Which statement best describes the excluded values of a rational expression?a. The number of excluded values of a rational expression cannot exceed the degree of the numerator.
b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.
c. The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.
d. The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

Answers

Answer 1

Answer:

Answer: b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.

Step-by-step explanation:

A rational expression is a fraction in which the numerator and the denominator are polynomials. The excluded values of a rational number are that values which make denominator zero.They are basically the zeroes of the polynomial of denominator.So,the number of excluded values can't exceed the degree of the denominator.

Here is a rational expression $(x^2-6)/(x^2-4)$

where the denominator is $x^2-4=(x-2)(x+2)$

⇒x=-2,+2 are zero of polynomial $x^2-4$

i.e. -2 and 2 are the excluded values for the whole rational expression.

Answer 2

Answer:

Which statement best describes the excluded values of a rational expression?

B is the correct answer - The number of excluded values of a rational expression cannot exceed the degree of the denominator.

A rational expression is denoted in $(p)/(q)$ form; where 'p' is the numerator and 'q' is the denominator. The numerator and denominators can be polynomials. The denominator cannot be zero in general, as it makes the fraction value undefined.

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Select the correct way to write 0.28 as a fraction.

Answers

7/25 is equal to 0.28

Solve for d.5d+2(2-d)=3(1+d)+1
a)no solution
b)d=4
c)infinitely many solutions
d)d=-3

Answers

5d + 2(2 - d) = 3(1 + d) + 1
5d + 2(2) - 2(d) = 3(1) + 3(d) + 1
5d + 4 - 2d = 3 + 3d + 1
5d - 2d + 4 = 3d + 3 + 1
3d + 4 = 3d + 4
-3d    -3d
   4 = 4
   d = 0

$5d+2(2-d)=3(1+d)+1 \n 5d+4-2d=3+3d+1 \n 3d+4=3d+4 \n 0=0 \n \boxed{C.\ Infinitely\ many\ solutions}$

If a number of mice living in a field triples each year. what type of function represents this pattern?A.) Exponential decay
B.) Increasing linear
C.) Exponential growth
D.) Decreasing linear

Answers

Answer:

The type of function that represents this pattern is:

Option: C)

C.) Exponential growth.

Step-by-step explanation:

It is given that the number of mice living in a field triples each year.

This means that the population of mice is increasing at a constant rate i.e. 3 each year.

So, the function that represent this pattern is a exponential growth.

Also let P(t) be the function that represents the population of mice after 't' years.

Then P(t) is modeled as:

$P(t)=3^tP_0$

where $P_0$ is the initial population of the mice.

Hence, Option: C is the correct answer.

C) Exponential Growth.

Expotential Growth for Apex

One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.

Answers

Answer:

14 units

Step-by-step explanation:

To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.

Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:

$\begin{aligned}a^2+b^2&=c^2\na^2+7^2&=16^2\na^2+49&=256\na^2+49-49&=256-49\na^2&=207\n√(a^2)&=√(207)\na&=14.3874945...\na&=14\;\sf(nearest\;whole\;number)\end{aligned}$

Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).

Answer:

7^{2} + x^{2} = 16^{2}

49+x^2=256

x^2=207

x=14.387=14

Find the perimeter of an isosceles trianglewhose base is 40 cm and whose base angle is 70".

Answers

$cos70^o=(20)/(x)\n\ncos70^o\approx0.342\n\n(20)/(x)=0.342\n\n0.342x=20\ \ \ \ /:0.342\n\nx\approx58.5\ (cm)\n\nPerimeter:40cm+2\cdot58.5cm=157cm$

$cos70^0= (20)/(x)\n\nx= (20)/(cos70^0) \n\nthe\ perimeter\ is:\n\n P=2x+40=(40)/(cos70^0)+40 \ \ \ and\ \ \ cos70^0\approx0.3420\n\nP\approx(40)/(0.342)+40\approx156.96\ [cm]$

The average number of customers that visited a particular store during the past year is 160 per day and a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. The standard deviation of the sample mean equals ...

Answers

the standard of the Sample means 256

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