Which equation is equivalent to y-6=-12(x+4)A. y=-6x-48
B. y=6x-48
C. y=-12x-42
D. y=-12x-54

Answer:

Step-by-step explanation:

Let the equation of the line is y = mx + c

where m = slope = 3

and c = y-intercept

Now the equation of this line will become

y = 3x + c

Since this line passes through (2, )

so   = 6 + c

c =   - 6

  =  

So the line will be y = 3x +

Answer:

Step-by-step explanation:

Applying the formula for normal distribution,

z = (x - u)/s

Where u = mean

s = standard deviation

x = the monthly utility bill in dollars

From the information given,

s = 23

u = 121

The probability that a randomly selected utility bill is between $110 and $130 is expressed as

P(110 lesser than or equal to x lesser than or equal to 130)

For 110

z1 = (110 - 121)/23 = - 11/23

z1 = - 0.4783

Looking at the normal distribution table,

The corresponding z score is 0.3192

For 130

z2 = (130 - 121)/23 = 9/23

z2 = 0.391

Looking at the normal distribution table,

The corresponding z score is 0.65173

P(110 lesser than or equal to x lesser than or equal to 130) = 0.65173 - 0.3192 = 0.33253

4.7a+8.2a-6.5a=0

We simplify the equation to the form, which is simple to understand

4.7a+8.2a-6.5a=0

We move all terms containing a to the left and all other terms to the right.

+4.7a+8.2a-6.5a=0

We simplify left and right side of the equation.

+6.4a=0

We divide both sides of the equation by 6.4 to get a.

a=0

Answer is 1.7a

Hope it helped.

-Charlie

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.