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Consider f (x) = StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of f(x)? Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 1 Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 1. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 0. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 7. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 x squared Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → ∞.

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

For this case, the given quadratic expression is:

[tex]4x^2 + 28x + 49[/tex]

So we've to find two numbers such that:

Their sum = b =  28

Their product = [tex]ac = 4\times 49 = 196[/tex]

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

[tex]4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)[/tex]

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

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Area of bottom rectangle:-

Area of rectangle above it:-

Area of rectangle above it

Area of triangle:-

Total:-

Answer:

A. ZA+ZB =180

B. ZA is 135 and ZB is 45

Step-by-step explanation:

Step-by-step explanation:since ZA and ZB are supplementary

ZA+Zb =180°

But ZA=3ZB

∴ 3ZB+ZB=180° ⇒4ZB=180°

∴ZB =45

Answer:

40 cm

Step-by-step explanation:

10cm*4cm=40cm

Answer:

87.92

In this case we're trying to find circumference

Formula: c = pi×d

The problem says to use 3.14 for pi

c = 3.14 × 28 = 87.92

Answer:

sum of interior angles is 1440

Step-by-step explanation:

sum=(n-2)180

=(10-2)180

=8*180=1440

Answer:

Step-by-step explanation:

open the page below

Answer:

please read through the ten symbols of logic mathematics

Step-by-step explanation:

Do you mean 8 times what is 56?

8×7 is 56

Answer:

LOL I ha te when that happens. I got you, I had the same issue

Step-by-step explanation:

Your answer is 44°

Your work

Type this:

27=98-x/2

54=98-x

x=44

Check the picture below.

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

Answer:

Question 1 is statistical.

Question 2 is not statistical

Statistical means there will most likely be different answers, especially when it is being asked to several people. If it is a certain number for the answer it is considered not statistical.

Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

[tex]( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 [/tex]

Answer:

add 36

Step-by-step explanation:

Step-by-step explanation:

q1) if aₙ=-11+7n, then for n=5

a₅=-11+7*5=24.

q2) if aₙ=65-100n, then for n=39

a₃₉=65-100*39= -3835.

Answer:

2 out of 3

ads asdf sad f ads f sad

Answer:

490.1 (If the radius is 6ft and height is 7ft)

571.8 (If the radius is 7ft and height is 6ft)

Step-by-step explanation:

A=2πrh+2πr2

Plug in the value for the radius and height. Then solve.

Answer:

12 divided by 1/9 is 1/108. In multiplication, its 1/108 * 12

Step-by-step explanation:

its lang allam ko. human is rescures till hitman

Answer: $6.75

Step-by-step explanation:

Popcorn95 × 0.75 = 71.25

Candy35 × 1.20 =42

Totally 113.25

Deduct from 120

Drinks6.75

Answer:

Distance formula. The formula for distance, if you know time (duration) and the average speed, is: d = v x t. where v is the velocity (average speed), t is the time and d is distance, so you can read it as Distance = Speed x Time. The result will depend on the unit of the speed metric, for example if speed is given in mph,

Step-by-step explanation:

A (m 1 ,n 1) and B (m 2 ,n 2) are the coordinates of the two given points in the coordinate plane.

The distance between the two points can be calculated using the distance formula, d = √ (m2 - m1)2 + (n2 - n1)2

Finally, express the given solution in proper units.

Answer:

x=23 degrees

Step-by-step explanation:

(the box in the corner is 90 degrees)

180 the 3 sides on the triangle add up to be 180

180=90+66+x  step1: combine like terms:add 90+66 together

180=156+x  step2: -156 on both sides

23=x

x=23

Answer:

7(2x + 5 - 3y)

Step-by-step explanation:

Looking at the Factors below the question, what do you notice?

I notice that 14, 35 and 21 all have a GCF of 7

With this, we can now start factoring, but before we start, keep in mind that we need to find terms that when multiplied with 7 give us 14x, 35, and -21y.

14x + 35 - 21y

7(2x + 5 - 3y)

Check you answer to make sure if results in our original expression:

7(2x + 5 - 3y) <== distribute seven

7(2x) + 7(5) + 7(-3y)

14x + 35 - 21y

Therefore, we have correctly factored the expression, and the correct answer is 7(2x + 5 - 3y)

Hope this helps!

Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

If 8cm divided by 4cm = 2cm

Answer:

114

Step-by-step explanation:

25% = 25/100 = 0.25

152 × 0.25 = 38

152 - 38 = 114

Answer:

$114

Step-by-step explanation:

152x0.75 = 114

Answer:

[tex]\longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]

Step-by-step explanation:

[tex] \sf \: if \: x > 0 [/tex]

[tex] \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } [/tex]

[tex] \sf Let's \: solve \: for \sqrt{56 {x}^{3} } \: first, \\\longmapsto \sf \sqrt{56 {x}^{3} } = \sqrt{14 \times 4 {x}^{2} \times x } \\ \sf \longmapsto \sqrt{56 {x}^{3} } = 4x \sqrt{14x} [/tex]

Substituting above value in given equation,

[tex]\longmapsto \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \\ \longmapsto\sf 6x \sqrt{14x} - 5 \times 4x \sqrt{14x} \\ \longmapsto \sf \: 6x \sqrt{14x} - 20x \sqrt{14x} \\\longmapsto \sf \: \sqrt{14x}(6x - 20x) \\ \longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]

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Answer:

i guess its A.

Step-by-step explanation:

I dont really know

Answer:

430 in^2

Step-by-step explanation:

Area of parallelogram =    base * height = 20 * 21.5 = 430 in^2

The value of the number n as described in the task content which involves quotient is; 1.5 times 10 Superscript negative 18.

It follows from the task content interpretation that;

On this note, it follows that;

On this note, upon division, the value of n is;

Read more on quotients;

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Answer:

It's A

Step-by-step explanation: