Answer:

Step-by-step explanation:
<h3> Reciprocal:</h3>

<h3>Additive inverse:</h3>

Now multiply,


Answer:
6 and 8 minutes
Step-by-step explanation:
The graph shows her speed as being the highest and the table backes it up. 40mph is her top speed
So with this, we will be using proportions. To solve for x, our proportion will be 
Firstly, cross-multiply: 
Next, subtract 36 on both sides: 
Next, replace -9x with 3x-12x 
Next, factor x^2+3x and -12x-36 separately:
. After, rewrite it as 
Next, solve for x separately in the two parentheses:


Since we can't have a negative length, x = 12.
To solve for y, our proportion will be 
Firstly, cross-multiply: 
Next, just square root each side, and your answer will be (rounded to hundredths) 
In short, x = 12 and y = 10.39.
176 minutes,
70x5,280= 369,600 divide by 35= 10,560 divide by 60=176
Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....

Now we have to choose two different points from table and let the one that has bigger x value be represented as
and the other one will be represented as
. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....

Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2