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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'

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d1i1m1o1n [39]

Answer:

See below

Step-by-step explanation:

Let the number of Payday be p and Baby Ruth be b

<u>Then sub of the candy bars:</u>

  • p + b = 220
  • Payday candy bars worth ⇒ $2p
  • Baby Ruth candy bars worth ⇒ $3b
  • Total ⇒ $600

1. <u>Required equations:</u>

  • p + b = 220
  • 2p + 3b = 600

2. <u>Solving by substitution:</u>

p = 220 - b, consider it in the second equation

  • 2(220 - b) + 3b = 600
  • 660 - 2b + 3b = 600
  • 660 + b = 600
  • b = 660 - 600
  • b = 60

60 Baby Ruth candy bars sold

4 0
3 years ago
Randy has 53 inches of ribbon that he cuts into 8 pieces of equal length. What is the length of each piece of ribbon, in inches?
maw [93]

Answer:

6.625 inches or 6 5/8 inches

and the drop down hopefully will let you choose "between 6 and 7 inches"

Step-by-step explanation:

53/8 = 6.625

0.625 = 5/8

Let me know if you have questions about this. Have a good night.

6 0
2 years ago
What is 12.25 as a fraction
Finger [1]

Answer:

\large\boxed{12.25=\dfrac{49}{4}}

Step-by-step explanation:

12.\underbrace{25}_{2}=\dfrac{1225}{1\underbrace{00}_2}=\dfrac{1225:25}{100:25}=\dfrac{49}{4}\\\\12.25=12+0.25=12+\dfrac{25}{100}=12+\dfrac{25:25}{100:25}=12+\dfrac{1}{4}\\\\=\dfrac{12\cdot4}{4}+\dfrac{1}{4}=\dfrac{48+1}{4}=\dfrac{49}{4}

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Answer:

i liked this it made me feel smart. but julie will ride further by 4/15 miles

Step-by-step explanation:

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