Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

So, putting value of x = -3 in above equation, we get :

Hence, this is the required solution.
Answer:
Whitney can bring <u>6 friends.</u>
Step-by-step explanation:
The reason why is this:
Whitney is bringing 400 pounds of things plus <u>her own body weight! </u>
400 + 165 = 565 pounds
Now we add on Whitneys freinds which is <u>165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight. </u>
175 x 6 = 1,050 pounds
If we add on Whitneys total weight thats:
565 + 1,050 = 1,615
<u>Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle. </u>
Hence, Whitney can bring along 6 friends for her birthday.
<em>Hope this helped! :)</em>
Answer:
He must sell 1390 carrots
Step-by-step explanation:
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
1387.5
multiply 30 by .3 to get $9 for 30 carrots
Then add $3 to this amount to get $12 dollars.
Divide 555 by 12 to get 46 R3.
Multiply 46 by 30 because its 46 bundles of 30 carrots
Then divide the 3 dollars by .3 for each carrot to get 10 carrots
1380+10 = 1390
Answer:
24408
Step-by-step explanation:
Multiply every number by 8, then multiply every number by 10.
Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
or 
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
Hope this helps!