1.You can recognize exponential and linear function by their graph.Linear functions are straights while exponential functions are curved lines.You can also recognize them by the change in your.If the same number is being added to y,then the function has a constant change and is linear.3:-An example of a exponential function is the growth of bacteria and A common equation,y=mx+b y=mx+b,(namely the slope-intercept form,which we will learn more about later)is a example of a linear function.2:-For constant increments in x,a linear growth would increase by a constant difference,and an experimental growth would increase by a constant ratio.
Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.

And we solve from there:

So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Start by distributing the exponent to each of the terms in
. This will become
, and
. Now, the expression is:
.
We can now simplify the bottom to read:
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:

The 2/8 simplifies to 1/4:

Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:

Hope this makes sense!!