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IgorLugansk [536]
3 years ago
14

How many and what type of solutions?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
Hello,

2k²-3k-9=0
==>k=3 or k=-3/2

Answer C two rational solutions.
You might be interested in
What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
2 years ago
Juan fode his bike 2/3 mile to school,1/3 mile to the library,2/3 mile home far did he ride altogether
Viktor [21]

Answer:1 2/3

Step-by-step explanation:

2/3+1/3+2/3=5/3=1 2/3

7 0
3 years ago
The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?
yaroslaw [1]

Answer:

  y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

  y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

  y = 3/5(x +10)

  y = (3/5)x + 6

5 0
3 years ago
From the beginning of the day the temperature rose 15° so that by 4 pm it was 87°. What was the temperature at the start of the
dezoksy [38]
The answer would be 72 degrees because it rose 15 from the begining

3 0
3 years ago
The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining roo
neonofarm [45]

Answer:

4

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16    CORRECT

And....

P = S + S + S + S                                                         ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0
3 years ago
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