Answer:
the formula for a function d(x) that describes the distance is ![d(x)=\sqrt{101x^{2}-24x+5}](https://tex.z-dn.net/?f=d%28x%29%3D%5Csqrt%7B101x%5E%7B2%7D-24x%2B5%7D)
Step-by-step explanation:
We are going to define final point
, and initial point
, then we can use
, so we obtain
, by developing it ![d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}\\d(x)=\sqrt{4-4x+x^{2}+(1-10x)^{2}}\\d(x)=\sqrt{4-4x+x^{2}+1-20x+100x^{2}}\\d(x)=\sqrt{101x^{2}-24x+5}\\](https://tex.z-dn.net/?f=d%28x%29%3D%5Csqrt%7B%282-x%29%5E%7B2%7D%2B%280-%2810x-1%29%29%5E%7B2%7D%7D%5C%5Cd%28x%29%3D%5Csqrt%7B4-4x%2Bx%5E%7B2%7D%2B%281-10x%29%5E%7B2%7D%7D%5C%5Cd%28x%29%3D%5Csqrt%7B4-4x%2Bx%5E%7B2%7D%2B1-20x%2B100x%5E%7B2%7D%7D%5C%5Cd%28x%29%3D%5Csqrt%7B101x%5E%7B2%7D-24x%2B5%7D%5C%5C)
This formula describes the distance between those two points and involves x
Answer: 2
Step-by-step explanation: By adding all the desserts together, you get 20, so you then divide that by the number of tables which is 10, therefore getting 2 which is the average/mean
The new mean is 11
Step-by-step explanation:
The mean = sum of the numbers ÷ numbers
- The mean of a set of 5 numbers is 12
- One of the number is 16
- We need to find the new mean if 16 is removed from the set of numbers
∵ The set has 5 numbers
∵ The mean of the 5 numbers is 12
- Substitute these values in the rule of the mean above
∴ 12 = sum of the numbers ÷ 5
- Multiply both sides by 5
∴ 60 = sum of the numbers
∵ One of the number is 16
∵ 16 is removed from the set of the number
- Subtract 16 from the sum and the numbers will be four numbers
∵ The new sum = 60 - 16
∴ The new sum = 44
∵ The set has 4 numbers
∴ The new mean = 44 ÷ 4 = 11
The new mean is 11
Learn more:
You can learn more about the mean in brainly.com/question/5069437
#LearnwithBrainly
Answer:
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.