MATHEMATICS HIGH SCHOOL

Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2 – 4ac

Answers

Answer 1

Answer:

Answer:

There are two real, distinct roots to the quadratic equation .

Step-by-step explanation:

Given : -2x² + 3 = 0.

To find : Determine the discriminant and how many real number solutions does the equation have.

Solution : We have given -2x² + 3 = 0.

On comparing ax²+bx +c = 0

Discriminant = b² - 4ac

Where b = -2 , c = 3

Plugging the values

D = ( -2)² - 4 ( -2) ( 3) .

D = 4 + 24 .

D = 28 > 0

If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.

Therefore, There are two real, distinct roots to the quadratic equation .

Answer 2

Answer: Hello,

Δ=0-4*(-2)*3=24

2 real solutions

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HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph y>1−3x.

Answers

Answer:

The last graph

Step-by-step explanation:

This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.

Hope this helps. Please inform me if my answer is wrong.

Answer:

The last graph is correct

Step-by-step explanation:

Hello,

First of all, you need to identify the line y = -3x + 1

This is a line so two points are enough to identify it.

-3*0+1 = 1 so (0,1) is a point of this line and

-3*1 + 1 = -2 so (1,-2) is another point of this line.

I attached a graph of this line.

Now, the inequality is y > 1-3x

It means that we are looking for the part of the plan which is (strictly) above this line.

This is not ( $\geq$ ) inequality but a strict equality ( > ) so the points of the line are not included, so the last graph is the correct one.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Solve the inequality: 3. n - 23 < -2.5

Answers

Answer:

$\Huge \boxed{\boxed{\bf{n < 20.5}}}$

Step-by-step explanation:

To solve the inequality $\tt{n - 23 < -2.5 }$ , we want to isolate the variable $\tt{n}$ .

Let's begin by adding 23 to both sides of the inequality:

$\tt{n - 23 + 23 < -2.5 + 23}$

This simplifies to:

$\tt{n < 20.5}$

Therefore, the solution to the inequality is $\bf{n < 20.5}$ .

#BTH1

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Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?4x2 + 22x − 1 = 0
4x2 + 22x + 31 = 0
x2 + 11x − 1 = 0
x2 + 11x + 31 = 0

Answers

Option c) x² + 11x - 1 = 0 is the correct quadratic equation that can be used to determine the thickness of the frame.

In this problem, Emily wants to hang a painting in a gallery, and she needs to determine the thickness of the frame, denoted by "x," surrounding the painting. The painting and frame together should have an area of 31 square feet. The dimensions of the painting are given as 5 feet in width and 6 feet in length. To find the equation that will help us determine the thickness of the frame, we need to set up a quadratic equation based on the given information.

Let's start by visualizing the problem. The painting is a rectangle, and the frame around it will also form a rectangle. So, we can find the area of the frame by subtracting the area of the painting from the total area of the painting and the frame.

The area of a rectangle can be calculated by multiplying its length and width. For the painting, we have:

Painting's area = Length * Width

= 6 feet * 5 feet

= 30 square feet

Now, we know that the total area of the painting and frame together is 31 square feet. So, we can set up the following equation:

Total area (painting + frame) = Painting's area + Frame's area

31 square feet = 30 square feet + Frame's area

Frame's area = 31 square feet - 30 square feet = 1 square foot

The frame's area is given by the product of its width (which is the thickness "x") and the length of the painting (6 feet):

Frame's area = x * 6 feet

Since the frame's area is equal to 1 square foot, we can write:

x * 6 = 1

Now, let's rearrange the equation to set it to zero on one side:

6x - 1 = 0

We have now derived the quadratic equation that represents the problem:

6x - 1 = 0

The correct answer is not directly provided among the options. However, let's manipulate the equation to put it in standard quadratic form (ax² + bx + c = 0):

Multiply the equation by -1 to change the sign of each term:

-6x + 1 = 0

Now, it matches option c) x² + 11x - 1 = 0.

Thus, option c) is the correct quadratic equation that can be used to determine the thickness of the frame, "x," for the given problem.

To know more about Quadratic Equation here

brainly.com/question/17177510

#SPJ2

The correct answer is 4x2 + 22x − 1 = 0

That's what you get when you (5 + 2x)(6 + 2x) = 31

And you get to expand that based on the data that is already provided in the question.

List three multiples of 9.

Answers

Three multiples of 9 are :9,18,27,36. They are mutiples of 9 because their digits sum is nine and all are exact number of 9 too.

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.How much fencing will he need? Round to the nearest foot.