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haydoc1025
10.11.2020 •
Mathematics
Dee's clothing is having a discount of 40% on all shirts. Let x represent the regular price of any shirt in the store. Enter an expression that can be used to find the sale price of any shirt in the store.
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Ответ:
Step-by-step explanation:
Step one:
we want to find the expression for the cost of any type of shirt for an applied discount of 40%.
let the price of any shirt be P
let the cost of any shirt be x
and also the price after discount applied be C
Step two:
The discount is
=40/100*x
=0.4*x
=0.4x
Hence the cost of the shirt will be the initial cost minus the discount
C=P-0.4x
Ответ:
The correct options are
Part A : option (a) the common difference is -10.
Part B : option (c) 3, -2, -7, -12, . . .
Step-by-step explanation: We are given to solve the following two problems
PART A :
We are given to select the statement that best describes the relationship between the successive terms in the following sequence :
9, -1, -11, -21, . . .
If a(n) denotes the n-th term of the given sequence, then we see that
Since the difference between any two consecutive term of the given sequence is -10, so
there is a common difference of -10.
Option (a) is CORRECT.
PART B :
Given that a sequence is defined recursively using th efollowing formula :
We are to select the sequence that could be generated using formula (i).
Let f(n) = 1. Substituting n = 1, 2, 3, 4, . . . in equation (i), we get
In this case, the sequence is 1, -4, -9, -14, . . .
Let f(n) = 2. Substituting n = 1, 2, 3, 4, . . . in equation (i), we get
In this case, the sequence is 2, -3, -8, -13, . . .
Let f(n) = 3. Substituting n = 1, 2, 3, 4, . . . in equation (i), we get
In this case, the sequence is 3, -2, -7, -12, . . .
Let f(n) = 4. Substituting n = 1, 2, 3, 4, . . . in equation (i), we get
In this case, the sequence is 4,-1, -6, -11, . . .
Thus, the correct sequence that could be generated is 3, -2, -7, -12, . . .
Option (c) is CORRECT.