(1/3) a = -5 What does a equal?????????????????????????????????????????????????????
1 answer:
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Answer:
Second : 1/6 x + 47
Third : 1 2/3 x + 35 - 1 1/2 x + 12
Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)
Step-by-step explanation:
I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.
To expand, you multiply the term outside of the brackets by each term inside the brackets.
5(1/3x + 7) - 3(1/2x - 4)
= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4) Showing how to expand
= 5/3x + 35 - 3/2x + 12 Simplified above step by multiplying
= 5/3x - 3/2x + 47 Collected like terms (35 + 12 = 47)
= 10/6x - 9/6x + 47 Change fractions to the common denominator 6
= + 47 Combine fractions with common denominator
= 1/6x + 47 Fully expanded
See which options match the steps I took to expand the original expression.
The second step is the same as option 4.
The last step is the same as option 2.
I bolded those steps that are the same.
Some options use mixed fractions (whole numbers and fractions).
From the third step, I will convert the improper fractions to mixed fractions.
5/3x + 35 - 3/2x + 12
= 1 2/3x + 35 - 1 1/2x + 12
This is the same as option 3.
On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.
On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.
Answer:
<em>a) </em><em />
<em>b) The coordinates of P are</em>
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Step-by-step explanation:
<u>Translation</u>
The dashed line shows the graph of the function
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
b) The coordinates of P correspond to the value of
The value of G is
Since
The coordinates of P are