The garden has four quarters. three quarters are planted with basil. one quarter is planted with sage. The strips represent quarters. So that means that three strips represent three quarters. Well one strip represents one quarter.
Let x = number of quarters
since she has twice as many dimes as quarters,
Let 2x = number of dimes
The total value in $ is
0.25x + (0.10)(2x)
And it was said that when the numbers of quarters and dimes are interchanged, she would have $1.20 more than the original. So,
(New Value) = (Original Value) + $1.20
0.25(2x) + 0.10x = 0.25x + (0.10)(2x) + 1.20
Solving for x,
0.5x + 0.1x = 0.25x + 0.2x + 1.20
0.6x = 0.45x + 1.20
0.6x - 0.45x = 1.20
0.15x = 1.20
x = 1.20/0.15
x = 8 quarters
2x = 16 dimes
Answer:
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation:
Given table is:
Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
It can clearly be observed that the values for x and y are changing with the same rate.
In case of x, -3 is added to the previous input to get the next input.
Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.
Hence,
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Answer:
Ki
Step-by-step explanation:
Answer:
x²(x - 1)²
Step-by-step explanation
Given the expression x^4 - 2x^3 + x^2
Factoring out the common terms;
x^2 (x^2-2x + 1)
Factorize the expression in bracket
= x^2 (x^2-2x + 1)
= x^2 (x^2-x-x + 1)
= x^2 (x(x-1)-1(x-1))
= x^2 (x-1)(x-1)
<em>= x^2(x-1)^2</em>
<em>Hence the factored form of the expression is x²(x - 1)²</em>