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Debora [2.8K]
3 years ago
13

Factor 6y 2 - 48 + 42y. (6y + 8)(y - 6) 6(y + 8)(y - 1) 6(y - 1)(y - 7)

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

astraxan [27]3 years ago
3 0

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

Factor the following:

6 y^2 + 42 y - 48

Factor 6 out of 6 y^2 + 42 y - 48:

6 (y^2 + 7 y - 8)

The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):

Answer: 6 (y + 8) (y - 1)

PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48  NOT

6y 2 - 48 + 42y

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Find the zeros of the function. Enter the solutions from least to greatest.
Harman [31]

9514 1404 393

Answer:

  x = 5, x = 11

Step-by-step explanation:

Set f(x) = 0 and solve for x.

  0 = (x -8)² -9

  9 = (x -8)² . . . . . add 9

  ±√9 = x -8 . . . . . take the square root

  ±3 +8 = x . . . . . . . add 8

That is, ...

  x = 8 -3 = 5 . . . . lesser x

  x = 8 +3 = 11 . . . greater x

3 0
3 years ago
Does -2(z+3)-z=-z-4(z+2) have one,zero or infinite solutions
Andrew [12]

Hello from MrBillDoesMath!

Answer:

One solution (z = -1)

Discussion:

-2(z+3)-z=-z-4(z+2)        =>

-2z -6 -z = -z -4z - 8       =>

-3z -6 = -5z -8                =>  add 6 to both sides

-2z = -5z -2                     => add 5z to both sides

3z = -5z +5z -3               =>

3z = -3                            =>

z = -1

Thank you,

MrB

6 0
3 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
Dividing circumference with radius
uranmaximum [27]

If you divide the circumference C over the radius r, you get 2pi

2pi = C/r

this is because

C = 2pi*r

is one formula to find the circumference. Another formula is

C = pi*d

which works because d = 2r, ie the diameter is twice the radius.

7 0
3 years ago
How many solutions are there to the quadratic equation
Ray Of Light [21]

Answer:

2

Step-by-step explanation:

(-7)^2  -  4*3 *(-2) =   49 + 24  >0

discriminant is positive so 2 real roots

8 0
3 years ago
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