Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: Equals negative 4 + 6 + 5 Step 3: Equals 7 What, if any, was Jane's mistake?
Jane's evaluation :
x² - 3x + 5 for x = - 2
Step 1:
(-2)² - 3(-2) + 5
Step 2:
-4 + 6 + 5
Step 3 :
= 7
Jane's mistake was in STEP2,
evaluating (-2)² = 4 and not - 4
Hence, (-2)² - 3(-2) + 5
= 4 + 6 + 5
= 15
First find the numbers that are divisible by 3.
3, 6, 9, 12, 15, 18, 21, 24
There are 8 numbers divisible by 3 so there are 16 that are not divisible by 3.
P(not div by 3) = 16/24 = 2/3
On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.
<h3>What is quarts?</h3>
An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.
A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.
Since, 1 quart = 2 pints
Therefore by unitary method we can say,
2pint= 1 quart
6pint= 3quarts
To know more about quarts visit: https://brainly.in/question/13601478
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Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have ![$ f(4) = 18 $](https://tex.z-dn.net/?f=%24%20f%284%29%20%3D%2018%20%24)
![$ f(-2) = -12 $](https://tex.z-dn.net/?f=%24%20f%28-2%29%20%3D%20-12%20%24)
![$ f(0) = -2 $](https://tex.z-dn.net/?f=%24%20f%280%29%20%3D%20-2%20%24)
![$ f(-3) = -17 $](https://tex.z-dn.net/?f=%24%20f%28-3%29%20%3D%20-17%20%24)
Here,
is the domain and
is the co-doamin.
Therefore, ![$ x = \{4, -2, 0, -3\} $](https://tex.z-dn.net/?f=%24%20x%20%3D%20%5C%7B4%2C%20-2%2C%200%2C%20-3%5C%7D%20%24)
Now, OPTION A: ![$ f(x) = 2x - 5 $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%20%202x%20-%205%20%24)
Substitute x = 4. We get f(x) = 3
18.
So, OPTION A is rejected.
Similarly, OPTION B: ![$ f(x) = 5x + 2 $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%205x%20%2B%202%20%24)
Substitute x = 4. We get f(4) = 22
18.
It is rejected as well.
Now, for OPTION C: ![$ f(x) = \frac{x}{2} - 5 $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20-%205%20%24)
Substitute x = 4. We get f(4) = -3
18.
So, OPTION C is also rejected.
OPTION D: ![$ f(x) = 5x - 2 $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%20%205x%20-%202%20%24)
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.