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Nata [24]
3 years ago
10

The graph below could be the graph of which exponential function?

Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0
Consider this option:
according to the attached graph there is a decreasing function.
If a decreasing function is an exponential function y=a× it means, that a∈(0;1).
This property is performed in answer 'B' only, its equation is y=2*(0,5)×.

answer: B.
Aneli [31]3 years ago
7 0

Answer:

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

f(x)=ab^x

Where, a is the initial value of the function and b is the growth factor.

If b>1, then f(x) is an increasing function and if b<1, then f(x) is an decreasing function

From the given graph it is noticed that the initial value of the function is 2. It means the value of a is 2.

The graph shows that the function is a decreasing function, therefore the value of b must be less than 1.

It means the required function is in the form of

F(x)=2(b)^x

Where, b<1.

In option B, b=0.5<1, therefore option B is correct.

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Marizza181 [45]
Is there’s more to this question?
8 0
3 years ago
The graph of y = –3x + 4 is:
MrRa [10]

Answer:

D

Step-by-step explanation:

It's a line with many solutions like

When x=1 y=1

X=2 y=-2

And so on all the pts on the line

8 0
2 years ago
What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers
seraphim [82]

Answer:

Solutions are 2,  -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

or 2,  -1 +  1.58 i  and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).


Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have  a total of 3 roots ( real and complex in this case).  We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here  a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

4 0
2 years ago
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Write the equation of the line in slope-intercept form using y=mx+b​
AnnZ [28]
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
3 0
2 years ago
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Helpp again cause no one answered me &lt;/3 so please help!!! ​
Serjik [45]

Answer:

its the first one.

3 0
3 years ago
Read 2 more answers
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