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Greeley [361]
3 years ago
10

What is the end behavior of f(x)=4x^4-3x^2?

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

as x→∞, y→∞

as x→-∞, y→∞

Step-by-step explanation:

To tell what the end-behavior is, look at the x with highest exponent value in the function.

f(x) = 4x⁴ - 3x²

The highest power is x⁴.

Our highest exponent value is 4.

If the highest power is an even number, the end behavior is:

  as x→∞, y→∞

  as x→-∞, y→∞

this is always true. It's part of the rule for end-behavior.

The end behavior graph for an even power will look like the graph for x².

This is also always true. It will always look like this if the highest power is an even number.

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Mr. Notardonato is going to run a half marathon, which is 13.1 miles. How many inches are in 13.1 miles? (
lakkis [162]

Answer:

830,016 inches

Step-by-step explanation:

this is how many inches

3 0
3 years ago
sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam?
Ksenya-84 [330]

Answer: She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used \frac{3}{4} pound of blueberries to make \frac{1}{2} cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

\text{For }\frac{1}{2}\text{ cup of jam},\\\\\text{ she need }\frac{3}{4}\text{ pound of blueberries }\\\\\text{ For 1 cup of jam}.\\\\\text{She need }=\frac{3}{4}\times 2=\frac{3}{2}=1\frac{1}{2}\text{ pounds of blueberries }

Hence, She needed 1\frac{1}{2}\text{ pounds of blueberries} to make a cup of jam .

4 0
3 years ago
In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i
PilotLPTM [1.2K]
Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,


was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
\\\\\\
-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}

when will it reach the ground level? let's set s(t) = 0

\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
\\\\\\
25=t^2\implies \boxed{5=t}


part B)  check the picture below

5 0
3 years ago
100 POINTS PLEAS please help
Kamila [148]

Answer:

\textsf{A)} \quad 5u^3-2u^2+5u+8

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Given expression:

(-2u^3+5u-1)+(7u^3-2u^2+9)

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\implies -2u^3+5u-1+7u^3-2u^2+9

Collect like terms:

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Combine like terms:

\implies 5u^3-2u^2+5u+8

6 0
2 years ago
Read 2 more answers
What is the percent or change-----$84 to 12%
zubka84 [21]
<span>$84 to 12%
</span>10.08
 is the answer
6 0
3 years ago
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