Given f(x) = x

Mathematics

1 answer:

Usimov [2.4K]4 years ago

6 0

Answer:

Step-by-step explanation:

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The exponential model A=429e 0.024t describes the population, A, of a country in millions, t years after 2003. Use the model t

d1i1m1o1n [39]

Answer:

Year 2,590

Step-by-step explanation:

In this question, we are asked to calculate the year at which the population of a country will be a certain amount given the exponential equation through which the equation proceeds.

Let’s rewrite the exponential function;

A = 429e^0.024t

Now here, our A is 559,000,000

t is unknown

Let’s substitute this value of A in the exponential equation;

559,000,000 = 429 * e^0.024t

559,000,000/429 = e^0.024t

1,303,030.303030303 = e^0.024t

Let’s take the logarithm of both sides to base e, we have;

ln(1,303,030.303030303) = ln(e^0.024t)

14.08 = 0.024t

t = 14.08/0.024

t = 587 years

Now, we add this to year 2003 and this gives year 2590

7 0

4 years ago

X-6y-7=0. What is equation in general form.

son4ous [18]

Answer:

y=1/6x-7/6

Step-by-step explanation:

-6y = -x + 7

y = x/6 - 7/6

This is assuming you mean in standard form.

Also, you may have to write it as 'y=1/6x-7/6'

6 0

4 years ago

Add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3<br>

ANTONII [103]

The addition of the polynomial $x^{3}+3xy-2xy^{2} +y^{3}$ with $2x^{3}-5x^{2} y-3xy^{2}-2y^{3}$ is $3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}$ .

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add $x^{3}+3xy-2xy^{2} +y^{3}$ and $2x^{3}-5x^{2} y-3xy^{2}-2y^{3}$

The sign after addition or subtraction will always be of the variable having more value.

$(x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})$