Answer: The answer is b=–108
Step-by-step explanation: You’ll need to solve for b by simplifying the both sides of the equation, and then isolating the variable.
Answer:
C. The square root of a number, positive or negative, is always positive. However, the cube of a negative number is negative.
Step-by-step explanation:
Of the choices offered, the one shown above is the only one that remotely makes any sense. Its description of square roots is erroneous, however.
The square root of a number n is the solution to the equation ...
x² = n
The function f(x) = x² has a range that only includes non-negative numbers, so the square root of a negative number does not exist. (Your answer choice says it is positive. It is actually non-existent among real numbers.)
On the other hand, the cube root of a number n is the solution to the equation ...
x³ = n
Since f(x) = x³ has a range that includes all real numbers, the cube root of n exists for all real numbers. (It is negative for negative values of n.)
_____
<em>Comment on answer wording</em>
The answer wording would be correct if the word "root" were left out.
Answer:
a = 1500
b = 0.97
Step-by-step explanation:
Let's define 2014 as our t = 0.
Then t = 1 will be 2015, and so on.
We know that in 2014 the population was 1500.
It decreases at an annual rate of 3% or 0.03 in decimal form.
Then in 2015, the population was: 1500 - 1500*0.03 = 1500*(0.97)
In 2016, the population was: 1500*(0.97) - 1500*(0.97)*0.03 = 1500*(0.97)^2
We already can see the pattern.
t years after 2014, the population will be:
f(t) = 1500*(0.97)^t
Now, answering the question:
using f(t)=a(b)^t what is the value of a and b?
a = 1500
b = 0.97
Hence, the required inequality is x+y≤4, 7x+4y≤1150
<h2>What is inequality?</h2>
inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
<h3>How to solve?</h3>
Let x be the number of adults and y be the number of campers.
There are rooms for 450 people, so
x+y≤450.
Each adult costs $7, then x adults cost $7x.
Each camper costs $4, then y campers cost $4y.
There is a maximum budget of $1,150, so
7x+4y≤1,150
Hence, you get the system of two inequalities:
x+y≤4
7x+4y≤1150
to learn more about inequality: brainly.com/question/16562548
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