Answer: a) Explicit formula :
b) Recursive formula : and
Step-by-step explanation:
Since we have given that
Number of grams of yeast in a culture dish initially = 9 grams
According to question, a certain culture of year increases by 50 % every three hours.
So, the explicit formula will be
And the recursive formula will be
Hence, a) Explicit formula :
b) Recursive formula : and
Answer:
The correct option is 2.
Step-by-step explanation:
The slope of two parallel lines are equal.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
In option 1, the equation of lines are
The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.
In option 2, the equation of lines are
By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.
Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.
In option 2, the equation of lines are
By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.
Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.
Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer: Option W
Step-by-step explanation:
A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.
