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
kirill115 [55]
3 years ago
12

3k2-19=15k-1 solve by factoring

Mathematics
1 answer:
kow [346]3 years ago
6 0

For this case we must factor the following expression:

3k ^ 2-19 = 15k-1

We manipulate algebraically, taking into account that different signs are subtracted and the sign of the major is placed:

3k ^ 2-15k-19 + 1 = 0\\3k ^ 2-15k-18 = 0

We divide by 3 on both sides of the equation:

k ^ 2-5k-6 = 0

To factor, we look for two numbers that, when multiplied, result in -6 and when added, result in -5. These numbers are -6 and +1.

-6 + 1 = -5\\-6 * (+ 1) = - 6

Thus, we factor the equation:

(k-6) (k + 1) = 0

The roots of the equation are:

k_ {1} = 6\\k_ {2} = - 1

ANswer:

k_ {1} = 6\\k_ {2} = - 1

You might be interested in
Amanda used 45 ounces of sugar to make 75 cupcakes. How many ounces of sugar will be used to make 255 cupcakes?
SVETLANKA909090 [29]
153oz.

Explanation:

First divide 75 by 45 to get 1⅔. This is the ratio of sugar to cupkakes.

Next take 255 and divide by 1⅔ and you get 153 oz of sugar.

Hope this helps!
7 0
3 years ago
Read 2 more answers
A spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 36 cm to 9 cm i
Ksenya-84 [330]
The answer is C.
I hope I helped you
5 0
3 years ago
What is a median i need help
Sonja [21]
Median is the middle number of a data. To find median, you have to list the numbers in numerical order and find the middle number.
8 0
3 years ago
A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone
Nesterboy [21]

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

P(n, p) = n! / (n - p)!

So we have:

P(10, 2) = 10! / (10 - 2)!

P(10, 2) = 10! / 8!

P(10, 2) = 10*9 = 90

So there are 90 different ways of choosing a president and a vice-president.

7 0
4 years ago
a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
Other questions:
  • a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylind
    14·1 answer
  • If a carton of eggs cost $2.79, what is the cost of 6 cartons?
    14·1 answer
  • H(x)=5x-10 find the inverse
    8·1 answer
  • 2. In the equation below, find m in terms of y, g, and h.<br>2mh - y = 9​
    5·1 answer
  • There are 9 players on a baseball team. After the game each player high-fives once with everyone else. How many high-fives were
    15·1 answer
  • GIVING BRAINLY 100 PTS
    5·1 answer
  • Please help me 1,2,3 or 4 need ASAP.
    11·1 answer
  • Complete the exponent chart
    11·1 answer
  • You buy 100 file folders for 7.72. How much are you paying for each file folder?
    15·1 answer
  • Identify the appropriate property that describes the following statement.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!