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mart [117]
3 years ago
9

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:  The change represents  growth with 89% of growth rate.

Step-by-step explanation:

The exponential function is given by :-

f(x)= Ab^x... (i)

Where , A = initial value , b= multiplicative factor and  x= time period

  • We call 'b' growth factor when b>1, we can write b= 1+r , where r is the rate of growth.
  • We call 'b' decay factor when b<1 , we can write b= 1-r , where r is the rate of decay.

The given function : y = 940(1.89)^x.

By comparing this to (i) , we get

b= 1.89 > 1 , thus it represent the growth.

Also,

b= 1+r\Rightarrow\ 1.89 = 1+r\\\\\Rightarrow\ r=1.89-1=0.89

i.e. Percentage rate of growth = 0.89 x 100 = 89%.

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180=112+9x+5. Whats the value of X and why?
vovangra [49]

Answer:x=7

Step-by-step explanation:

180=112+9x+5

Collect like terms

180-112-5=9x

63=9x

Divide both sides by 9

63/9=9x/9

7=x

x=7

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3 years ago
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a statistic question is with multiple answers

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Write and expression for “the sum of d and 9”
Natali [406]

Sum means to Add.

So the sum of d and 9 would be d + 9

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(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work
shutvik [7]

Answer: 0

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To find the slope, you would need to use the formula m=\frac{y_2-y_1}{x_2-x_1}.

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7 0
3 years ago
Two brothers want to share a large field equally.
Elan Coil [88]

Yes, the partition gives the two brothers equal shares.

Step-by-step explanation:

Step 1:

Assume the entire field has an area of B. So one brother takes \frac{1}{12} B, \frac{1}{6}B, and \frac{1}{4} B

So we need to calculate how much this brother takes in terms of B.

To do this we calculate how much \frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B is.

Step 2:

To add \frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B,

First take the LCM of the denominators 12, 6, and 4

The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B = \frac{1(1)}{12(1)} B + \frac{1(2)}{6(2)} B + \frac{1(3)}{4(3)} B \\\\\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B= \frac{1B +2B+3B}{12} = \frac{B}{2}

Step 3:

One brother gets \frac{1}{2} B, so we need to calculate how much the other brother gets.

The other brother's share = B - \frac{1}{2} B = \frac{1}{2}B

So both the brothers get equal shares

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3 years ago
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