If P(x) is a polynomial with lead term -x7, then
a) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity
b) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
c) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
d) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity

Answers

Answer 1

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

What is a Polynomial ?

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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Related Questions

Solve the equation.
-x+8+3x = x-6
O x=-18
O x=-14
O x = 2
O x = 4

Answers

Answer:

x = -14

Step-by-step explanation:

- x + 8 + 3x = x - 6

- x + 8 + 3x - x + 6 = 0

x + 14 = 0

x = -14


Which linear equation has a slope of 3 and a y-intercept of -2?
y = 3x + 2
y = 3x - 2
y = -2x + 3
y=-2x-3

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

The number beside the x is the slope. The number at the end of the equation is the y-intercept.

All the answers are in this form:

y = mx + b

m is the slope.

b is the y-intercept.

With a 3 filled in for slope and -2 filled in for the y-intercept, you get:

y = 3x + -2

is the same as,

y = 3x - 2

Which of the following could be the first step in solving the equation below 4+2log_(3)x=17

Answers

Answer:

subract 4 from both sides

Step-by-step explanation:

Determine the equation of the line with slope m=2/3, passing through the point (0,4)

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

The slope-intercept form is y=mx+b. m (the slope) is equal to 2/3, so you can substitute that number in for m. B is the y value of the y-intercept. The y-intercept is (0,4) as given in the problem, so the value of b is 4. You can substitute that value into the equation as well.

Find the solution to the following system by substitution.
5x + y = 20
y = 5x

A. (2,10)
B. (4,0)
C. (0,20)
D. (4,20)​

Answers

Answer:

A. (2,10)

Step-by-step explanation:

5x + y = 20

y = 5x

The second equation is already solved for y, so substitute 5x for y in the first equation to find x.

5x + 5x = 20

10x = 20

x = 2

Now substitute 2 for x in the second original equation to find y.

y = 5(2)

y = 10

Answer: (2, 10) which is A.

Answer: A. (2, 10)

Step-by-Step Explanation:

=> 5x + y = 20 (Eq. 1)
=> y = 5x (Eq. 2)

Substitute value of ‘y’ from Eq. 2 in 1 :-

5x + y = 20
5x + (5x) = 20
10x = 20
x = 20/10
=> x = 2

Therefore, x = 2

Substitute value of ‘x’ in Eq. 2 :-

y = 5x
y = 5(2)
=> y = 10

Therefore, y = 10

Hence, x = 2 and y = 10 (2, 10)

Are the two triangles congruent?

Answers

Answer:

yes.......................

Step-by-step explanation:

ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

Answers

Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

What are opposite values?

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

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8.6 - 4 x 2 + 3/10 please i need this answer

Answers

Answer:

0.9

Step-by-step explanation:

when finding the margin of error of the mean of a normally distributed population from a sample, what is the critical probability, assuming a confindence level of 58%

Answers

The critical probability, assuming a confindence level of 58% is 0.79.

How to calculate probability?

From the information given, the confidence level is 58%. The alpha will be:

= 1 - (58/100)

= 1 - 0.58

= 0.42

The critical probability will be:

= 1 - (0.42/2)

= 1 - 0.21

= 0.79

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If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).

Answers

Answer:

f(3) = 68

Step-by-step explanation:

→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4

                     = f²(1) + 4

                     = 2² + 4

                     = 8

………………………………………………

→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4

                      = f²(2) + 4

                      = 8² + 4

                      = 64 + 4

                      = 68

Can anyone solve this problem ?

Answers

Answer:

defectionist forme solb ifv

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.0. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003?

Answers

Answer:

1,887,436,800

Step-by-step explanation:

f(t) = a·b^t

f (t) = number of cases at year t

a = starting value = 1800 in 1983

b = growth factor = 2

t = years since 1983 = 2003 - 1983 = 20

f(t) = 1800·(2)^20 =

1,887,436,800

wyzant

philip p

Write 1 3/5 as an improper fraction?

