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3 years ago

Which of the following is a one-to-one function?

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:B

Step-by-step explanation:

Individual value of x gives only one certain value of f(x)

2 different value of x will not result in same value of f(x)

Thus it is one-one

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The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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5 0

1 year ago

Solve the radical equation. which is an extraneous solution to the radical equation? x = −1 x = 1 x = 5 there are no extraneous

qwelly [4]

Hence, the correct option is (D)There are no extraneous solutions to the equation.

<h2>What is an expression?</h2>

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

<h3>How to solve?</h3>

the correct option is (D)There are no extraneous solutions to the equation.

to learn more about expressions: brainly.com/question/1859113

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8 0

1 year ago

During curfew Mr and Mrs Langbauer like to go for a walk. Mr. Langbauer keeps track of their time and total distance walked. He

Dimas [21]

Answer:

hiytg

Step-by-step explanation:

8 0

3 years ago

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is

Tamiku [17]

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

5 0

3 years ago

"What is the probability of drawing a jack or queen from a standard deck of cards?"

Natasha2012 [34]

Well, there are 52 cards in a deck, with 4 suits. there is a Jack and queen per suit, so that is a total of 8 jacks and queens in the deck. that probability looks like 8:52 as a ratio, or 2:13 simplified. so, you are likely to draw a Jack or queen 8 out of 52 times, or 2 out of 13 times

5 0

3 years ago