Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?

Answers

Answer 1
if a polynomial function is given with degree and and and is even then it is possible toe have all complex zeros as complex zeros come in pairs in conjugated pairs, so we would always have two times the number of pairs given us and even degree.

Related Questions

A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?

Answers

Answer:

$255

Step-by-step explanation:

Equation would be

60x+0.5y= $ charged

x= days

y = per mile

60 * 3 + 0.5 * 150 = $

180+75=

=255

Greg would have to pay $255

Hope this helps!

(Pls mark brainiest)

Thanks!

Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?

Answers

Answer:

24

Step-by-step explanation:

4x6=12or 2x6=12so then 12+12=24

Answer:

6 songs per hour, so multiply that with the number asked which is four

so four times six is24

so she can play 24 songs in four hours!

~ ...

~ !

~ !

Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.

Answers

Check the picture below.

Classify the quadrilateral, Explain your reasoning. Thank you!!

Answers

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving?

Answers

Answer:

0.24 liters per serving (240 ml)

Step-by-step explanation:

[tex]1.92/8=0.24[/tex]

equivalent to 240 mililiters

Hope this helps

hallar una ecuacion de la parabola cuyo foco es (-2,2) y cuya directriz es = -8

Answers

The equation of the parabola whose focus is (-2,2) and whose directrix is x​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]

If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:

(h, k) is the vertex of the parabola

If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5

Substitute these values into the formula of the parabola.

[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]

Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x ​​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

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9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)

Answers

Answer:

X would be 1,000

Step-by-step explanation:

ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15

Answers

Answer:

"given figure"

No figure was given.

Step-by-step explanation:

Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.

Answers

Answer:

The ratio would be 5 to 3

Step-by-step explanation:

I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3

The ratio of grapes to cashews that she ate is 5:3.

What is ratio?

A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.

Given that, Regina ate 25 grapes and 15 cashews.

We need to simplify the ratio of grapes to cashews that she ate.

The ratio = 25/15

= 5/3

Hence the ratio of grapes to cashews that she ate is 5:3.

Learn more about ratios, click;

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100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!

Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:

A)

x = –2, 20∕7

B)

x = 20, –14

C)

image

D)

x = –1, 10∕7

Answers

Answer: D is my best guess

Step-by-step explanation:

Evaluate the expression 16+1+2​

Answers

The answer is 19 :) good luck

what is the reason for line 3??

Answers

Answer:

SAS similarity

Step-by-step explanation:

LO and LP are proportional to LN and LM, as shown by:

[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]

Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate

d = 10.2 ft, r = 0.5 ft/h​

Answers

Answer:

20.4

Step-by-step explanation:

If you are using D = r × t

                         10.2 = 0.5(t)

                          10.2/0.5 = t

                           20.4 = t

Answer:

20.4

Step-by-step explanation:

Which figure is NEVER a parallelogram?
triangle
rectangle
rhombus
square

Answers

Triangle because parallelograms are 4 sides and triangles have 3 sides

Answer:

Triangle

Step-by-step explanation:

A parallelogram have four sides

A furniture store receive
order for 456 chairs. They
can fit 9 chairs in a large
shipping box. How many
shipping boxes will they
need to ship all of the
chairs?

Answers

The answer is 50 or 51 because it’s 50.666 so you could round it to the nearest 10.

Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12​

Answers

9514 1404 393

Answer:

  E.  31.64

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:

  Tan = Opposite/Adjacent

You are given trig values for 36°. That means ...

  tan(36°) = 23/x

  x = 23/0.727 ≈ 31.64

PLS HELP ME

what party was against a strong central government, government promotion of trade and industry?

A: Federalist

B: Democrat-republicans

C: Whigs

D: Democrats

I need it now pls it's a k-12 test

Answers

Answer:

the answer is a federalist and your welcome

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16

Answers

Answer:

8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)

Step-by-step explanation:

Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me

Answers

128 pi

To find the area of a cylinder, we multiply the area of the base times it’s height. For a cylinder the base is a circle so we use
pi r^2 to find it. In this problem the radius or r = 4 so the area of the base equals 16 pi. The height is 8. So we multiply these two to get the answer of 128 pi

Prove that y = arcsinx on the root of 1 x squared satisfies the equality (1 - x squared)y' - xy = 1

Answers

Answer:

Step-by-step explanation:

The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().

We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.

Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.

Answers

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

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Find set A′ ∩ B′
U={a, b, c, d, e, f, g}
A={b, c, e, g}

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

L - 10 . W - 5

Step-by-step explanation:

Length = 3*width - 5

area = length * width

50 = (3w-5)* w

50 = 3w^2-5w

0 = 3w^2 - 5w -50

0= (3w+10)(w-5)

w = 5 , w can't equal -10/3 because width can't be negative

width is 5

Length = 3 * 5 - 5

Length = 10 , width = 5

Answer:

first lets say w is the width

50(area)=w(idth)+3(w-5)

50=w+3w+15

50=4w+15

35=4w

8.75=w

w equals 8 3/4

Hope This Helps!!!

fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE

Answers

Answer:

The rate of change will be the number of bags Fred fills for 1 customer.

Write a ratio.

21 : 3

x : 1

To solve for x, cross multiply.

3x : 21

Divide both sides by 3.

x = 7

Fred’s average rate of change is 7 bags.

:)

After doing the math the answer is seven

Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be

Answers

Step-by-step explanation:

check the image for detailed solution

Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =

Answers

Answer:

slope = - 2, y- intercept = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The y- intercept is the point on the y- axis where the line crosses

The y- intercept = 5

Which graph represents a proportional relationship?

Answers

Answer: The first graph

Step-by-step explanation:

A proportional graph always goes through the origin

Answer:

The first graph

Step-by-step explanation:

a square has an area of 64 square units. if it’s side were only half as long, what would it’s area be??

Answers

Answer:

16

Step-by-step explanation:

8x8 is 64, so half of 8 is 4 so 4x4 is 16

Give the two missing numbers in the following sequences.8,9,11,14,?,23,?​

Answers

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.

___ km/hour

Answers

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

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