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Zina [86]
3 years ago
7

The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

Answer:

x=-1 or x=5

Step-by-step explanation:

let the number be 'x'.

According to the statement given above:

x^2-5=4x

or

x^2-4x-5=0

Factorizing the quadratic equation for 'x'

x^2+x-5x-5=0

Taking common from the equation:

x(x+1)-5(x+1)=0\\(x+1)(x-5)=0\\(x+1)=0, (x-5)=0\\x=-1,x=5

The solution of the equation is x=-1 or x=5

ivann1987 [24]3 years ago
8 0

Answer:

its -1 because i know it

Step-by-step explanation:

You might be interested in
"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particul
Galina-37 [17]

Answer:

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173

b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106

when p = 0.6, P(X > 15) = 0.4246

c) Check Explanation

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Step-by-step explanation:

p is the true proportion of houses with smoke detectors and p = 0.80

The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.

If X is the number of homes with detectors among the 25 sampled

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = less than or equal to 15

p = probability of success = probability that a house has smoke detectors = 0.80

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20

P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733

b) Probability of not rejecting the claim when p= 0.7 when p= 0.6

For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = more than 15

p = probability that a house has smoke detectors = 0.70, then 0.60

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30

And 1 - 0.60 = 0.40

P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)

When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106

When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246

c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.

The error probabilities include the probability of the claim being false.

When X = 15

(Error probability when p = 0.80) = 0.0173

when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894

when p = 0.60, error probability = 1 - 0.4246 = 0.5754

When X = 14

(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555

when p = 0.70, error probability = P(X ≤ 14) = 0.0978

when p = 0.60, error probability = P(X ≤ 14) = 0.4142

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Hope this Helps!!!

6 0
3 years ago
Plz help ASAP I need to find the slope of the line
dmitriy555 [2]
Use formula y2-y1 over x2 - x1

3-0/4-0

3/4 is ur answer
3 0
3 years ago
Read 2 more answers
Complete the following statement: f(3)=_____
victus00 [196]
Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original. 

f(x) = 2x^2 + 5sqrt(x - 2) 

Now place 3 in for each x. 

f(3) = 2(3)^2 + 5sqrt(3 - 2)

Now square the 3.

f(3) = 2(9) + 5 sqrt(3 - 2)

Do the subtraction inside of the parenthesis. 

f(3) = 2(9) + 5sqrt(1)

Take the square root

f(3) = 2(9) + 5(1)

Multiply. 

f(3) = 18 + 5

And add. 

f(3) = 23

4 0
3 years ago
Triangles ADE and ABC are similar. What is the value of
musickatia [10]

Answer:

x=4

Step-by-step explanation:

in image 1 /2

explanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image above

4 0
3 years ago
Please help problem is in the image.
nika2105 [10]

Answer:

16.5

Step-by-step explanation:

this is beacuse 16.5 times 2 is 33

5 0
3 years ago
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