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statuscvo [17]
3 years ago
15

a graph includes the ordered pair (2,4). Write two different rules that would be possible for this graph

Mathematics
2 answers:
Paul [167]3 years ago
7 0
You could have ANY rule you want. Just substitute  for  and  for  but MAKE SURE THAT ONCE YOU SIMPLIFY IT, IT IS TRUE. Lets start making some equations! 

How about: 



If we substitute into it, we find it works.

How about:



By the way, if you substitute y and x into the equation above, you will find they also work. 

Thank you, and I hope this helped.

Sincerely,
Flowergirl1629957
Inessa [10]3 years ago
3 0
1. The coordinates are x=2 and y=4
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Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !
victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

2x^2+18x=20

x^2+9x=\frac{20}{2}

x^2+9x-10=0

ax^2+bx+c=0

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

D=b^2-4ac=(9)^2-4(1)(-10)=121

x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1

x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)

The solution of the given quadratic equation is 1 and (-10).

5 0
3 years ago
Which is the correct input-output table for the function g(x)=-1/2(4x+6)
Sonbull [250]

Answer: The third choice.

Step-by-step explanation: To find the first output, start with your first input. In this case, it's -2, so your equation would be g(-2)= -1/2(4(-2)+6). Start by solving inside the parenthesis. 4x-2=-8 and -8+6=-2. -1/2x-2= 1, so your first output should be 1. The only choice that has this is the third one, so that is your answer. Hope I could help :)

4 0
3 years ago
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
Show steps for <br> x+7=19
marishachu [46]

Answer:

x=12

Step-by-step explanation:

x+7=19

   -7   -7

x=12

7 0
3 years ago
Read 2 more answers
150 minutes per day = hours per week
RideAnS [48]
150 minutes / day for a week
= (150 minutes / day) * (7 days / week)
= 150 * 7 minutes / week
= 1050 minutes / week

(1050 minutes / week) * (1 hour / 60 minutes)
= (1050 / 60) hours / week
= (105 / 6) hours / week
= 17.5 hours / week

You could also convert to hours first. 150 minutes = 2.5 hours * 7 days = 17.5 hours per week.
4 0
3 years ago
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