Answer:
93
Step-by-step explanation:
Use PEMDAS and plug in the values for x and y. So replace x with 8 in the parenthesis, resulting in (8+2x3) since you do multiplication before addition, it would be 8+6 equaling 14. 14 would be multiplied by 6, so it would be 84, but do not forget the y^2, which would be 3^2 and since 3x3 is 9, you would add 9 to 84
Answer:
Option D is correct.i.e., f(x) = | x - 2 | + 1
Step-by-step explanation:
Function which satisfy the given data is our Ans.
So, we check for all functions.
Option A : f(x) = |x| + 1
put, x = -2
we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option B : f(x) = | x-2 |
put, x = -2
we get, f( -2 ) = | -2 - 2 | = | -4 | = 4 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option C : f(x) = | x-2 | - 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | - 1 = | -4 | - 1 = 4 - 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option D : f(x) = | x-2 | + 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | + 1 = | -4 | + 1 = 4 + 1 = 5
⇒f ( -2 ) is equal to given value of f ( -2 ).
put, x = 0
we get, f( 0 ) = | 0 - 2 | + 1 = | -2 | + 1 = 2 + 1 = 3
⇒f ( 0 ) is equal to given value of f ( 0 ).
put, x = 2
we get, f( 2 ) = | 2 - 2 | + 1 = | 0 | + 1 = 0 + 1 = 1
⇒f ( 2 ) is equal to given value of f ( 2 ).
put, x = 3
we get, f( 3 ) = | 3 - 2 | + 1 = | 1 | + 1 = 1 + 1 = 2
⇒f ( 3 ) is equal to given value of f ( 3 ).
put, x = 5
we get, f( 5 ) = | 5 - 2 | + 1 = | 3 | + 1 = 3 + 1 = 4
⇒f ( 5 ) is equal to given value of f ( 5 ).
Thus, This is function of given data.
Therefore, Option D is correct.
How many blocks will Colin run by the end of the sixth week?
A.
Use objects to model the problem.
Put out 1 chip to represent the blocks run in week one. Put out twice that amount for week two. Put out twice that amount (from week two) for week three. Do this 3 more times, putting out twice the amount from the previous week each time.
B.
Make a table.
In the first row, write first week - 2 blocks. In the next row, write second week - 4 blocks. In the third row, write third week -6 blocks. Continue this pattern for three more rows.
C.
Write a number sentence.
(1 + 2) × 6 = x
Add the number of blocks run in the first and 2nd week. Then multiply the sum by the number of weeks (6).
242 m2
B.
363 m2
C.
484 m2
D.
968 m2
Here is a picture if you need it.
Answer:
Answer is 3e.
Step-by-step explanation:
The slope is given by the derivative at the given point.
Differentiating:-
4x^3 = 1/xy *(x * dy/dx + y)
4x^3 = 1/y * dy/dx + 1/x
dy/dx = (4x^3 - 1/x) * y
At the point (1, e) x = 1 and y = e so substituting
slope at (1,e) = dy/dx = (4(1)^3 - 1/1) * e
= 3e (answer)
The cafeteria manager predicted number of students come for lunch at school each Friday is 280.
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, in a survey, 35 out of 75 students buy a school lunch on Fridays.
35/75
There are 600 students in the school.
Here, 600/75
= 8
Now, 35×8
= 280
Therefore, the cafeteria manager predicted number of students come for lunch at school each Friday is 280.
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