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Akimi4 [234]
3 years ago
14

What is the end behavior for f(x)=4x^4+2x^3-13x^2-14x+24?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

Step-by-step explanation:

Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

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Sandy evaluated the expression below
andre [41]

Answer:

Sandy should have evaluated (-2)³ as -8

Step-by-step explanation:

(-2)³ (6 - 3) - 5(2 + 3) = -8 · 3 - 5 · 5 = - 24 - 25 = - 49

Because:

(-2) · (-2) · (-2) = 4 · (-2) = - 8

God with you!!!

8 0
3 years ago
Read 2 more answers
JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
WOULD YOU RATHER...
8090 [49]

Answer:

0.015 km/s

Step-by-step explanation:

40 km/hr

0.015 km/s

0.015 ÷ (1/3600)

0.015 × 3600

= 54 km/hr

7 0
2 years ago
Read 2 more answers
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
marshall27 [118]

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

5 0
2 years ago
In Cos A = 0.4 Find The Value Of Cos 3 A.<br><br><br><br>Thenku ☃️<img src="https://tex.z-dn.net/?f=%20%5C%3A%20%5C%3A%20" id="T
s2008m [1.1K]
Answer:
- 0.944

Step-by-step explanation:
We know that,
cos 3A = 4 cos³A - 3 cos A (formula)

So,
If cos A = 0.4,

cos 3A = 4 cos³A - 3 cos A
cos 3A = 4 × (0.4)³ - 3 × (0.4)
cos 3A = 4 × 0.064 - 1.2
cos 3A = - 0.944


Hope it helps ⚜




3 0
2 years ago
Read 2 more answers
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