What are all the roots of the equation x^4 + 2x^3 = 13x^2 - 10x ?​

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

Answer:

2-

Step-by-step explanation:

[tex]x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2[/tex]

Answer:

Step-by-step explanation:

Line a

Line b

Rewrite in slope-intercept form to find its slope:

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

Answer:

16

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Plug in:

8+8

Answer:

16

Step-by-step explanation:

2 × 4 = 8

8+8= 16

your answer is 16 when x equals 4

Answer:

Add the table and i might answer correctly

Step-by-step explanation:

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

Answer:

Answer: i think the answer is b

Step-by-step explanation:

think u

Answer:

the thrid one

Step-by-step explanation:

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

Answer:

Any 2 circles in the plane are similar.

Step-by-step explanation:

No, I disagree.

Any 2 circles in the plane are congruent only when their diameters have equal length.

Any 2 circles in the plane are similar.

Answer:

B

Step-by-step explanation:

Answer:

There is 9250 meters between the plane and the submarine.

Step-by-step explanation:

9000 above

250 below

9000+250= 9250 between the two vehicles

Answer:

15/16

Step-by-step explanation:

5×3=15

4×4=16

if they're two - you count them +

(my English is not very good :( )

Answer:

B

Step-by-step explanation:

The likely error in Manuel's claim is 552.61 in².

We have,

Height = 16 in

Diameter = 11 in

radius = 5.5 in

The surface area of a cylinder.

= 2πrh + 2πr²

= 2 x 3.14 x 5.5 x 16 + 2 x 3.14 x 5.5²

= 552.64 + 189.97

= 742.61 in²

Now,

Manuel incorrectly claimed that the surface area of the cylinder is

190.0 in²

Error = Correct surface area - Claimed surface area

Error = 742.61 in² - 190.0 in²

Error ≈ 552.61 in²

Thus,

The likely error in Manuel's claim is 552.61 in².

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ4

Answer:

10x (4x - 1)

Step-by-step explanation:

The GCF we can factor out is 10x.

40x²/10x = 4x

-10x/10x = -1

Answer:

6 cm

Step-by-step explanation:

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

Answer:

Aisha ran farther

Step-by-step explanation:

Aisha - 1 9/12

Paula - 1 5/12

Make the denominator the same

Answer:

x= -10

Step-by-step explanation:

So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.

Next add all three angles (125 + x + 35 + x + 40)=180

Combine the x values to get 2x and subtract the three values from 180

Then 2x= -20, x should be equal to -10

You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again

Answer:

90 degrees

Step-by-step explanation:

Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.

Answer: 13x - 14

Step-by-step explanation:

3x + 10x - 14

13x -14

Answer:

13x-14

Step-by-step explanation: