103 stays because it is the whole number and the next number after the decimal is below 5.
103 is your answer.
To find the inverse of this function, we first need to replace f(x) with y.
y = 2x^2 + 3
Now, we swap x and y
x = 2y^2 + 3
Now, we solve for y.
-3
x - 3 = 2y^2
Sqrt both sides.
√(x - 3) = 2y
Divide by 2
√(x - 3)/2 = y
Replace y with f^-1(x)
√(x - 3)/2 = f^-1(x)
Just realized you were asking for f(-1), not f^-1(x)
Feels bad.
f(-1) = 2(-1^2 + 3)
f(-1) = 2(-1^5)
f(-1) = 2(-1)
<u>f(-1) = -2</u>
I'm leaving the original answer in case you also need the inverse function. :)
Answer:
![\[\frac{3}{4}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B3%7D%7B4%7D%5C%5D)
miles
Step-by-step explanation:
The relay team consists of 4 people.
Total distance covered by 4 people = 3 miles
Each person runs the same distance.
This means that each person will run a distance equal to:
![\[\frac{distance}{persons}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bdistance%7D%7Bpersons%7D%5C%5D)
![\[=\frac{3}{4}\]](https://tex.z-dn.net/?f=%5C%5B%3D%5Cfrac%7B3%7D%7B4%7D%5C%5D)
So each person in the relay team of 4 will run a distance of miles to cover the entire length of 3 miles.
Answer:
24
Step-by-step explanation:
break it down it's a composite shape
<span>Potato salad=$2.25/(1 1/2)=$2.25/(1+0.5)=$2.25/1.5=$1.50 per pound
Ham=$2.00/(1/2)=$2.00/0.5=$4.00 per pound
Cheese: $0.60/(1/4)=$0.60/0.25=$2.40 per pound
A. 4 pounds of turkey, 1 pound of ham, and 1/2 pound of shrimp salad
1/2=0.5
Total cost: T
T=4($3.50)+1($4.00)+0.5($5.50)=$14.00+$4.00+$2.75→T=$20.75>$20 No
B. 1 1/2 pounds of cheese, 2 pounds of ham, and 1 1/2 pounds of shrimp salad
1 1/2=1+0.5=1.5
</span>Total cost: T
T=1.5($2.40)+2($4.00)+1.5($5.50)=$3.60+$8.00+$8.25→T=$19.85
<span>$18.00<$19.85<$20.00 Ok
C. 3 1/2 pounds of potato salad, 3/4 pound of ham, 1 pound of cheese, and 2 pounds of turkey
3 1/2=3+0.5=3.5
3/4=0.75
</span>Total cost: T
T=3.5($1.50)+0.75($4.00)+1($2.40)+2($3.50)=$5.25+$3.00+$2.40+$7.00→
T=$17.65
$18.00<$17.65<$20.00 Ok<span>
D. 2 pounds of shrimp salad, 1/2 pound of ham, 1 pound of turkey, and 2 pounds of potato salad
</span>1/2=0.5
Total cost: T
T=2($5.50)+0.5($4.00)+1($3.50)+2($1.50)=$11.00+$2.00+$3.50+$3.00→
T=$19.50
$18.00<$19.50<$20.00 Ok
Answer: S<span>he could have purchased combinations B, C, or D</span>
