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
defon
2 years ago
12

Passes through (2, 3) at a gradient of 2

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

You might be interested in
What is the value of the x variable in the solution to the following system of equations?
harkovskaia [24]
Its A. x=4

procedure: 3*equation1 - 2*equation2 ⇒ x=4
8 0
3 years ago
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x​ and g(x) = {\left( {\frac{x}{6}} \righ
Simora [160]

Answer:

the answer is B

Step-by-step explanation:

6 0
2 years ago
Add and subtract the following fractions. Remember to find the LCD first.
eimsori [14]

Answer:

1. 5/6

2. 5/8

3. 29/44

4. 3/8

5. -8/15

8 0
3 years ago
What is the perimeter of the following figure?​
PSYCHO15rus [73]

Answer:

13.4 x 2 = <em>26.8</em>

<em>12.5</em>

HYPOTENUSE:

10^2 + 12.5^2 = 256.25

Square root of 256.25 = around 16

which would equal 256

<em>16 </em>is your hypotenuse.

26.8 + 12.5 + 16 = 55.3 is your perimeter

3 0
2 years ago
In a church wing with 8 men and 10 women members find the probability that a 5 member committee chosen randomly will have.......
Sergeeva-Olga [200]

Answer:

a) Probability that a 5 member committee will have all men = 0.0065

b) probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Step-by-step explanation:

Number of men = 8

Number of women = 10

Total number of members = 10 + 8 = 18

Probability = (Number of possible outcomes)/(Total number of outcomes)

Number of ways of selecting a 5 member committee from 18 people = ^{18}C_5 = \frac{18!}{(18-5)!5!} = \frac{18!}{13!5!} = 8568 ways

a) Probability that a 5 member committee will have all men

Number of ways of selecting 5 men from 8 men

= ^8C_5 = \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!} = 56 ways

Probability that a 5 member committee will have all men = 56/8568

Probability that a 5 member committee will have all men = 0.0065

b)probability that a 5 member committee chosen randomly will have 3men and 2 women​

Number of ways of selecting 3 men from 8 men

=  ^8C_3 = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = 56 ways

Number of ways of selecting 2 women from 10 men

=  ^{10}C_2 = \frac{10!}{(10-2)!2!} = \frac{10!}{8!2!} = 45 ways

Number of ways of selecting 3 men and 2 women = 56*45

Number of ways of selecting 3 men and 2 women = 2520

Probability of selecting 3 men and 2 women = 2520/8568 = 0.294

probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

6 0
3 years ago
Other questions:
  • Why do you add a zero when multiplying two digits by two digits
    6·1 answer
  • Which statement is correct?
    9·1 answer
  • Can anybody help me with this and show work ?? :)
    7·1 answer
  • Our library has 3,489 non-fiction books, 8,617 fiction books and 1,240 reference books. If there are 564 students and each stude
    13·1 answer
  • Probability of a coin landing on heads
    7·2 answers
  • Was the median high temperature higher or lower then 37 degrees
    12·1 answer
  • 5 7/12 less than or greater than
    8·1 answer
  • Story problem to represent 6 divided by 1/5
    11·1 answer
  • Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 500 sandwiches in all, 270 of which
    12·1 answer
  • Y=-|2x+5|+|2x-5|
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!