Answer:
5
Step-by-step explanation:
range is all possible y values of a function
X² + 5x - 14 = 0
(x-2)(x+7) = 0
x - 2 = 0
x + 7 = 0
x = 2
x = -7
Your answer is B.
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Next question.
2x² - 4x - 6 = 0
a = 2
b = -4
c = -6
And is D.
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Next question
If the discriminant is positive, then there will be 2 solutions.
Your answer is C.
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Next question
Plugging in the equation into the quadratic formula should get you answer choice A.
(C) 
fraction of the marbles now in the bag is blue.
<h3>
What is a fraction?</h3>
- A fraction is a portion of a whole or, more broadly, any number of equal parts.
- In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
- A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
- Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
To find what fraction of the marbles now in the bag is blue:
- Important information is that immediately before the last step blue marbles formed
from the marble in the bag. - That means that there were
blue and 
other marbles, for some . - When we double the number of blue marbles, there will be
blue and other marbles. - Hence, blue marbles now form all marbles in the bag.
Therefore, (C) fraction of the marbles now in the bag is blue.
Know more about fractions here:
brainly.com/question/17220365
SPJ4
Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
Answer:
2 km/h
Step-by-step explanation:
Let
Rate of river current = x km/h
Speed of Peter's boat = 4x km/h
He takes 15 km trip up (opposite direction)
His speed upstream = 4x - x
= 3x
His speed is 3x and distance is 15 km
Time = Distance / Speed
15/3x
= 5/x
And
Moving downstream (same direction)
Speed will be 4x + x = 5x
Distance = 15km,
speed = 5x
Time = Distance / Speed
= 15/5x
= 3/x
Total time take for trip = 4 hours
Total time take for trip = upstream + downstream
4 =5/x + 3/x
4 = 8/x
Cross product
4 * x = 8
x = 8/4
x = 2
Rate of river current = x km/h
= 2 km/h
Let's call Frank's house F, Derek's one D n Evan's E.
F(5,-4)
E(-3,-4)
D(-3,4)
FE=5-(-3)=5+3=8
ED=4-(-4)=4+4=8
We can see the triangle is a half of a square, so FD is 8(√2)≈11.312
11.312+8=19.312
The answer is C.19.31
