The required number is 54.
Therefore 54 divided by 9 equals 6 .
Given,
Blank divided by 9 equals 6.
Now,
Let the blank number be x.
So,
Rewriting in the form of equation,
x ÷ 9 = 6
x = 9*6
x = 54
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f(x)=x2+7x+12
Answer:
-4, -3
Step-by-step explanation:
So here we have a quadratic equation (meaning the highest exponent is 2).
To solve a question like this we either factor or use the quadratic formula.
Here we can factor.
To factor we must find two numbers that can be multiplied to make the last term, and summed to make the middle term. In this equation it means we are finding two numbers such that:
___ * ___ = 12
and
___ + ___ = 7
We start by thinking of the factors of 12.
Lets start by trying 6 and 2.
6 * 2 = 12
but
6 + 2 = 8
So 6 and 2 dont work because they do not sum to 7.
Now lets try 4 and 3
4 * 3 = 12
and
4 + 3 = 7
This pair of numbers works because they can be multiplied to make 12 and added to make 7.
So we can write
as
Knowing this we can can find the zeros of the function. Remember that a zero of a function is whatever can be plugged into x to make 0. Since we know zero times any number equals 0, this equation will be 0 when x + 4 equals 0 or x + 3 equals 0.
So we can solve for those two equations
x + 4 = 0
x = -4
x + 3 = 0
x = -3
So the two zeros of this equation are -4 and -3
6|8
10|13
12|15
16|18
18|21
For every increase of 1 on the Richter scale, an earthquake is 10 times more powerful. Which of the following models this situation? answer-exponential growth function
b- linear function with a positive rate of change
c-exponential decay function
d-exponential growth function
The model that best describes this situation is an exponentialgrowthfunction.
The correct answer is option D.
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Exponential growth function
The given situation describes how the power of an earthquake increases exponentially with an increase in Richter scale magnitude.
Specifically, for every increase of 1 on the Richter scale, the earthquake is described as being 10 times more powerful.
This is characteristic of exponentialgrowth, where a quantity increases by a fixed proportion for each unit increase in another variable.
In this case,
As the Richter scale magnitude increases by 1, the power of the earthquake increases by a factor of 10, which is an exponentialgrowth relationship.
Therefore,
The model that best describes this situation is an exponentialgrowthfunction.
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