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Vlad [161]
3 years ago
14

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.

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logan had a bank account balance of 287 he then deposit 35 and went on a shopping trip if he spends 78 what is his new balance a
gizmo_the_mogwai [7]
The answer is 244 because you add 35 to 287 then subtract 78 and it equals 244
6 0
3 years ago
BRAINLIEST if right!
Vaselesa [24]

Answer:

The equation:  2 + 1.75m < 35

Solution:  m < 10

Shannon can travel 10 miles or less

Step-by-step explanation:

You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.

3 0
3 years ago
Verify and show work<br><br> csc x - cos x • cot x = sin x
Vladimir79 [104]

Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

5 0
2 years ago
Is the common difference the same as the slope of a linear model?
dangina [55]
The common difference is the constant rate of change, or the slope of the function. We can construct the linear function if we know the slope and the vertical intercept. To find the y-intercept of the function, we can subtract the common difference from the first term of the sequence.
7 0
3 years ago
Identify the x- and y- intercepts of this equation. 5 − 4 = 20
Alinara [238K]

T he x and y intercepts of the equation: 5x-4y=20 are : y-intercept is (0,-5) and x-intercept is (4,0)

So, Option D is correct.

Step-by-step explanation:

we need to identify the x and y intercepts of the equation: 5x-4y=20

Finding x-intercept

For finding x-intercept put y=0

We are given the equation:

5x-4y=20

Solving:

5x-4y=20\\5x-4(0)=20\\5x=20\\x=\frac{20}{5}\\x=4

So, x-intercept is (4,0)

Finding y-intercept

For finding y-intercept put x=0

We are given the equation:

5x-4y=20

Solving:

5x-4y=20\\5(0)-4y=20\\-4y=20\\y=\frac{20}{-4}\\y=-5

So, y-intercept is (0,-5)

the x and y intercepts of the equation: 5x-4y=20 are :y-intercept is (0,-5) and x-intercept is (4,0)

So, Option D is correct.

Keywords: x and y intercepts

Learn more about x and y intercepts at:

  • brainly.com/question/1502731
  • brainly.com/question/11705002
  • brainly.com/question/1332667

#learnwithBrainly

6 0
3 years ago
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