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Papessa [141]
3 years ago
15

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of r

eal number solutions the equation has?
The discriminant is equal to −16, which means the equation has no real number solutions.
The discriminant is equal to −16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.
Mathematics
2 answers:
stiv31 [10]3 years ago
9 0

Answer:

The discriminant is equal to −16, which means the equation has no real number solutions.

Step-by-step explanation:

\text{Given the quadratic equation }-1=5x^2-2x

we have to find the number of real number solutions the equation has.

The equation is

5x^2-2x+1=0

\text{Comparing above equation }ax^2+bx+c=0

a=5, b=-2, c=1

To find number of real solutions we have to find the discriminant

D=b^2-4ac

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

D=4-20=-16

The value of discriminant is -16<0

Hence, the equation has no real roots.

Hence, option 1 is correct

exis [7]3 years ago
7 0

-The equation is actually

5x^2 -2x+1=0;

-The discriminant is b^2 -4ac=4-4•5•1=4-20=-16

-this means that the equation has no real number solutions

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X * 3 &lt; 5 <br> solve for x
Nezavi [6.7K]

Answer:

the answer is X<5/3 correct me if i'm wrong

Step-by-step explanation:

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3 0
3 years ago
Please help I don’t know if I’m doing this correctly
solmaris [256]

Answers:

  1. Exponential and increasing
  2. Exponential and decreasing
  3. Linear and decreasing
  4. Linear and increasing
  5. Exponential and increasing

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

Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x where b is the base of the exponent and 'a' is the starting term (when x=0).

If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.

If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.

In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.

Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.

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

Problems 3 and 4 are linear functions of the form y = mx+b

m = slope

b = y intercept

This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.

If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.

On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.

Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.

7 0
1 year ago
Janet collected 4 times as many bags of cans as her friend. If her friend collected 0.87 of a bag,
Jobisdone [24]

Answer:

Janet collected 3.48 bags of cans

Step-by-step explanation:

The answer is 3.48 because 0.87 multiplied by 4 is 3.48

8 0
3 years ago
Read 2 more answers
Find the measure of each acute angle in the figure.
Artist 52 [7]

Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

Find:

All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

7x = 84

x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°

4 0
2 years ago
In the fridge hannah had 2/3 ofa quart of milk she used half of this milk whenshe had breakfast cereal,how much milk did she use
love history [14]
2/3 = 4/6

4÷2 = 2

2/6 = 1/3

Hannah used 1/3 of a quart of milk.

Hope this helps!
6 0
3 years ago
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