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3 years ago

An exponentially function is expressed in the form y = axb^x . The relation represents a growth when _ and a decay when _ .

Mathematics

1 answer:

Sergio [31]3 years ago

3 0

Answer:

The relation represents a growth when b>1 and a decay when 0<b<1

Step-by-step explanation:

Any function in the form $f(x)= a(b^x)$ , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 < b < 1. It is an example of an exponential decay. The general shape of an exponential with b > 1 is an example of exponential growth. An exponential function is expressed in the form $y=a(b^x)$ The relation represents a growth when b >1 and a decay when 0<b<1.

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The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownie

rosijanka [135]

Answer:

Option A. $y=0.28x+0.75$

Step-by-step explanation:

Let

y -----> the height of fudge brownies in centimeters

x ----> teaspoons of baking powder

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(5,2.15) and (6,2.43)

substitute the values

$m=\frac{2.43-2.15}{6-5}$

$m=\frac{0.28}{1}=0.28$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.28$

$(x1,y1)=(5,2.15)$

substitute

$y-2.15=0.28(x-5)$

Isolate the variable y

$y-2.15=0.28x-1.4$

$y=0.28x-1.4+2.15$

$y=0.28x+0.75$

6 0

3 years ago

Read 2 more answers

Find the percent of the area under the density curve where x is more than 3. <br>

Gekata [30.6K]

Answer:

The percent of the area under the density curve where $x$ is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

$A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot (y_{f}-y_{o})$ (1)

Where:

$A$ - Area, in square units.

$x_{f} - x_{o}$ - Base of the triangle, in units.

$y_{f} - y_{o}$ - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

$x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%$

$x = 25\,\%$

The percent of the area under the density curve where $x$ is more that 3 is 25 %.

7 0

3 years ago

Miley went to the store with a $10 bill. She went to get 8 jumbo dill pickles for her family. If she spent the whole $10, what w

Vadim26 [7]

answer is 1.25

because 10 divided by 8 equals 1.25

3 0

3 years ago

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Simplify to create an equivalent expression<br><br> 6(5r-11)-(5-r)

dolphi86 [110]

Answer:

B or 31r-71

Step-by-step explanation:

First, use distributive property to expand the first term.

30r-66-(5-r)

Remove the parenthesis of the third term:

30r-66-5+r

Combine like terms

31r-71

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3 years ago

Which diagram shows parallel lines cut by a transversal? 2 lines are cut by a transversal. At the intersection of the first line

AlekseyPX

Answer:

Step-by-step explanation:

2 lines are cut by a transversal. At the intersection of the first line with the transversal, the bottom right angle is 130 degrees. At the intersection of the second line with the transversal, the uppercase right angle is 50 degrees.

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3 years ago

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