Answer:
Step-by-step explanation:
The common ratio is
24, 12, 6, 3, ,
,
,
so divide each term by 2
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What’s 9+5x-5+3x equal to?
1 answer:
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function g has to be the transformation of function f. Therefore,
is the answer.
Answer:
The number of bacteria in the dish after 9.9 minutes is 478
Step-by-step explanation:
The form of the function is , where a is the initial amount (value f(x) at x = 0)
To find a and b let us use two points from the graph and substitute their coordinates in the equation
∵ The graph passes through point (1 , 1)
∴ x = 1 and y = 1
- Substitute them in the equation
∵
∴ a.b = 1 ⇒ (1)
∵ The graph passes through point (1 , 1)
∴ x = 3 and y = 4
- Substitute them in the equation
∵
∴ a.b³ = 4 ⇒ (2)
Use equation (1) to find a in terms of b
∵ a.b = 1
- Divide both sides by b
∴ ⇒ (3)
- Substitute a in equation (2) by equation (3)
∴ . b³ = 4
- Remember the rule
∵ . b³ =
= b²
∴ b² = 4
- Take √ for both sides
∴ b = 2
Substitute the value of b in equation (3) to find a
∵ a =
∴ a = 0.5
∴
∵ f(x) represents the number of bacteria after x minutes
∵ x = 9.9 minutes
- Substitute x by 9.9 to find the number of bacteria
∵
∴ f(9.9) = 477.7128917
- Round it to the nearest whole number
∴ f(9.9) = 478
∴ The number of bacteria in the dish after 9.9 minutes is 478
Answer:
The value of second quantity is 27
Step-by-step explanation:
Inverse variation can be represented by the equation xy=k or i.e,
y varies inversely as x , if there is some nonzero constant k such that, xy =k or where x≠0 and y≠0.
Given: Two quantities vary inversely.
Let x be the first quantity and y be the second quantity if they vary inversely.
then, by definition of inverse variation;
.....[1]
Substitute the value of x=15 and y=18 to solve for k;
Multiply both sides by 15 we have;
Simplify:
k=270
now, find the second quantity y using same method when x=10.
then;
after substituting the value of x=10 and k=270 in [1] ;
Simplify:
y= 27
Therefore, the second quantity value i.e,y = 27