2 years ago

True or false: the following equation is in standard form. (x - 4.2)^2 - 3 = 0

Mathematics

1 answer:

natita [175]2 years ago

3 0

Answer:

false

Step-by-step explanation:

standard form cannot contain fractions or decimals

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How do you solve the literal equation y=4/5x-9?

Wewaii [24]

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3 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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2 years ago

There are 150 calories in a cup of whole milk and only 80 in a cup of skim milk. In switching to skim milk, find the percent dec

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Answer:

53.3%

Step-by-step explanation:

80/150=160/300

160/300=53.33/100

The decrease in calories is 53.3%

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What is the value of the 8 in the number 8,644.58

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