Answer:
Step-by-step explanation:
Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:
(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

So the average rate of change, aka slope, between those 2 points is -1
You times the denominator from 2/3 by 4 so it can be equivalent to 8/12
2/3 x 4 = 8/12-8/12=0
Answer:
multiply 4 and 8 to get 32
Step-by-step explanation:
After substituting, the expression is ...
4·8 +9/7
The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...
32 + 9/7
Now, you can do the division:
32 + (1 2/7)
And, finally, the addition:
33 2/7
___
Or, you could skip the division and go straight to adding a whole number and a fraction:
(32·7 +9)/7 = (224+9)/7 = 233/7
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
<h2>
Answer:</h2>
8x+9
<h2>
Step-by-step explanation:</h2>
12x+1 = 2(2x+5)
<h3><em><u>Handle the brackets first</u></em></h3>
12x+1 = 4x+10
<h3><em>
<u>Collect like terms</u></em></h3>
=8x+9