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3 years ago

1. Which of the following describes the end behavior of the function ƒ(x) = x^4 + 3x^3 – 2x + 7?

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Hello, when x tends to $\infty$ the term with the highest degree will lead the behaviour.

In other words.

$\displaystyle \lim_{x\rightarrow+\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow+\infty} {x^4}\\\\=+\infty\\\\\\\displaystyle \lim_{x\rightarrow-\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow-\infty} {x^4}\\\\=+\infty$

So, the answer B is correct.

Thank you.

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Lucy is estimating the income levels of households in a specific zip code. She randomly calls 100 households and collects

Lorico [155]

The average income for the household that is surveyed should represent the sample data is not relevant.

The information that should be considered as follows:

The level of the income of the household represents the parameter of the population.
The total income for the household that is surveyed represents the statistics of the sample.
The household i.e. surveyed is relevant for the sample of the total population that lives in the zip code.

Therefore we can conclude that the average income for the household that is surveyed should represent the sample data is not relevant.

Learn more about the income here: brainly.com/question/14732695

7 0

3 years ago

A. 23.3 cm B. 16 cm C. 8 cm

Hitman42 [59]

B. 16 cm

Square both 20 and 12

20x20=400

12x12=144

400-144=256

find the square root of 256
and the square root is 16

so b is 16 cm

6 0

3 years ago

Chelsea and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon pies. Chelsea sold 7 blueb

riadik2000 [5.3K]

Answer:

The cost of 1 blueberry is $7

The cost of 1 lemon pie is $17

Step-by-step explanation:

Given as :

The number of blueberry sold by Chelsea = 7

The number of lemon pie sold by Chelsea = 10

The number of blueberry sold by Ming = 5

The number of lemon pie sold by Ming = 1

The total selling amount of Chelsea = $219

The total selling amount of Ming = $52

Let The cost of 1 blueberry = b

And The cost of 1 lemon pie = l

Now, According to question

For Chelsea

7 b + 10 l = $219 ..................1

For Ming

5 b + 1 l = $52 .................2

Solving both equations

10×(5 b + 1 l ) - (7 b + 10 l) = 10×52 - 219

Or, 50 b + 10 l - 7 b - 10 l = 520 - 219

Or, (50 b - 7 b) + (10 l - 10 l) = 301

Or, 50 b - 7 b+ 0 = 301

Or, 43 b = 301

∴ b = $\frac{301}{43}$

I.e b = $7

So, The cost of 1 blueberry = b = $7

Put the value of b in eq 2

So, 5 × 7 + 1 l = $52

or, 35 + l = $ 52

Or, l = 52 - 35

∴ l = $17

So, The cost of 1 lemon pie = l = $17

Hence The cost of 1 blueberry is $7

And The cost of 1 lemon pie is $17 Answer

4 0

3 years ago

Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)

aliya0001 [1]

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

Equation at the end of step 1

3 ${}^{2}$ x ${}^{2}$ - 1

STEP

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x ${}^{2}$ -1

Theory : A difference of two perfect squares, A ${}^{2}$ - B ${}^{2}$ can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A ${}^{2}$ - AB + BA - B2 =

A ${}^{2}$ - AB + AB - B2 =

A ${}^{2}$ - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x ${}^{2}$ is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

6 0

2 years ago

Find the slope of each line 5. y= -2x+5. 6. 3x+6y=12

Oduvanchick [21]

Answer:

5. Slope = -2x

(Full system: y = -2x + 5)

6. Slope = -1/2x

(Full system: y = -1/2 +6)

4 0

3 years ago