Answers

1 3/5 as an improper fraction is 8/5
13/5 is an improper fraction is 8/5

A shopkeeper buys 72 articles for $82.80. How much will he have to pay if he buys 150 such articles.​

Answers

Answer: He have to pay $172.5 if he buys 150 such articles.

72 articles for --> $82.80
1 article for - - - > 82.80/72

150 articles for --> (82.80/72)*150
                           = $172.5

Answer:

$172.5

Step-by-step explanation:

Given:

Shopkeeper buys = 72 articles

Price = $ 82.8

To Find:

The amount he'll need to pay If he buys 150 articles.

Solution:

Amount if he buys 150 articles

[tex] \boxed{\rm \: No. \: of \: articles \: he \:will \: buy × \cfrac{Cost \: of \: that \: article \: he \: has}{Number \: of \: articles \: he \: has}} [/tex]

[tex] = \$ \bigg(\rm150 * \cfrac{82.80}{72}\bigg) [/tex]

[tex]= \$ (150* 1.15)[/tex]

[tex] = \$172.5[/tex]

So we can conclude that:

$172.5 he will have to pay if he buys 150 such articles.

Elian's credit card had a balance of $132.20 on April 1. On April 5, he charged $74.50. On April 18, he made a payment of $52. On April 22, hecharged $18.75 and did not use the credit card the rest of the month. What was his average daily balance? $166.76 $173.45 $206.70 $179.86

Answers

Answer:

I iitiriririrrifjjrjr idiocy jdkthink 179.86

Simplify (27-17)^2-80

Answers

Answer:

-60

Step-by-step explanation:

find the indicated side of the right triangle

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3\sqrt3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \tan(60) = \cfrac{x}{3} [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{3} = \dfrac{x}{3} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3 \sqrt{3} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What type of polynomial is P(x)=2+x?

Answers

Answer: linear polynomial

Step-by-step explanation:

Help please!! I’m stuck with these questions. :)

Answers

Answer:

20 elements.

Step-by-step explanation:

Lets say

n(U) = 114

n(A) = 57

n(B) = 79

n(A n B)= 42

Now,

n(A U B) = n(A) + n(B) - n(A n B)

= 57 + 79 - 42

= 94

Now,

n(A U B) compliment = n(U) - n(A U B)

= 114 - 94

= 20

RQ=5x+1 and QT =3x+15. Find QT.

Answers

The length QT is 36 units

How to determine the length QT?

The attached image represents the missing information in the question

From the image, we have:

RQ =QT

Substitute known values

5x + 1 = 3x + 15

Evaluate the like terms

2x = 14

Divide by 2

x = 7

Substitute x = 7 in QT = 3x + 15

QT = 3 * 7 + 15

Evaluate

QT = 36

Hence, the length QT is 36 units

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Which statements about the system are true? Select two options.
y=-x-4
3y-x = -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.

Answers

The slope for both the line is m= 1/3 and  they are parallel lines , Option B and C are correct two options

The first equation is

 y = (1/3)x-4 and not y = -x-4

(if the equation is not corrected then it will not have two true statements)

What is a System of Equation ?

A system of equation is a set of equation which have a common solution

The given system of equation is

y = (1/3)x-4

3y -x = -7

3y = x-7

As it can seen from the standard equation of a line that

y =mx+c

so slope for both the line is m= 1/3

Therefore they are parallel lines

Thus , Option B and C are correct two options

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A rectangular room is 1.2times as long as it is wide, and its perimeter is
30 meters. Find the dimension of the room.
The length is :
meters and the width is
___meters.

Answers

The length is 6.8 meters and the width is 8.2 meters.

How to determine the dimension of the room?

Represent the length and the width with x and y

So, we have:

y = 1.2x

P = 2(x + y)

The perimeter is 30.

So, we have:

2(x + y) = 30

Divide by 2

x + y = 15

Substitute y = 1.2x

x + 1.2x = 15

This gives

2.2x = 15

Divide by 2.2

x = 6.8

Substitute x = 6.8 in y = 1.2x

y = 1.2 * 6.8

Evaluate

y = 8.2

Hence, the length is 6.8 meters and the width is 8.2 meters.

