What are the values of x in the equation x(x-6)=4(x+6)

Answers

Answer 1

Answer: x(x-6)=4(x+6)

Multiply out:

x² - 6x = 4x + 24

x² - 6x - 4x - 24 = 0

x² - 10x - 24 = 0

This is a quadratic equation

x² - 10x - 24 = 0 Divide through by 2

Multiply first and last coefficients: 1*-24 = -24

We look for two numbers that multiply to give -24, and add to give -10

Those two numbers are -12 and 2.

Check: -12*2 = -24 2 + -12 = -10

We replace the middle term of -10x in the quadratic expression with 2x -12x

x² - 10x - 24 = 0

x² + 2x - 12x - 24 = 0

x(x + 2) - 12(x + 2) = 0

(x + 2)(x - 12) = 0

x + 2 = 0 or x - 12 = 0

x = 0 -2 x = 0 + 12

x = -2 x = 12

The solutions are x = -2 or 12

Answer 2

Answer: x la patrat - 6x = 4x+24<=>x la a doua -10x-24=0
D= 100-4×1(-24)
D=100+96
D=196
X1,2= 10 plus minus 14 : 2 <=>X1=10-14:2=-2 and X2= 10+14:2= 2

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Point B ∈ AC . Points K, M, N, and P are the midpoints of AB , AC , MC , and NC , respectively. Write a congruency statement for each pair of congruent segments.

Answers

Answer:

AK = BK, AM = CM, MN = CN, NP = CP

Step-by-step explanation:

B ∈ AC

Points K, M, N, and P are the midpoints of AB , AC , MC , and NC

Then

K is midpoint of AB ⇒

AK = BK

M is midpoint of AC ⇒

AM = CM

N is midpoint of MC ⇒

MN = CN

P is midpoint of NC ⇒

NP = CP

The government’s claims that students earn an average of $4,500 during their summer break from studies. A random sample of students gave had a sample average of $3,975 and a 95% confidence interval was found to be $3,525 < µ < $4,425. This interval is interpreted to mean that:a. because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500.b. if we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500.c. if we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students.d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Answers

Answer:

d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Step-by-step explanation:

95% confidence interval $3,525 < µ < $4,425 suggests that (choice d) there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

This result also suggests that (choice a) the true average summer earnings is not $4500, because our specific confidence interval does not contain the value $4500. But 95% probability is about the interval $3,525 < µ < $4,425, not the value $4500.

How many solutions are there to the equation 12x 6=5x

Answers

I'm pretty sure the answer would be 1, since it does look linear

The probabilities of a test are represented by I for infected; U, uninfected; D, infection detected; and N, no infection detected. What is the symbolic way to represent the probability of a true positive? P(I⋂D) P(I⋂D)P(D) P(U⋂N)P(N) P(I⋃D)

Answers

Answer:

The symbolic way to represent the probability of a true positive is:

P(I∩D)

Step-by-step explanation:

The representation is given as follows:

I for infected; U, uninfected; D, infection detected; and N, no infection detected.

We are asked to find which expression represents the probability of a true positive.

i.e we are asked to find the probability that a person who is infected is also detected.

Let P denote the probability of an event.

Hence, the expression is:

P(I∩D)

$\mathbb P(I\cap D)$

Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.

Answers

Answer:

the probability is 0%

Step-by-step explanation:

is there options like

options

What is the surface area of a mini basketball with a circumference.of 25 and radius of 4

Answers

The formula to find the surface area of a sphere is A=4(3.14)r². So if you plug in the data you would get,
A=4(3.14)4²
A=(12.56) (16)
A=200.96
You mught want to check over it so you will be able to solve it for yourself the next time you have this question.

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