All categories

3 years ago

Is the point (5,-1) a solution of y=2x-11

Mathematics

1 answer:

Nataly [62]3 years ago

3 0

if the given point satisfies this equation then it would be its solution

(-1)=2(5)-11

-1=10-1

-1=-1

lHS=RHS

Hence (/,-1) is the solution of y=2x-11

You might be interested in

Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an

olga_2 [115]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
Thank you <3

8 0

4 years ago

9. A band director wants to form a committee of 4 parents from a list of 45 band parents.

Alex73 [517]

Answer:

Part (A): The number of ways to select 12 jurors are 86493225.

Part (B): The number of ways to select 2 alternates are 306.

Part (C): Part (a) is an example of combination and Part (a) is an example of permutation

Step-by-step explanation:

Consider the provided information.

A band director wants to form a committee of 4 parents from a list of 45 band parents.

Part (A): How many different groups of 4 parents can the band director select?

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}C_{4}=\frac{45!}{4!(45-4)!}$

$^{45}C_{4}=\frac{45!}{4!41!}$

$^{45}C_{4}=148995$

Hence, the number of ways are 148995.

Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?

Since the order matter so we will use permutation:

The formula for permutation is: $^{n}P_{r}=\frac{n!}{(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}P_{4}=\frac{45!}{(45-4)!}$

$^{45}P_{4}=\frac{45!}{41!}$

$^{45}P_{4}=3575880$

Hence, the number of ways are 3575880.

Part (C) . Explain the difference between parts (a) and (b) in terms of how you decided to solve each part.

Part (A) is an example of number of combination where order doesn't matter.

Part (B) is an example of permutation where order matter.

7 0

3 years ago

30 PTS Why is the development of small motor skills so important during the preschool years?

sukhopar [10]

So kids do not struggle as they get older. As younger kids, their brain is still developing.

3 0

4 years ago

When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?

Kay [80]

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

7 0

3 years ago

Line PQ is parallel to line RS<br> ∠MOQ=65°<br><br><br> What is ∠RTN=

zalisa [80]

Answer:

Step-by-step explanation:

MOQ = RTN

7 0

3 years ago