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worty [1.4K]
3 years ago
10

Write an equation for a linear function whose graph has the given characteristics.

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

y-1=1/4(x-8)

x-4y-4=0

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3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.
umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

7 0
1 year ago
Y = x ^3 - 5x² +16x-80
Leokris [45]

Answer:

(x-5)(x^2+16)

3 0
3 years ago
Find AM in the parallelogram
n200080 [17]

Answer:

AM = 6

Step-by-step explanation:

Using the property of a parallelogram

• The diagonals bisect each other

MO is a diagonal, hence

AM = AO = 6

5 0
3 years ago
What is the midpoint of the segment with two endpoints (4,-6) and (-2,-3)? Put your answers in decimal from, if applicable.
Ber [7]
Answer: 1,-4.5

Explanation: you can find this by finding the difference in y and the difference in x. The difference in x is -6, and the difference in y is +3. All you have to do after that is divide that by 2: -3,1.5, than add that to the first coordinate. That should be the midpoint.
4 0
1 year ago
Joseph owns v video games. Harry owns 10 fewer than two times the number of video games that Joseph owns. Which expression repre
Tomtit [17]

Answer:

v=30

Sure hope this helps you

8 0
2 years ago
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