1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dolphi86 [110]
3 years ago
13

Factor by grouping and find the zeros x^3 - 10x^2 + 25x - 250 = 0

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:

The answer to your question is x₁ = 10; x₂ = 5i; x₃ = -5i

Step-by-step explanation:

                                            x³ - 10x² + 25x - 250 = 0

Factor by grouping

                                     x²(x - 10) + 25(x - 10) = 0

                                   (x - 10) (x² + 25) = 0

                                     x₁ - 10 = 0

                                    x₁ = 10

                                     x² + 25 = 0

                                    x² = -25

                                    x² = ± √-25

                                    x² = ± √25i²

                                    x₂ = 5i

                                    x₃ = -5i

                                                       

You might be interested in
Mr Adams has poster paper that is 10 3/4 feet long. He wants to make sheets that are 1/4 of a foot long to make paper airplanes.
8090 [49]

Answer:

43

Step-by-step explanation:

divide 10 3/4 by 1/4

4 0
2 years ago
Quick algebra 1 question for 50 points!
snow_tiger [21]

Answer:

Yes.

Step-by-step explanation:

Yes, the given line can be used to make reasonable predictions of the number of cheese pizzas that will be sold, since the scatter points clearly show a trend.

As time goes on, the number of pizzas sold is getting bigger, and the trend is what created the line.

The data was taken over 8 consecutive weeks, so we can assume that it can be used in our prediction.

Since the trend has been pretty consistent over periods of time, we can expect it to continue in the upcoming weeks.

3 0
1 year ago
9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m
Makovka662 [10]

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

V=\frac{1}{3}\times B\times H

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

B=\frac{b\times h}{2}

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

B=\frac{16\times9}{2}=\frac{144}{2}=72m^2

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3

Therefore, the volume is 240 m³

4 0
1 year ago
The product of a number t and 6 increased by 1 is equal to 43
Flura [38]
6*7=42 42+1=43 therefore the number you are looking for is 7
5 0
2 years ago
Use a 70% discount coupon or 40%, then 20%, then 10% on your whole purchase?
vredina [299]
It would add up to 70% ?
6 0
2 years ago
Other questions:
  • Find the value of x for which m//n<br> A.<br> 31<br> B.<br> 33<br> C.<br> 39<br> D.<br> 41
    5·2 answers
  • Which student factored the expression x3 - 3x + x2 - 3 correctly based on their answer below?
    6·2 answers
  • Boleslaw: How many yards for 8 uniforms?
    13·1 answer
  • What can you learn about a situation from looking at a graph
    8·1 answer
  • Solve<br> x2 - 8x + 14 = 6 - 2x<br> x =<br> or x =
    14·2 answers
  • I kinda need help with this i’ve already done all the other questions but this one and i really want these 600 points :( &lt;3
    10·1 answer
  • Please help with this question on area!
    12·1 answer
  • The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fift
    11·1 answer
  • Find the value of x that makes line u and like v and parallel.
    10·2 answers
  • Point (-7,-5) is located in which quadrant?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!