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3 years ago

What are the solutions to the equation? n^2−8n+16=25

Mathematics

1 answer:

Monica [59]3 years ago

7 0

1. You have the quadratic equation n^2−8n+16=25 and to solve it, you must apply the proccedure below:

n^2−8n+16=25
n^2−8n+16-25=0
n^2−8n-9=0

2. When you factorize n^2−8n-9=0, you obtain the following:

(n-9)(n+1)=0

3. Therefore the values of n1 and n2 are shown below:

n1=9
n2=-1

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Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she

sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x = x²+ 4 - 4 x

(x-2)² = x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² = x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0

3 years ago

Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above

antiseptic1488 [7]

Answer:

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A and B occuring is 0 (because P(A∩B)= 0)

4 0

3 years ago

Can you guys please simplify the expressions?

Maksim231197 [3]

Here is your answer :)

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3 years ago

A one-way train ticket from New York to Los Angeles costs $197 for a reclining seat, and $490 for a twin-sharing room. How much

Alex777 [14]

The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars

Solution:

Given that,

Cost for reclining seat = $ 197

Cost for twin sharing room = $ 490

We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms

Cost for reclining room when "x" passengers booked is:

Cost for reclining room = $ 197x

Cost when One fifths y passengers booked twin-sharing rooms

Cost for twin sharing room = $\frac{1}{5} \times y \times 490$

Cost for twin sharing room = 98y

Total cost is given as:

Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

$Total\ cost = 197x + 98y$

Thus total cost is (197x + 98y) dollars

4 0

3 years ago

What is the solution to this system of equations?

Lady bird [3.3K]

3x+y=−11

3x+y+−3x=−11+−3x(Add -3x to both sides)

y=−3x−11

2x+2y=−10

2x+2(−3x−11)=−10

−4x−22=−10(Simplify both sides of the equation)

−4x−22+22=−10+22(Add 22 to both sides)

−4x=12

−4x

−4

(Divide both sides by -4)

x=−3

y=−3x−11

y=(−3)(−3)−11

y=−2(Simplify both sides of the equation)

Answer:

x=−3 and y=−2

D.(-3,-2)

8 0

4 years ago