How many and of which kind of roots does the equation
f(x) = x5+ 3x4 + 8x3 + 14x2 + 16x + 8 have?
A. 2 real; 3 complex
B.5 real
C. 3 real;2 complex
D.1 real;4 complex

Answer:

30/11 (hours)

Step-by-step explanation:

Pipe A can fill the tank until it is full in 3 hours.

=> In 1 hour, pipe A can fill 1/3 of tank

Pipe B can fill the tank until it is full in 5 hours.

=> In 1 hour, pipe A can fill 1/5 of tank

Pipe C can empty the full tank in 6 hours.

=> In 1 hour, pipe A can empty 1/6 of tank

Assume that we open 3 pipes A, B, and C at the same time.

Then, in 1 hour, the amount of water in tank is:

A =  1/3 + 1/5 - 1/6 = 10/30 + 6/30 - 5/30 = 11/30 (tank)

=> The time to fill up the tank is:

T = 1/A = 1/(11/30) = 30/11 (hours)

Answer:

30/11

Step-by-step explanation:

Imagine the tank can hold x litre of water

So,A can fill x/3 litre water per hour

And B can fill x/5 litre water per hour

And C can reduce x/6 litre of water per hour which is filled by A and B.

So the gross calculation per hour is:

(x/3+x/5)-x/6

=11x/30

Now suppose it tooks 'a' hour to fill the tank.

So, a(11x/30)=x

⇨ a= (30/11x)x

⇨a=30/11

Answer:

2/5 ±i4/5sqrt(6)= t

Step-by-step explanation:

20= 4t -5t^2

Rewriting

20 = -5t^2 +4t

Divide by -5

20 = -5t^2 +4t

20/-5 = -5/-5t^2 +4/-5t

-4 = t^2 -4/5 t

Complete the square

Take the coefficient of t

-4/5

Divide by 2

-4/10 = -2/5

Square it

(-2/5)^2 = 4/25

Add to each side

-4 +4/25 = t^2 -4/5 t + 4/25

-100/25+4/25 = ( t-2/5)^2

-96/25 = ( t-2/5)^2

Take the square root of each side

sqrt(-96/25) = sqrt(( t-2/5)^2)

±isqrt(96/25)=( t-2/5)

±i4/5sqrt(6)=( t-2/5)

Add 2/5 to each side

2/5 ±i4/5sqrt(6)= t

Answer:

3750 GH cedis

Step-by-step explanation:

Step-by-step explanation:

100%=15000GH cedis

125%=?

125×15000/100

18750GH cedis

Getting each exercise correct gets you 8.3(recurring)%. Therefore if you answer 10 exercises correctly you get 83.3%, and if you answer 9 exercises correctly you get 75%, this means that the minimal exercises you need to get correct is 10.

Answer:

3000 students

Step-by-step explanation:

If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.

[tex]\frac{1440}{x} = \frac{48}{100}[/tex]

We can use the cross products property to find the value of x.

[tex]1440\cdot100=144000\\\\144000\div48=3000[/tex]

Hope this helped!

Answer:

B E

Step-by-step explanation:

Answer:

B. The mathematical domain is the set of real numbers, while the reasonable domain only includes real numbers greater than or equal to 0.

E. The mathematical range has a minimum value greater than 0, while the reasonable range is limited to whole numbers and has a minimum value greater than or equal to 500.

Step-by-step explanation:

Edge 2021

Answer:

y = x + 15

Step-by-step explanation:

My friend swims x minutes.

I swim 15 minutes more than my friends, so I swim x + 15 minutes.

I swim y minutes, so y equals x + 15

Answer: y = x + 15

Answer:

:

"(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

.

(110 - 7) (110 - 3)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-7) , b = (-3)

= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}

= 12100 + (-10)*110 + 21

= 21200 - 1100 + 21

= 11021

.

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.

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120

.

(100 - 5) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-5) , b = (-4)

= (100)² + { (-5) + (-4) }*100 + 20

= 10000 + (-9)*100 + 20

= 10000 - 9000 + 20

= 10020 - 900

= 9120

.

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.

(100 + 4) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 4 , b = (-4)

= (100)² + { 4 + (-4) }*100 + 4*(-4)

= 10000 + (4 - 4)*100 - 16

= 10000 + 0*100 - 16

= 10000 - 16

= 9984

.

(90 + 14) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 14 , b = 6

= (90)² + (14 + 6)*90 + (14*6)

= 8100 + 20*90 + 84

= 8100 + 1800 + 84

= 9984"

This answer was in another question

This answer was given by BloomingBud

Step-by-step explanation:

Answer:

1) 9120 2) 11021

Step-by-step explanation:

95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120

103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021

Answer:

9 tables

12 stools

Step-by-step explanation:

x= number of tables

x+3= number of stools

4x+3(x+3)=72

4x+3x+9=72

4x+3x=72-9

7x=63

x=9

So he built 9 tables and 12 stools

(9x4=36, 3X12=36, 36+36=72) CHECK

Answer:

no real numbers

Step-by-step explanation:

x^2 − 10 x + 25

Factor

What 2 numbers multiply to 25 and add to -10

-5*-5 = 25

-5+-5 = -10

( x-5) (x-5)

This touches the graph at x =5

The parabola is positive so there are no values where the graph is negative

Answer:

No real solutions

Step-by-step explanation:

Part 1: Factoring the quadratic

The equation is in quadratic form - ax² + bx + c = 0.

Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].

[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]

Part 2: Using discriminant to determine roots

Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x  without altering the final value that the equation is equal to.

sine and cosecant.

you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate

Answer:

-4 -5x

Step-by-step explanation:

4(1 – 3x) + 7x – 8.

