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4 years ago

Is the discriminant positive negative or zero?

Mathematics

1 answer:

vitfil [10]4 years ago

6 0

Answer:

Sorry the picture is blocked on my chromebook but i hope this helps

Step-by-step explanation:

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

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(3 × 1,000) + (4 × 100) + (5 × 10) + (2 × 1)

aliina [53]

Answer:

3452

Step-by-step explanation:

Simplify the expression, and add/muiltiply where necessary.

4 0

2 years ago

Read 2 more answers

Is the following a proportion? Yes or no? 6/9 = 14/21

tresset_1 [31]

I think it's not, because for proportion, you use the given clues to solve for a value or an unknown number.

4 0

3 years ago

Analyze the following table of values and select the true statement.

Yuri [45]

The relationship is linear becuase it all equals each other

7 0

3 years ago

33)

Damm [24]

Answer:

33 is C

Step-by-step explanation:

I just did the test. not sure about the other ones tho

7 0

3 years ago

100 POINTS please show your work

Anon25 [30]

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Part A

Set f(x)=0 and factor the expression by grouping:

$f(x)=2x^2-3x-5\\\\0=2x^2-3x-5\\\\0=2x^2+2x-5x-5\\\\0=2x(x+1)-5(x+1)\\\\0=(2x-5)(x+1)$

Use the Zero Product Property to find the x-intercepts:

$0=2x-5\\5=2x\\x=\frac{5}{2}$

$0=x+1\\x=-1$

Hence, the x-intercepts for the graph of f(x) are $x=-1$ and $x=\frac{5}{2}$ .

Part B

Find the x-coordinate of the vertex:

$x=-\frac{b}{2a}\\ \\x=-\frac{(-3)}{2(2)}\\\\x=\frac{3}{4}$

Find the y-coordinate of the vertex:

$f(\frac{3}{4})=2(\frac{3}{4})^2-3(\frac{3}{4})-5=-\frac{49}{8}$

Hence, the vertex is $(\frac{3}{4},-\frac{49}{8})$ . We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.

Part C

You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is $f(0)=2(0)^2-3(0)-5=-5$ , or $(0,-5)$ as an ordered pair. See attached graph.

8 0

2 years ago