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amm1812
3 years ago
10

Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer

Mathematics
2 answers:
uysha [10]3 years ago
8 0

Answer:

(2,-3) is not a solution to the equation

Step-by-step explanation:

To determine if a point is a solution to the equation, we substitute the point into the equation.  If it is true, then it is a solution, if it is false, then it is not.

y = 4x -5

-3 = 4(2) -5

-3 = 8-5

-3 = 3

This is false , so (2,-3) is not a solution to the equation

solong [7]3 years ago
5 0
<h3>Answer: No it is not a solution </h3>

Here is why:

The ordered pair (2,-3) means x = 2 and y = -3 pair up together

Let's plug these x and y values into the equation to get...

y = 4x - 5

-3 = 4*2 - 5 .... replace  with 2, replace y with -3

-3 = 8 - 5

-3 = 3 .... we end up with a false equation

Since we get a false equation at the end, this means the original equation is false too. So y = 4x-5 is false when (x,y) = (2,-3) meaning that this point is not on the line. So this point is not a solution.

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An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497
ollegr [7]

Here we are given the information that an insurance agent receives 16% commission on every premium paid.

Now we are given that a premium of $497.69 is paid.

Let us say $x is the commission paid on the policy with a premium of $497.69.

Let us try to find the amount x here.

So we have to find 16% of 497.69 to get the commission amount x.

So finding 16% of 497.69.

x= 16% of 497.69 = 0.16*497.69 = 79.63

Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.

7 0
4 years ago
Read 2 more answers
AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED
Blizzard [7]

Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

n = 15, p = 0.85.

The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874

0.0874 = 8.74% probability that not enough seats will be available.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0
1 year ago
Patricia got a 5/25 balloon mortgage and her initial payments were $965. She
erastovalidia [21]

Answer:

$390,900

Step-by-step explanation:

Given:

Initial payment = $965

New rapayment = $925 when she decided to refinance her ballon payment with a 30 year mortgage

In this case, a 5/25 ballon mortgage simply means loan repayment for the first 5 years is at a fixed rate.

Which means the total amount she paid in the first five years was=

12 * 5 * $965 = $57,900

When she refinanced the payment with a 30 year mortgage, her total payment = $925 * 12 * 30years = $333,000

Total financed cost Patricia paid =

$57,900 + $333,000 = $390,900

7 0
4 years ago
If f(1) = 5, then (1,5) is an ordered pair of function f. True False​
zlopas [31]

Answer:

I think true

Step-by-step explanation:

i am not sure but f(1)=5 hereA=1 andB=5 so i belif this is true function

4 0
3 years ago
Read 2 more answers
Find the solution(s) to 2x2 + 5x - 3 = 0. Check all that apply.
Alika [10]

Answer:

x= 1/2 and x= -3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2+5x−3=0

Step 1: Factor left side of equation.

(2x−1)(x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or x+3=0

x=

1

2

or x=−3

3 0
4 years ago
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