1. You have two playing cards with a sum of (−12) in your hand.
1 answer:
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The given expression is
We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is
The formula of discriminant is
Substituting the values of a,b and c, we will get
And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
Answer:
The equation that best models this situation is :
b.
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Given:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
<em>Let length of the trip of Train W be </em>= miles
Speed of Train W can be given as :
⇒
⇒
<em>So, the length of the trip of Train Z will be</em> = miles
Speed of Train Z can be given as :
⇒
⇒
Since the speeds are same, so the equation to find can be given as:
⇒
Solving for
Multiplying both sides by 100 to remove fractions.
⇒
⇒
Using distribution.
⇒
Subtracting both sides by
⇒
⇒
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = = 2,000 miles
the numbers are 6 and 13
let x be one of the numbers then the other is 2x + 1
their sum increased by 7 = 26
x + 2x + 1 + 7 = 26
3x + 8 = 26
subtract 8 from both sides
3x = 26 - 8 = 18
divide both sides by 3
x = = 6
the numbers are 6 and (2 × 6) + 1 = 12 + 1 = 13