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3 years ago

Select the correct answer. what is the factored form of this expression x^9 - 1000?

Mathematics

2 answers:

hoa [83]3 years ago

8 0

Answer: 5

Step-by-step explanation:

Stels [109]3 years ago

5 0

Answer:

Step-by-step explanation:

b simplified is the only one that works

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Solve the equation by completing the square 5x(x+6)=-50

motikmotik

First lets distribute the 5x
5x^2 + 30x = -50

Lets divide every term by 5
x^2 + 6x = -10

To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9

Add that to both sides of the equation
x^2 + 6x + 9 = -1

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)

(x+3)^2 = -1

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i

3 0

2 years ago

Your car gets about 20 miles per gallon. You are planning to drive to

igor_vitrenko [27]

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

5 0

2 years ago

The courtyard outside East Middle School is in the shape of a rectangle and half-circle.

Nadya [2.5K]

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area = 5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

8 0

2 years ago

Dora has 10 seashells and plans to add 2 shells every week. Jerri has 4 seashells and plans to add 5 shells every week. Which sy

Mariulka [41]

Answer:

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

y = 10 + 2x

y = 4 + 5x

Since, the girls have the same number of seashells

⇒ $10 + 2x = 4 + 5x$

Subtract 4 from both sides we get;

$6 + 2x = 5x$

Subtract 2x from both sides we get;

$6= 3x$

Divide by 3 both sides we have;

x = 2 weeks.

Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.

3 0

3 years ago

Please help me on this one

kotykmax [81]

Answer:

8.52

Step-by-step explanation:

you have to add all of the amounts that were spent which is 631 and then use proportions to find it. 631 x 1.35 devided by 100

4 0

3 years ago

Select the correct answer. what is the factored form of this expression x^9 - 1000?​

Select the correct answer. what is the factored form of this expression x^9 - 1000?