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4 years ago

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

Mathematics

2 answers:

Akimi4 [234]4 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]4 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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A figure which is moved "6 units down and 2 units right" is an example of a A.reflection B.rotation C.dilation D.translation

Sedbober [7]

Answer:

D. It is called a translation

5 0

3 years ago

Y is directly proportional to the square root of x<br> if y = 60 when x = 36<br> find x when y = 80

butalik [34]

Y = x^2
80 = x^2
x = √80
x = 8.94

6 0

3 years ago

Read 2 more answers

Given quadrilateral EFGH at e(-4,7) f(8,4) G(t,-5) and h(-7,-1) using coordinate geometry prove EFGH is a rectangle

Tcecarenko [31]

The above question was not properly written.

Complete Question

Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.

Answer:

Quadrilateral EFGH is a rectangle.l because:

EF = GH and FG = EH

Step-by-step explanation:

The formula for coordinate geometry is given as :

√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)

For the quadrilateral EFGH with given coordinates above to be a rectangle,

EF = GH

FG = EH

Hence:

For side EF

E(-4,8), F(8,4)

= √(8 - (-4))² + (4 - 8)²

= √12² + -4²

= √144 + 16

= √160 units

For side FG

F(8,4), G(5,-5)

=√(5 - 8)² + (-5 - 4)²

= √-3² + -9²

= √9 + 81

= √90 units

For Side GH

G(5,-5) , H(-7,-1)

= √(-7 - 5)² + (-1 - (-5))²

= √-12² + 4²

= √144 + 16

= √160 units

For side EH

E(-4,8), H(-7,-1)

= √(-7 -(-4))² +(-1 - 8)²

= √-3² + -9²

= √9 + 81

= √90 units

From the above calculation, we can see that truly,

EF = GH

FG = EH

Therefore, quadrilateral EFGH is a rectangle.

6 0

3 years ago

A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat

Mandarinka [93]

Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c} \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c$

what's the speed of the boat? well, 5 + c = b.

6 0

3 years ago

Ana’s age is 8 years less than 4 times her sister’s age.

allsm [11]

(5•4)-8 the answer is 12 because 5 times 4 is 20. Then 20 minus 8 is 12.

6 0

4 years ago