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What is the solution to t - 3 < 12

Answers

Answer:

[tex]\boxed {t < 15}[/tex]

Step-by-step explanation:

Given :

⇒ t - 3 < 12

Add 3 to each side :

⇒ t - 3 + 3 < 12 + 3

t < 15

Answer: t < 15

Step-by-step explanation:  

rearrange the terms                                       t - 3 < 12

calculate the sum or difference                    t < 12 + 3

answer                                                             t < 15                            

Use the graph of the parabola to fill in the table

Answers

(a) The parabola opens downward.

(b) The axis of symmetry is at x = -2.

(c) The vertex is at (-2,0).

(d) The x-intercepts is (-2,0), and the y-intercept is at (0,-1).

Need help ASAP, will mark brainliest if you can check my answer:

Answers

According to the compound interest model, we find the following results: I) x ≈ 11.5 yr, C' = $ 101317.36, II) r ≈ 7.4 %, x ≈ 9.8 yr, III) C = $ 7626.38, x ≈ 8.6 yr, IV) r ≈ 6.5 %, C = $ 12801.61

How to determined all the variables associated with compound interest

Compound interest describes the capital gain in term of deposited capital and the consideration that such capital is increased continuously in time. The compound interest model is shown below:

C' = C · (1 + r/100)ˣ     (1)

Where:

C - Initial capitalC' - Current capital r - Interest rate, in percentage.t - Time, in years

The doubling time (x) is the period needed for a capital to be doubled. It is described by the following expression based on (1):

x = (㏒ 2)/[㏒ (1 + r/100)]     (2)

Now we proceed to calculate each missing variable:

Case I - Doubling time

x = (㏒ 2)/[㏒ (1 + 6.2/100)]

x ≈ 11.5

Case I - Current capital

C' = 75000 · (1 + 6.2/100)⁵

C' = 101317.36

Case II - Interest rate

[tex]r = 100\cdot \left(\sqrt [5] {\frac{7130.90}{5000} }-1\right)[/tex]

r ≈ 7.4

Case II - Doubling time

x = (㏒ 2)/[㏒ (1 + 7.3/100)]

x ≈ 9.8

Case III - Initial capital

C = 11414.71/(1 + 8.4/100)⁵

C = 7626.38

Case III - Doubling time

x = (㏒ 2)/[㏒ (1 + 8.4/100)]

x ≈ 8.6

Case IV - Interest rate

[tex]r = 100\cdot \left(\sqrt [11] {2 }-1\right)[/tex]

r ≈ 6.5

Case IV - Initial capital

C = 17539.32/(1 + 6.5/100)⁵

C = 12801.61

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What is the slope of the line through (1,-2) and (-3,-2)?

Answers

-1/2

Step-by-step explanation:

m = y2-y1/x2-x1

-3+2/3-1

m=-1/2

Hii!

_________________________________________________________________

Answer: Slope = 2 - Choice [C] ✅

Step-by-step explanation:

Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!

The slope formula

The slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.

Let's stick in the values we know

[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-3+1}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-2}[/tex]

[tex]\sf m= \cfrac{4}{2}[/tex]

[tex]\sf m=2[/tex] ✅

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5. There are 2 boys and 3 girls in the class. The
ratio of boys to girls in the class is equal to all
of the following except

Answers

Answer:

9:12

Step-by-step explanation:

since the others are multiples of 2:3

but 9:12 is not a multiple

On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1

Answers

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

[tex]g(x) = \sqrt[3]{x + 2}[/tex].

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]

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Answer:

The answer is B. On EDGE.2022

Step-by-step explanation:

Just did it


Two trains going in opposite directions leave at the same time. Train B travels 5 mph faster than train A. In 3 hours the trains are 315 miles apart. Find the speed of each train

Answers

Answer:

Step-by-step explanation:

What is one possible value of 2x

Answers

Answer:

really good

Step-by-step explanation:

thanks for your help you with that do not have a copy of the receipt for your time to help you with the

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