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3 years ago

Describe how the discriminant of a quadratic equation is related to the number of real solutions the equation has.

2 answers:

5 0

If the discriminant of a quadratic equation, given by B^2-4AC is positive, it has 2 real solutions. If 0, it has 1 real solution and if negative it has 0 real solutions.

lutik1710 [3]3 years ago

4 0

<span>if it is positive it has real solutions if it is zero it has one real solution if it is negative it has two complex solutions</span>

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The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

3 years ago

Michael canned 4,713 quarts of blueberries over the summer. By the end of the year he had used 1/3 of what he had canned. How ma

aleksandr82 [10.1K]

Answer:

he used 1,571

Step-by-step explanation:

if you divide 4,713 by 3, you get 1,571 and that amount is equal to just 1/3 of the amount.

3 0

3 years ago

How can I get the anserw of 6.3 divided 0.7

gayaneshka [121]

You can use your calculator if you have one or do long division. just make sure to move the decimal so it looks like this: 63 divided by 7. you answer should be 9

6 0

4 years ago

Read 2 more answers

Rewrite the expression without using grouping symbols. 4(x – 2)

tangare [24]

out of these, it would be 4x - 4 * 2

7 0

3 years ago

the sum of two mixed numbers is 5 1/2. the differenceof mixed numbers is 3. both numbers have a denominator of 4. what are the t

Rudik [331]

Answer:

Step-by-step explanation: