Identify the domain and range of each function.y = 3 • 5x
The domain of this function is ?
negative infinity to zero
0 to infinity
negative infinity to infinity
The range of this function is?
0 to infinity
3 to infinity
negative infinity to infinity
Answers
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
A.) 0 to infinity
Y=4^x-5+3
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
B.) 3 to infinity
Final answer:
For the function y = 3 • 5x, the domain is all real numbers (negative infinity to infinity) and the range is all real numbers from zero to infinity.
Explanation:
In mathematics, the domain of a function is the complete set of possible values of the independent variable. In the case of the function y = 3 • 5x, the independent variable is 'x' which can take any real number. Therefore, the domain of this function is from negative infinity to infinity.
The range of a function is the complete set of possible values of the dependent variable. In this function, the dependent variable is 'y', which increases as 'x' increases. Because the lowest value y can take is 0 (when x is 0), the range is from 0 to infinity.
Learn more about Domain and Range here:
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Round 7.467 to the nearest hundredth
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A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee? Write this problem in an equation.
Answers
the small number is
Answers
a-b = 2
solve one of the equations for a...
a + b = 46
a = b + 2
solve for "b" using substitution...
(b + 2) + b = 46
2b + 2 = 46
2b = 44
b = 22
solve for "a" with substitution...
a + (22) = 46
a = 24
Smaller Number: 22
Bigger Number: 24
x + y = 46
x - y = 2
Now, x = 46 - y
Thus,
46-y - y = 2
46 - 2y = 2
-2y = -44
Thus, y = 22.
x + y = 46
x + 22 = 46
Thus, x = 24.
Thus, the greater number is 24 and smaller number is 22.
Answers
The absolute extreme values, or extrema, refer to the maximum and minimum values of a function while an extreme value, or extremum (plural extrema), is the smallest (minimum) or largest (maximum) value of a function.
>A function f is said to have an absolute maximum on an interval I at x0 if f(x0 ) is the largest value of f on I; that is, f(x0 ) ≥ f(x) for all x in the domain of f that are in I.
Answers
Answer: x = , 0,
Step-by-step explanation:
To find the zeros, we will find the solutions to this equation that make it equal 0. This is a cubic function, so we can assume that there will be three solutions.
Given:
Set the functionequal to 0:
Subtract:
Multiply both sides of the equation by 5:
Factor the polynomial:
Solve with the zero product property:
0 = 3x 0 = 2x - 3 0 = 2x + 3
0 = x 3 = 2x -3 = 2x
x = 0 x = x =
24/48= 3/n
n=_____
Answers
cross multiply
24*n=24n
48*3=144
then divide 24 by 144 to get n=6
how do i solve this.
Answers
(-8)^3=-8 times -8 times -8=-512
2^3=8
-512/8=-64
the other way that you are supposed to do it is
factor
-8=-1 times 2^3
(-8)^3=-1 times (2^3)^3=-1 times 2^9
when dividing exponents, subtract
put the -1 to the side
(-1/1) times (2^9)/(2^3)=(-1/1) times 2^(9-3)=(-1/1) times 2^6=-1 times 64=-64