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sesenic [268]
3 years ago
7

The equation of line p is y=ax+b. Which of these could be the equation of line q? A.y=−3a(x+6)+b

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0
The slope of line q is that of line p scaled by a factor of 3 (not -3). The y-intercept of line q is 6 less than the y-intercept of line p. The appropriate choice is
  D. y = 3ax +b -6
son4ous [18]3 years ago
6 0

Answer:

Equation of line q:  y=3ax+b-6

D is correct.

Step-by-step explanation:

The equation of line p is y=ax+b

Blue line is the graph of line p.

In graph we can see slope is positive and y-intercept (0,5)

So, a>0 and b=5

Passing point of p is (-2,1)

We can find the value of a also

1=-2a+5

a=2

The equation of line p: y=2x+5 ( Blue Line)

Now, we find the equation of line q using blue line.

The slope of line q is positive and greater than 2

Possible options are C and D because A and B are negative slope.

y-intercept of red line is (0,-1)

y-intercept of p (0,5)

y-intercept of q (0,-1)

If we shift 6 unit down of line p to get line q

y=3ax+b-6 (Red line)

Hence, The equation of line q is y=3ax+b-6

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3 years ago
Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Amiraneli [1.4K]

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

 

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

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If the order doesn't matter =

12/2 = X

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Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

3 0
3 years ago
Please please please help fast this is a BIG deal
aniked [119]

Answer:

190.625 ft^2

Step-by-step explanation:

A = bh = (15.25) * (12.5) = 190.625 ft^2

5 0
3 years ago
Read 2 more answers
Multiply ( + 2) (2 – )
Elina [12.6K]

Answer:

-4

Step-by-step explanation:

('+')('-') = ('-')

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(+2)(-2) = (-4)

7 0
2 years ago
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
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