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2 years ago

Factories 24a³ + 37a² – 5a

Mathematics

1 answer:

Semenov [28]2 years ago

4 0

Answer:

a(8a-1)(3a+5)

Step-by-step explanation:

24a³ + 37a² – 5a =

a ( 24a²+ 37a -5) =

a( 24a² +40a -3a -5) =

a [8a(3a+5) -1(3a+5) ]=

a(8a-1)(3a+5)

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The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x. What is the value of a? Enter y

Ilia_Sergeevich [38]

So fill out the coordinate with those given numbers, and count how far apart they are and you will get your answer. Then times it by x.

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3 years ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It does not find the probability for a range of successes, as in this case.

The range "x≤4" means x = 0 or x = 1 or x = 2 or x = 3 or x = 4, so there are five different probability calculations to do.

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are Mutually Exclusive. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

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3 years ago

What is the product of (a-5) and (a+3)

abruzzese [7]

= (a-5).(a+3) = a²+3a-5a-15 = a²-2a-15

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3 years ago

What is the range of this function? y =x + 1 - 8

diamong [38]

Answer:

range: {y | y>= -8)

Step-by-step explanation:

We have a radical here.

y = root( x + 1) - 8

y is defined as long as x+1 >= 0

so domain must be x > -1

y values would start from -8

and go upward.

range: {y | y>= -8)

7 0

3 years ago

What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18

Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1 ..................(i)

2x + 5y = 18 .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

$\frac{-13x}{-13}=\frac{13}{-13}$

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

4 0

3 years ago

Factories 24a³ + 37a² – 5a​

Factories 24a³ + 37a² – 5a