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
Andreyy89
3 years ago
11

Factor by completing the square 5x^2-21=10x

Mathematics
1 answer:
velikii [3]3 years ago
4 0
Solve for x over the real numbers:
5 x^2 - 21 = 10 x

Subtract 10 x from both sides:
5 x^2 - 10 x - 21 = 0

Divide both sides by 5:
x^2 - 2 x - 21/5 = 0

Add 21/5 to both sides:
x^2 - 2 x = 21/5

Add 1 to both sides:
x^2 - 2 x + 1 = 26/5

Write the left hand side as a square:
(x - 1)^2 = 26/5

Take the square root of both sides:
x - 1 = sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
x = 1 + sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
Answer:  x = 1 + sqrt(26/5) or x = 1 - sqrt(26/5)
You might be interested in
4. Represent the following sets in Roster form.
Phoenix [80]

The roster form of the given sets are:

(i) A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.

(ii) B = {1, 2, 3, 4, 5, 6, 7}.

(iii) C = {27, 64}.

(iv) D = {-1, 0, 1}.

The roster form of any set is the set with all elements of the set written in the set.

In the question, we are asked to represent the known sets in the roster form.

(i) A=The set of all odd natural numbers less than 20.

The set of all natural numbers, that is numbers after 1.

Odd numbers are numbers of the form 2n - 1.

Thus, the roster form is: A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.

Going similarly to the others, we will get:

(ii) B={y: y = n, n ∈ N, n ≤7}

Roster form is, B = {1, 2, 3, 4, 5, 6, 7}.

(iii) C = {x: x is a perfect cube, 8 < x < 125}

Roster form is, C = {27, 64}.

(iv) D= {x: x ∈ Z, -2 < x < 2}​.

The roster form is, D = {-1, 0, 1}.

Learn more about the roster form of a set at

brainly.com/question/2166579

#SPJ9

6 0
2 years ago
A university class has 22 students: 3 are nursing majors, 9 are psychology majors, and 10 are business majors. (Each student has
KiRa [710]

Answer:

27/462

OR

.058

Step-by-step explanation:

the probability that the first student, selected at random, is a nursing student is 3/22.

the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.

the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.

7 0
3 years ago
Someone help me with this question!
Oksi-84 [34.3K]
The “1/2” caused the parabola to be vertically compressed meaning it got wider.

and the “-2” caused the parabola to move 2 units to the right

Therefore the correct answer should be C.
8 0
3 years ago
In a basketball game morgan made 9 baskets each worth 2 points. Jim made the same number of points in the game but made only bas
ycow [4]

baskets that jim make is 27,cause 9times3 equal 27.

3 0
3 years ago
Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

#SPJ1

6 0
2 years ago
Other questions:
  • Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
    5·2 answers
  • Write an equation of a line in point-slope form that is perpendicular to the line y=1/2x-7 and goes through the point (4,-3)
    6·1 answer
  • Eric has 158 action figures to put in display cases.each display case can hold 6 action figures.how many cases does Eric need to
    14·1 answer
  • Find the area of a right triangle with a base of 38 cm and height of 26 cm.
    13·2 answers
  • What is the slant height x of the square pyramid?
    13·1 answer
  • Find the slope of every line that is perpendicular to this one pls help i’m dumb
    8·2 answers
  • Please help!!! Ill mark brainliest if correct!
    10·1 answer
  • Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to
    5·1 answer
  • A group of friends wants to go to the amusement park. They have no more than $165
    11·1 answer
  • A cruise line ship left Port A and traveled 90 miles due west and then 400 miles due north. At this point, the ship docked at Po
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!