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Ira Lisetskai [31]
2 years ago
12

Click an item in the list of groups of pictures at the bottom of the problem and, holding the button down, drag it into the corr

ect position in the answer box. Release your mouse button when the item is place.
What is the equation of the exponential graph shown

Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of an exponential function is given by the formula,

y = A (B)ˣ

Now as per the graph, there are two points (1, 50) and (2, 25).

50 = A (B)¹

50 = AB

A = 50/B

Substitute another point in the equation,.

25 = A (B)²

25 = (50/B) (B)²

25 = 50B

B = 0.5

Substitute the value of B,

A = 50/0.5 = 100

Hence, the equation of the exponential graph is A=100(0.5)ˣ.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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For f(x) = 2x+3 which represents f(x) when x= 6?<br><br> A.16<br> B.20<br> C.28<br> D.96
yawa3891 [41]

Answer:

15

Step-by-step explanation:

when x=6 plug it in to the equation and you would get 2(6)+3 which is 12+3 which is 15

7 0
3 years ago
Match the numbers in standard notation with the corresponding numbers in scientific notation.
ankoles [38]

Answer:

a) 864,000,000,000      8.64E11

b) 8,640,000,000           8.64E9

c) 86,400,000,000,000     8.64E13

d) 864,000,000,000,000    8.64E14

Step-by-step explanation:

A scientific notation is a way to represent very large values into the decimal form.

Steps to write in scientific notation:

Move the decimal to left before first digit of the given number.

Find the number of times decimal is moved to left.

Put that number in the exponent of e.

So, matching:

a) 864,000,000,000      8.64E11

b) 8,640,000,000           8.64E9

c) 86,400,000,000,000     8.64E13

d) 864,000,000,000,000    8.64E14

8 0
3 years ago
Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
Slav-nsk [51]

Answer:

<h2>2</h2>

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) =  5x-4 into the second equation we have;

5x-4 =  f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal  f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0
3 years ago
A footbridge is 5 feet wide and is built with wood planks that are 6 inches wide. How many planks wide is the path?
Ede4ka [16]

Here we have to know the conversion between feet and inches.

1 Feet = 12 inches (This is given and is to be known)

So the 5 feet wide footbridge when converted to inches would be about 5*12 = 60 inches

The width of the footbridge in inches = 60 inches

Each wooden plank is 6 inches,

So the number of wooden planks that are required to build the foot bridge of 60 inches = 60/6 = 10 planks

Hence, the path path is 10 planks wide

7 0
3 years ago
The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?
aivan3 [116]

Answer:

<em>Volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>sphere</em><em> </em><em>is</em><em> </em><em>36</em><em>π</em><em> </em><em>(</em><em>or</em><em>)</em><em> </em><em>113</em><em>.</em><em>097</em><em> </em><em>cubic</em><em> </em><em>centimetre</em><em>. </em>

Step-by-step explanation:

given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \:  =  \frac{diameter}{2}  \\ radius \:  =  \frac{6}{2}  \\ radius \: (r) =  \: 3 \: cm \\ volume \: of \: sphere \:  =  \frac{4}{3} \pi \:  {r}^{3}  \\ here \: r \:  = 3 \: cm \\ on \: substituting \: r \:  = 3 \:  \: in \: formula \\ volume \: of \: sphere \:  =  \frac{4}{3} \pi \:  {3}^{3}  \\  \:  \:  =  \frac{4}{3} \pi \: 27 \\   \:   = \: 4 \pi \times 9 \\  \:  \:  = 36\pi \\  \:  \:  = 113.097 \:  {cm}^{3}

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
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