Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
Answer: First of all, we will add the options.
A. Yes, because 3 inches falls above the maximum value of lengths in the sample.
B. Yes, because the regression equation is based on a random sample.
C. Yes, because the association between length and weight is positive.
D. No, because 3 inches falls above the maximum value of lengths in the sample.
E. No, because there may not be any 3-inch fish of this species in the pond.
The correct option is D.
Step-by-step explanation: It would not be appropriate to use the model to predict the weight of species that is 3 inches long because 3 inches falls above the maximum value of lengths in the sample.
As we can see from the question, the model only accounts for species that are within the range of 0.75 to 1.35 inches in length, and species smaller or larger than that length have not been taken into consideration. Therefore the model can not be used to predict the weights of fishes not with the range accounted for.
Answer:
Step-by-step explanation:
<u>Let the numbers be x, y and z</u>
- x + y + z = 24
- 2y = z + 2
- z = x + y
<u>Solving by substitution:</u>
- x + y + z = z + z = 24
- 2z = 24
- z = 12
- 2y = z + 2
- 2y = 12 + 2
- 2y = 14
- y = 7
- z = x + y
- x = z - y
- x = 12 - 7 = 5
<u>The answer:</u>
Answer:
Mr mehra's salary is 26250
Step-by-step explanation:
suppose,
Mr mehra's salary is x
so,
He spends in food = 30% of x
=(30/100) . x [x%=x/100]
= 30x/100
=3x/10
He spends in charity =10% of x
=10x/100
=x/10
Money left = 15750
so,
x = 3x/10 + x/10 + 15750
⇒x - 3x/10 - x/10 = 15750
⇒(10x-3x-x) /10 = 15750
⇒6x/10 = 15750
⇒6x=157500
⇒x = 157500/6
⇒x = 26250
∴Mr mehra's salary is 26250
