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Zepler [3.9K]
3 years ago
12

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num

ber of real solutions the equation has?
Mathematics
1 answer:
suter [353]3 years ago
8 0

We have been given an equation 0 = x^2-4x + 5. We are asked to find the discriminant of our given equation.    

We will use discriminant formula to solve our given problem.

D=b^2-4ac, where,

D = Discriminant,

b = Coefficient of x term,

a = Coefficient of x^2 term,

c = Constant.

D=(-4)^2-4(1)(5)

D=16-20

D=-4

When D is less than 0, then equation has no real solutions.

When D is equal to 0, then equation one real solution.

When D is greater than 0, then equation has two real solutions.

Since -4 is less than 0, therefore, our given equation has no real solutions.

You might be interested in
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
Naya [18.7K]

The value of x in the equation is 26. 087

<h3>What are algebraic expressions?</h3>

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

  • Bracket
  • Division
  • Addition
  • Subtraction
  • Parentheses
  • Multiplication and so on

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

4 0
1 year ago
Which sentence best describes the interval [-2,1]
PolarNik [594]

Answer:

The function is increasing on the interval [-2,1]

Step-by-step explanation:

6 0
3 years ago
I will give BRAINLIEST! HELP PLEASE.!!!<br><br> 2. Find each measure. <br> m&lt;1 m&lt;2 m&lt;3
fredd [130]
<h3>Answer: Choice B</h3>

Angle 1 = 147 degrees

Angle 2 = 80 degrees

Angle 3 = 148 degrees

======================================================

Work Shown:

(angle 1) + 33 = 180

angle 1 = 180-33

angle 1 = 147 degrees

---------------

Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees

The angle exterior to this 100 degree angle is angle 2

angle 2 = 180-100 = 80

We have enough info to conclude the answer must be choice B.

---------------

Let's keep going to find angle 3

The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right

This triangle on the right has interior angles 100 and 48

The missing interior angle is 180-100-48 = 32

The angle supplementary to this is 180-32 = 148, which is angle 3.

5 0
3 years ago
Which of these relationships would most likely have a NEGATIVE correlation?
Luda [366]
<h3>Answer:  Choice C</h3>

Explanation:

As the person spends more time raking, the number of leaves will go down. Therefore, we have a negative correlation. Such correlations occur when one variable goes up while the other goes down (and vice versa).

The reason why it's considered negative correlation is because the regression line has a negative slope.

This is why choice C is the answer. This assumes that no extra leaves fall on the ground, and we assume that we don't have nearby leaves blow into the yard.

In contrast, something like choice A has both variables go up together. As the temperature rises, so does the ice cream sales. The same goes for choice B. We consider these cases to have positive correlation. Choice D doesn't appear to have any correlation at all. The person's height doesn't have any connection to the number of pets they may have.

3 0
2 years ago
Read 2 more answers
It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take
nirvana33 [79]
To make it easier, you calculate the volume of the first aquarium.

1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches

Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
 
2nd aquarium's rate:
18,270 in./39 min.

As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
7 0
3 years ago
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