3 years ago

How many real solutions does this system of equations have? xy = 9 y = 3x - 1

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

Answer:

two real, unequal roots

Step-by-step explanation:

y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:

x(3x - 1) = 9. Then:

3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.

Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.

You might be interested in

How much times does 42 go into820

kirill115 [55]

You divide 820 by 42 and the answer comes out to be 344.4 it has a decimal because it doesn't divide equally

5 0

2 years ago

Read 2 more answers

What is 8 meters increased by 25 percent

Lorico [155]

25% is 1/4 so you do 8 times 1/4 and that's 2.

8 0

2 years ago

Ms.Henderson is using triangles in her graphic design project.The triangles are isosceles.One had a base of 4 inches and legs of

tester [92]

If the two triangles are similar you can use a proportion to solve for the length of the legs.
$\frac{2}{4}$ = $\frac{x}{9}$
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.

4 0

2 years ago

Can u help me understand this and solve it im so confused

kaheart [24]

Answer:

what is the topic?

Step-by-step explanation:

3 0

2 years ago

What is the volume of the solid?

beks73 [17]

It is actually not 28 because the volume of a cylinder is: pi r^2 x h which in this case is pi x 36 x 4 which equals 452.39 rounded up

7 0

3 years ago