Distribute

4 -12x +7x -8

Combine like terms

-4 -5x

Answer:

The simplified answer of this expression is -5x - 4

Step-by-step explanation:

4(1 - 3x) + 7x - 8

Distribute 4 to (1 - 3x)

4 - 12x + 7x - 8

Rearrange the terms so it'll be easier to combine them.

4 - 8 - 12x + 7x

Combine like terms.

-4 - 5x

Put the equation in standard form.

-5x - 4

Answer:

A is the answer

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

Answer:

68 square cm

Step-by-step explanation:

Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,

Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.

[tex] = {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2} [/tex]

Answer:

The number is n-0.75

Step-by-step explanation:

Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.

The first thing we do here is to calculate the value of 75% of 1.

That would be;

75/100 * 1 = 0.75

So this value less than n will be;

n- 0.75

Answer: [tex]64.3=\frac{1}{3}(B)(7)[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3} Bh[/tex]

B is the area of the base

h is the height of the cone

[tex]V=64.3 cm^3[/tex]

[tex]h=7cm[/tex]

[tex]64.3=\frac{1}{3}(B)(7)[/tex]

[tex]192.9=(B)(7)[/tex]

[tex]B=192.9/(7)[/tex]

[tex]=27.56cm^2[/tex]

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

Answer:

Let the distance from home to the park be x

Going to the park

Distance=vt

x=14t¹ ——(1)

Going back home

x=10t² ——(2)

Total time=t¹+t²

2.5=t¹+t²

Solving equ. 1 and 2 simultaneously

10x=140t¹

14x=140t²

Adding

4x=140(t¹+t²)

24x=140(2.5)

x=14.58 miles

Total distance= 2x

= 29.16miles

Step-by-step explanation:

1) 9.8 cm

3) 194.68 kilo litters

Step By Step Explanation

Sister these questions are related to volume of cylinder.

You need to use this formula πr²h [ Where r is radius and h is height or depth]

_______________________________________

3)

Given:

Diameter = 4m

Therefore radius = 2m

Depth is 31/2 m

To Find:

How many kilo litters will it hold ?

Actually It's asking about Volume.

Solution:

You know, volume = πr²h

[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]

[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]

[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]

[tex] = \sf 194.68 \: \: kilolitters[/tex]

_______________________________________

1)

Given:

Diameter = 14 cm

[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]

height = 20 cm

Diameter of other cylinder = 20 cm

[tex] \sf \therefore \: radius = 10 \: cm[/tex]

To Find:

Deep of water in other cylinder

Consider the depth of water be x

Solution:

Volume of water will remain constant in both

So,

[tex]V_1 = V_2[/tex]

[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]

[Eliminating π from both sides]

[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]

[tex]49 \times 20 = 100x [/tex]

[tex]x = \dfrac{49 \times 2}{10} [/tex]

[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]

Therefore the required value of x is 9.8 cm .

Answer:

1000ml

Step-by-step explanation:

4 days she drank ½ of the bottle

so she drank ⅛ l of juice everyday

so

1000ml is the answer

Answer:

Step-by-step explanation:

[tex]x^{2} -x-x<[/tex] 0

[tex]x^{2} -2x[/tex] < 0

x^2-2x+1<1

(x-1）^2<1

-1<x-1<1

0<x<2

[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]

Answer:

12.25

Step-by-step explanation:

73.50 divided by 6 for each shirt is 12.25 a shirt

Answer:

A=d-c/b

Step-by-step explanation:

Answer:

ab+c=d

Step-by-step explanation:

just took the test

Answer:

15

Step-by-step explanation:

half of 30 is 15

he used all the numbers upto 30 once

all the numbers in between arent integers but decimals

Answer:

42

Step-by-step explanation:

If the scale factor is 2/7 divide 12 by 2 which is 6. 6 is 1/7 and if Figure a is 7/7

multiply 6 by 7 to get x. That would be 42.

Answer:

42

Step-by-step explanation:

Since the scale factor is [tex]\frac{2}{7}[/tex], we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is [tex]\frac{2}{7}[/tex] of the bigger one, we can make the equation

[tex]\frac{2}{7}x = 12[/tex].

To solve for x, we can divide both sides by  [tex]\frac{2}{7}[/tex].

[tex]x = 12\div{\frac{2}{7}}[/tex]

We can multiply by the reciprocal:

[tex]\frac{12}{1} \cdot \frac{7}{2} = \frac{84}{2} = 42[/tex]

Hope this helped!

Answer:

x = 19

Step-by-step explanation:

The angles of a triangle add to 180

U and S are equal since they are the base angles  and UT and ST are equal

S + T + U = 180

x + 26 + 90 + x+26 = 180

Combine like terms

2x +142 = 180

Subtract 142 from each side

2x = 38

Divide each side by 2

2x/2 = 38/2

x = 19

Answer:

19

Step-by-step explanation:

x+26+x+26+90 = 180

2x + 52 = 90

2x = 38

x = 19

Answer:

A. 10

Step-by-step explanation:

As we know that

The length of the major axis of the ellipse is 10

i.e

2 a = 10

Also, the ellipse is the curve that consists of 2 focal points  in order that the total of the distance to the 2 focal points would remain constant for each and every point displayed in the curve

Now we assume that P is the curve point

So,

PF1 + PF2

i.e

2 a (blue line) + (red line)

2 a = 10

Therefore the sum of the length is 10

Answer:

10

Step-by-step explanation:

Answer:

The formula for ABC Triangle

(AB×AC)/2

= (4.7×2.4)/

= 11,28/2

= 5,64 in²

Answer:

6:5

Step-by-step explanation:

It's 6:5 trust homie

Answer:

B

Hope it helped you out

Tysm