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andrew-mc [135]
2 years ago
9

Determine if the equation y = 2(0.45)x represents exponential growth or decay

Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0
We have that
y = 2(0.45)^x

in this problem 
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent

we know that
</span><span>If the base  is less than 1 (but always greater than 0), the function will be exponential decay
</span>It is decay because as x values increase, y values decrease.
<span>0.45 < 1  and 0.45 > 0
therefore

the equation
</span>y = 2(0.45)^x
represents <span>exponential decay
</span>
the answer is
exponential decay<span>

</span>
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3 years ago
Which value of a would make the following statement true? -3(2x + a) = -6x + 15
klemol [59]
Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

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6 0
3 years ago
Lesson 1 Homework
Nonamiya [84]

128

This question requires us to solve an infinite GP

As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as  

64(1,0.5,0.25,0.125,....\infinity∞)  (64 used as 16*4 = 64 is the area of the first rectangle)

We have  S∞=a/(1-r) where a is the first term and r is the common ratio of the GP for summing an infinite GP.

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a=64  \\   r=0.5

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5 0
1 year ago
If y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
drek231 [11]

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = \frac{kx}{z} ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = \frac{yx}{z} = \frac{16(42)}{2} = 336

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y = \frac{336(8)}{14} = 192

8 0
3 years ago
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