Answer:
False.
Step-by-step explanation:
Apex
Answer: Domain (-∞,∞) ; range: (0,∞)
Step-by-step explanation:
1. The exponential functions with the form
has domain of all real numbers, becaure there is no values in the set of real number for which the value of
is not define. When
approches to ∞, the function approches to ∞.
2. When
approches to -∞, the function approches to 0 but never touches it. This means that
is always greater than zero (
). Therefore, the range of the function is (0,∞).
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer: $15.00 per person.
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Explanation:
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Given that there are "4 people" (that is, "Kianna and three friends");
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and a total of "$58.49" ; to be divided equally among 4 (four) people;
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we are asked to <em><u>estimate</u></em> the amount that EACH person will pay.
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For an <em><u>ESTIMATE</u></em>, $58.49 is ABOUT $60.00; or "60 dollars". ;
and (60 dollars) / 4 = 15 dollars {$15; or $15.00}.
60/4 = 15; or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
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Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions