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3 years ago

1. Find all the zeros of the polynomial P(x) = 2x^3 – x^2 – 4x+3

Mathematics

2 answers:

umka21 [38]3 years ago

4 0

Answer:

nicce

Step-by-step explanation:

Firlakuza [10]3 years ago

4 0

Since -1 is a zero, (x+1) is a factor.
If you know how to do polynomial division, you can divide P(x) by (x+1) to give a quadratic.

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Use the slope formula to determine the slope of the line that passes through the points A(-5, 9) and B(-5, 6).

Anit [1.1K]

Answer:

undefined

Step-by-step explanation:

The slope formula tells you the slope is ...

m = (y2 -y1)/(x2 -x1)

Fill in the point coordinates, we find the slope to be ...

m = (6 -9)/(-5 -(-5)) = -3/0

This slope is undefined.

___

It means the line is a vertical line. The constant must match the x-coordinates of the points:

x = -5 . . . . the line through the given points

3 0

3 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

Is the triangle a right triangle? Explain.

Eddi Din [679]

Answer:

The triangle is not a Right Triangle because the two acute angles aren't exactly 45 degrees.

Step-by-step explanation:

4 0

3 years ago

Chang knows one side of a triangle is 13cm which set of two sides is possible for the lengths of the other two sides of this tri

Nikolay [14]

Use the Pythagorean Theorem to check out these possibilities (which you really do need to share here).

Note that 13^2 = 12^2 + 5^2, so 12 and 5 are a possible set of side lengths here.

4 0

3 years ago

117 over 200 as a percent

Natasha_Volkova [10]

117 times 100 11700 then divide by 200 which is 58.5 %

6 0

3 years ago

1. Find all the zeros of the polynomial P(x) = 2x^3 – x^2 – 4x+3​

1. Find all the zeros of the polynomial P(x) = 2x^3 – x^2 – 4x+3