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nikitadnepr [17]
3 years ago
11

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

Mathematics
2 answers:
Anettt [7]3 years ago
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:

ok

Step-by-step explanation:

5'm

5 0
2 years ago
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