What are the real imaginary solutions of the polynomial equation?
x^3=216

Answers

Answer 1

Answer: When you look at it, you would wonder why this equation is considered to be a polynomial where in fact there is only one factor. The only reason to explain this is that the other factors have zero as the coefficient. On another note, to answer this problem, we need to get the cube root of 216 which is 6, which is also the answer to this problem.

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3902.00 divided by 3

Answers

So,

3902/3 = x

1300\overline{6} = x

Fraction: 1300 2/3

The answer for your question is 1300.66667

A bus and a car leave from the same city traveling in opposite directions. The bus leaves 2 hours before the car does. The bus travels at a steady speed of 50 mph while the car travels at 70 mph. After how many hours will the bus and car be 800 miles apart?If h represents the number of hours the bus travels, then which of the following expressions represents the number of miles the car travels?

a.70(h + 2)
b.70(h - 2)
c.70h

Answers

The formula for this equation would be B. 70(h - 2)

Answer:

70(h-2) is the correct answer

Erin and Aimee are each responsible for mowing half of their back yard. the yard is rectangular with dimensions 75 feet by 90 feet. Erin starts mowing the corner, gradually working her way towards the middle by mowing concentric bands around the outside edges. If the mower cuts a three foot wide path, at what point should Erin and Aimee stop mowing?

Answers

Answer:

Erin should stop at three and a half rounds.

Step-by-step explanation:

One complete round will mow 954 square feet, the total area that she has to mow 3375 square feet. If she goes around three and a half times, she should be finished and stop. This was quite hard to figure out, and may very well be incorrect in some way, but I hope this helps.

A is the point (2, 3) and B is the point (7,-5).Find the equation of the linethrough A that is perpendicular to AB. Give your answer in the form y =
mx+C.

Answers

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

A is the point (2, 3) and B is the point (7,-5). Then the slope of the line AB is given as,

m = (3 + 5) / (2 - 7)

m = - 8 / 5

Then the slope of the perpendicular line is given as,

⇒ -1/m

⇒ - 1/(- 8/5)

⇒ 5/8

Then the equation of the perpendicular line is given as,

y = (5/8) x + c

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

More about the equation of a perpendicular line link is given below.

brainly.com/question/14200719

#SPJ2

Answer:

y=0.625x+1.75

Step-by-step explanation:

The equation of the line that goes through (2, 3) and (7, -5) needs to be found before finding the equation perpendicular to it. The formula y=mx+c will be used for finding this equation.

Calculating the slope between the data points:

$m1=(3-(-5))/(2-7)=(8)/(-5)=-1.6$

Finding the first y-intercept:

$y=mx+c$

$c=y-mx$

$c=3-(-1.6*2)=3+3.2=6.2$

The equation for the line that goes through the points is:

$y=-1.6x+6.2$

The perpendicular slope will be the opposite reciprocal of the original slope.

The second slope is found by first multiplying the first slope (m1) by -1:

$m2=m1*-1=-1.6*-1=1.6$

Then by taking the reciprocal:

$m2=(1)/(1.6) =0.625$

The second equation must have an intercept that goes through point A:

$c=y-mx$

$c=3-(0.625*2)=3-1.25=1.75$

The perpendicular equation is:

$y=0.625x+1.75$

josh wanted to buy a bicycle but didn't have enough money. After josh told his troubles to sam slick, sam said,"I can fix that. see that fence? each time you jump that fence, i'll double your money. There's one small thing though: you must give me $32 each time for the priviledge of jumping." Josh agreed, jumped the fence, received his payment from sam slick, and paid sam $32. Repeating the routine twice more, josh was distressed to find that, on the last jump,after sam had made his payment to josh, josh had only $32, with which to pay sam and so had nothing left. Sam, of course, went merrily on his way, leaving josh wishing that he had known a little more about mathematics.

Answers

If he had less than 32 he couldn't jump. If he had 64 he would have not lost nor won on each jump -- he gets 64 in total after each jump. If he had more than 64 he would have won.
Now, 3 jumps give him a result of 32. After 2 jumps he had 32(pay)+16(doubled)=48. After the first jump he had 32+24=56. Before that he had 32+28=$60. 5 more dollars and he could have build his way to richness!

Answer:If he had less than 32 he couldn't jump. If he had 64 he would have not lost nor won on each jump -- he gets 64 in total after each jump. If he had more than 64 he would have won.

Now, 3 jumps give him a result of 32. After 2 jumps he had 32(pay)+16(doubled)=48. After the first jump he had 32+24=56. Before that he had 32+28=$60. 5 more dollars and he could have build his way to richness!

Read more on Brainly.com - brainly.com/question/6619#readmore

Step-by-step explanation:

Factor completely 16x2 + 40x + 25.(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

(4x + 5)(4x + 5)