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melomori [17]
3 years ago
11

Write an exponential function in the form y=ab^x 0,6 2,96

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer: y = 20*4^x

Step-by-step explanation:to find the value of the constants a and b, we just need to use the points given in the equation and solve the system of equations:

point (0,20): x = 0 and y = 20:

20 = a*b^0 = a*1 = a

a = 20

point (2,320): x = 2 and y = 320

320 = 20 * b^2

b^2 = 16

|b| = 4

b = 4 or b = -4

So we have two exponencial equations that pass through these points:

y = 20*4^x and y = 20*(-4)^x

As the questions asks for just one equation, we can answer y = 20*4^xIf you have two points, (x1, y1) and (x2, y2), you can define the exponential ... these points by substituting them in the equation y = abx and solving for a and b. ... In this form, the math looks a little complicated, but it looks less so after you ... Taking 1910 as the starting point, this gives the pair of points (0, 1.75) and (100, 6.87). which well turn out to be y=6(4)^x

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noname [10]

Answer:

You can use a number line to subtract -6 from -7. The difference is -1.

6 0
3 years ago
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1. y = sin? (In x). Find dy
galina1969 [7]

Answer:

dy/dx=  cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .

8 0
3 years ago
Which expression is equivalent to pq?<br> p+q <br> p-a<br> p/q<br> pq
sveta [45]

Answer:

pq are being multiplied together.the answer is D. pq. Hope it helps

5 0
3 years ago
At the city museum, child admission is $5.20 and adult admission is $8.90 . on friday, 159 tickets were sold for a total sales o
Zinaida [17]
Total tickets sold = 159
Total sales = $1100.60
Child admission = $5.20
Adult admission = $8.90

Assumed all 159 tickets are Child admission tickets
Total sales = 159 x 5.2 = $826.80

Difference in amount = $1100.60 - $826.80 = $273.80
The difference must be contributed by the Adult Admission Tickets, which has a difference of $8.90 - $5.20 = $3.70

$273.80 ÷ $3.70 = 74 adult tickets

159 - 74 = 85 child tickets



5 0
3 years ago
A bowl contains 8 blue marbles and 5 green marbles. Elizabeth randomly draws 4 marbles from the bowl. She does not replace the m
Mrrafil [7]
Probability ( 1 blue marble and 3 green marbles) = ( Blue, green, green, green) + ( green, blue, green, green) + ( green, green, blue, green) + ( green, green, green, blue) = { (8/13) × (5/12) × (4/11) × (3/10) } + { (5/13) × (8/12) × (4/11) × (3/10) } + { (5/13) × (4/12) × (8/11) × (3/10) } + { (5/13) × (4/12) × (3/11) × (8/10) } = (4/143) + (4/143) + (4/143)+ (4/143) = 16/143 If the answer does not correspond to yours, do tell me. I'll try to correct mine
6 0
3 years ago
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