MATHEMATICS HIGH SCHOOL

Which is the graph of a quadratic equation that has a negative discriminant?

Answers

Answer 1

Answer:

Answer:

The correct graph is D.

Step-by-step explanation:

Given a quadratic equation :

$y=ax^(2)+bx+c$

You can find the roots (where the graph intersects the x-axis) applying the following equation :

$x1=\frac{-b+\sqrt{b^(2)-4ac}}{2a}$

and

$x2=\frac{-b-\sqrt{b^(2)-4ac}}{2a}$

We define the discriminant as $b^(2)-4ac$

If $b^(2)-4ac>0$ then the graph will intersect the x-axis in two points

If $b^(2)-4ac=0$ then the graph will intersect the x-axis in one point.

Finally, If $b^(2)-4ac<0$ then the graph won't intersect the x-axis because it will not have real roots.

In this exercise, the graph that doesn't intersect the x-axis is graph D.

Answer 2

Answer:

Answer:

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

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The ratio of girls to boys in one of Mr. Pryslak's grade 9 Mathematics dasses is 4:3. If there are 9boys in the class, how many girls are there?
Help me

Answers

Answer:

12 girls

Step-by-step explanation:

So the ratio of girls to boys is 4:3 and if there are 9 boys you multiply the number 3 by 3 to get 9 and do the same to the other side to get 12

Consider the graph of f(x) = 2x 3 – 3x 2 – 14x. On a coordinate plane, a graph increases through (negative 2, 0) to (negative 1, 10), decreases through (0, 0) to (2, negative 24), and then increases through (3.5, 0) through (4, 20). Based on the graph, what is the solution to 2x 3 – 3x 2 ≥ 14x?

Answers

Answer:

Answer D

Step-by-step explanation:

Final answer:

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

Explanation:

The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.

Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

Learn more about Inequalities here:

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Answer this question to get marked as barinliest!!!!

Answers

Answer:

the third one

Step-by-step explanation:

Answer: C

Step-by-step explanation:

A washer and a dryer cost $814 combined. the washer costs $36 less than the dryer. what is the cost of the dryer?

Answers

This is a systems of equation problem.
First, set up the equation.
814=w+d w=d-36

Second, insert w= in for w in the equation.
814=d-36+d

Third, combine like terms.
814=2d-36

Fourth, solve the equation by adding 36 and dividing by 2 to both sides.
814=2d-36
+36 +36
___________
850=2d
----- ----
2 2

__________
425=d

So the dryer (d) costs $425.

Suppose Galileo and his assistant were 1 km apart when Galileo uncovered his lantern to try to measure the speed of light. How long would it have taken the light signal to reach his assistant?

Answers

There are many theories and measurement for the speed of light. It is believed that light travels at 299,792 km per second. In the earlier day philosopher Aristotle believed that light didn't travel but happens instantaneously. Therefore, for Galileo and his assistant to be only 1km apart, I would have to agree with Aristotle theory of light traveling instantaneously.

You guys can help me plz idc if you explain

Answers

Y=Mx+b is the answer for 15 I think