Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^4 +5x2 +4

Answer:

B

Step-by-step explanation:

40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

https://brainly.com/question/15070282

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]

ANSWER: x = 1

ok done. Thank to me :>

First find the areas of the two separate rectangles where:

Area of rectangle = length x width

Area of the small rectangle = x(x–4)

Area of small rectangle = [tex]x^{2} -4x[/tex]

Area of big rectangle = (x–2)(2x+x)

Area of big rectangle = (x–2)(3x)

Area of big rectangle = [tex]3x^{2} -6x[/tex]

The total area of the compound shape is 36, therefore:

[tex]3x^{2} -6x +x^{2} -4x=36[/tex]

[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)

By dividing this by 2, you get:

[tex]2(2x^{2} -5x-18)=0[/tex]

[tex]2x^{2} -5x-18=0[/tex]

To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.

[tex]2x^{2} -5x-18=0[/tex]

[tex](2x-9)(x+2)=0[/tex]

[tex]x=\frac{9}{2}[/tex]

[tex]x=-2[/tex]

However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.

Hope this helps :)

Step-by-step explanation:

do you mean

7×10⁵ × 3×10²

as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :

7×3 × 10⁵×10² = 21 × 10⁷

in what format do you need the result ?

21 × 10⁷

2.1 × 10⁸ (standard format)

210,000,000

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

Answer:

  x = 60 cm

Step-by-step explanation:

If we assume the figures are similar, then corresponding sides are proportional.

  x/36 = 35/21

  x = 36(35/21) = 60 . . . . cm

_____

You can consider the ratios of side lengths. Shortest to longest, they are ...

  7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60

The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.

Answer:

3.75$

Step-by-step explanation:

The part is the unknown.

Set up a proportion with the known values and solve for the part.

Using whole = $25, percent = 15%, part = ? dollars

part whole=percent 100→?25=15100

Multiply the numerator and denominator of a fraction by the

same number to determine an equivalent fraction.

StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100

Solve for the part.

?=15÷4=334=3.75

Answer:

C

Step-by-step explanation:

C

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

  putting x=18 in f(x), we get

    f(x)≈ -0.86×18+13.5

 ⇒      f(x)≈ -15.48+13.5

 ⇒      f(x)≈ -1.98

 ⇒      f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

Answer:

Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.

Step-by-step explanation:

Answer:

[tex]y = -2\, x[/tex].

Step-by-step explanation:

Find two points on the original line, [tex]y = 2\, x[/tex]:

Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].

Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].

Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].

Find the equation of the new line. The slope of the new line would be:

[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].

Equation of the new line in point-slope form:

[tex]y - 0 = (-2)\, (x - 0)[/tex].

[tex]y = -2\, x[/tex].

Answer:

b=a^2-6

Step-by-step explanation:

Answer:

square both sides, you will get

[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]

Step-by-step explanation:

square both sides, you will get

[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]

The search problems to consider with mobile devices, but not with laptop and desktop computers is

Your website must provide directions to your store's brick and mortar location

In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.

Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.

For more information on computers, laptops and mobile devices visit

https://brainly.com/question/4487618?referrer=searchResults

Answer:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Step-by-step explanation:

Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

Answer: =20 feet

= 35 feet

Explanation :

let width = a

length = a+15

Now,

2(2w+15)=110

2w=55-15

w=40/2

w=20

Answer:

see explanation

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or

the distance from the centroid to the midpoint is one third of the median

23

LF = 2 × HL = 2 × 30 = 60

HF = HL + LF = 30 + 60 = 90

24

KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5

LE = 2 × KL = 2 × 5 = 10

25

LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12

DJ = DL + LJ = 24 + 12 = 36

Answer:

[tex]\frac{11}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]

so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]

since all the denominators are the same we simply add the numerators to find x

x would be 8 +3 = 11

so [tex]\frac{11}{10}[/tex] is the answer

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Step-by-step explanation:

hope this help you::::::::::)

Answer:

lets get started

Step-by-step explanation:

Answer:

y+1 = [tex]\frac{3}{11}[/tex](x-5)

Step-by-step explanation:

First, find the slope.

-4--1= -3

-6-5= -11

3/11 is the slope

Plug in the slope and one the the points.

y+1 = [tex]\frac{3}{11}[/tex](x-5)

Follow me on  i n s t a g r a m, send a message, and I'll follow you back : ifaulkner24

Answer:

[tex]x=-10-8 = -18[/tex]

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

Answer: Tanaka is wrong becausee...

2 x 3 = 6

Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.

Hope this helps :)