on 7 books after buying them she had 11 dollars how much did each book cost

Minchanka [31]

Answer: Each book costs $9