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]
2 years ago
12

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

Mathematics
1 answer:
kow [346]2 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
Please help need this before 4:15pm
yawa3891 [41]

Answer:

Top right i believe

Step-by-step explanation: the elements that make up life are carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur.

7 0
3 years ago
Work out the mean for the data set below: 6, 4
aliina [53]

Answer:

5

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

8 0
3 years ago
Sharon has 23 toy car that are colored red, blue, and white. She has 4 red cars, 2 fewer blue cars than red and 5 more purple ho
podryga [215]

Answer:

13 white cars

Step-by-step explanation:

Let us represent:

Number of

Red cars = x

Blue cars = y

White cars = z

Sharon has 23 toy car that are colored red, blue, and white.

x + y + z = 23

x = 4

2 fewer blue cars than red

y - 2 = x

y - 2 = 4

y = 4 + 2

y = 6

Hence,

x + y + z = 23

4 +

Number of white cars is calculated as:

23 - (6 + 4)

23 - 10

= 13 white cars

8 0
3 years ago
When a trend line is drawn on a scatterplot, there are 4 points above the trend line. About how many points should be below the
scoundrel [369]
There is no exact rule for lines of best fit. However, in general, there should be roughly the same amount above as below. So, if we are following this rule, there should be about 4 below as well. 
5 0
3 years ago
Read 2 more answers
Right two equal fractions 2/3
saveliy_v [14]
Two equal fractions would be 4/6 and 6/9.
8 0
3 years ago
Other questions:
  • a right rectangular prism has a length of 8 cm, width of 10 cm and height of 10 cm and volume of the prism can be determined by
    13·1 answer
  • What temperature is 15 degrees lower than 7 degrees celsius
    7·1 answer
  • Model the number 8.88 on the place value
    8·1 answer
  • Write an equation for the relationship shown on this graph if the price per ticket is doubled.
    15·1 answer
  • You have $15 to spend on school supplies. You need to buy a three-ring binder and some folders. The binder costs $5.99 and each
    10·1 answer
  • If Millie invests $35,000 in a savings account that earns 3.5% interest, how much interest will she earn after 3 years?
    5·1 answer
  • What is the answer to this?
    7·1 answer
  • Can someone solve this equation.
    6·1 answer
  • What is the best estimate for this sum 1/8+1/6=The sum will be close to?
    14·1 answer
  • What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equat
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!