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mariarad [96]
3 years ago
10

Use the discriminant to describe the roots of each equation. Then select the best description.

Mathematics
1 answer:
wariber [46]3 years ago
4 0
The Discriminant of a quadratic is defined by ⇒     b² - 4ac

In our case:  
a = 1   b = -4  and c = 4

Evaluate the Discriminant:  (-4)² - 4(1)(4) = 16 -16 = 0
Summary of the what the Discriminant tells us:  
If:  
D = a positive value, then we would have two real roots
D = a negative value, then we would have no real roots
D = 0 we would exactly one real root.. 
In our case D = 0.. so that would imply exactly one real root, or in other words choosing from your list of options chose "double root"
You could also verify this by factoring the quadratic into (x - 2)(x -2) implying the double root of '2'

You might be interested in
What is the slope of a line that is perpendicular to the line y= 1/3 x - 2
drek231 [11]

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 2 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

4 0
3 years ago
Frank wrote these ratios to describe the number of votes each candidate received compared to the total. Which one is wrong, and
strojnjashka [21]

Answer:The right answer is (B)

Step-by-step explanation:

Your welcome

3 0
3 years ago
A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.
docker41 [41]

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

7 0
3 years ago
How does algebra affect how people can learn from each other?
pantera1 [17]

Algebra is Faster And Better Than “Basic” Math

Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.

3 0
2 years ago
3 1/2 • 4 3/4 please help
Dmitry [639]

Answer: 16 5/8

Step-by-step explanation:

3 1/2 = 7/2

4 3/4 = 19/4

7/2 * 19/4 = 133/8 or 16 5/8

3 0
3 years ago
Read 2 more answers
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