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3 years ago

Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.

Mathematics

1 answer:

Contact [7]3 years ago

6 0

Answer:

Step-by-step explanation:

the 1st and 2nd b/c they are both square the input number

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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

7 0

2 years ago

Which two numbers have a mean of 10 and a range of 4?

Gemiola [76]

the answer would be 12 and 8

5 0

3 years ago

Which of these values is the farthest from zero? 0.75,0.25, 2/3, 7/8

prohojiy [21]

Answer:

7/8

Step-by-step explanation:

numbers in ascending order

0, 0.25, 2/3, 0.75, 7/8

8 0

3 years ago

Give the slope and the y-intercept of the line y = − 8 x + 10 . Make sure the y-intercept is written as an ordered pair.

nadezda [96]

Y=mx+b is slope-intercept form. M is the slope so the slope would be -8. B in the y-intercept which is 10. The y-intercept is where your line crosses the y-axis, so the x-coordinate is 0. The ordered pair is (0, 10).

7 0

3 years ago

PLEASE HELP ME, WILL AWARD MEDAL

Svetach [21]

Hello,

$\sqrt{2x+4}- \sqrt{x} =2\\
==\ \textgreater \ \sqrt{2x+4}=2+ \sqrt{x}\\
==\ \textgreater \ 2x+4=4+4 \sqrt{x} +x \\
==\ \textgreater \ x=4 \sqrt{x} \\
==\ \textgreater \ x^2=16*x\\
==\ \textgreater \ x^2-16x=0\\
==\ \textgreater \ x(x-16)=0\\
==\ \textgreater \ x=0 \ or \ x=16\\
Answer B

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4 0

3 years ago

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