All categories

3 years ago

In the rational expression,

Mathematics

1 answer:

Travka [436]3 years ago

3 0

Answer:

The reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator is because 4x is not a factor of both the numerator and the denominator

Step-by-step explanation:

The denominator of the rational expression, x^2 + 4x - 12 given above is a quadratic equation. It is not factorizable. If we factorize the numerator, 4x - 8, we would have

4 (x - 2).

This means 4x is not a factor of the numerator(4x - 8) and neither is it a factor of the denominator (x^2 + 4x - 12). This is the reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator. The factors of the denominator can only be gotten by using the general formula for solving quadratic equations

You might be interested in

A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic uni

koban [17]

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL. From the given data

$KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.$

The volume of the cylinder is

$V_{cylinder}=\pi r^2\cdot H.$

Then

$V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.$

7 0

3 years ago

Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

nikdorinn [45]

Explanation: The given triangles are similar by Angle-Angle postulate, because all three pairs of corresponding angles are congruent.

6 0

3 years ago

Read 2 more answers

The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope

sineoko [7]

Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

$\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}$

$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$

5 0

3 years ago

Evaluate the following expression when x=-4 and y=4 x³-x /4y<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D" id="Tex

Simora [160]

Answer: - 60

Step-by-step explanation:

$\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60$

7 0

2 years ago

The formula

Tasya [4]

Answer

the answer is P=7.8

Step-by-step explanation:

P=14.7e -0.21x

X=14.7e (-0.63)

take the natrual log of both sides

1n(P)=1n(14.7e(-.63)

1n(P)=1n(14.7)-.63

(because ln(e^a) = a)

1n(P)=2.688 - .63

1n(P)=2.058

P=e 2.058

P=7.8

3 0

3 years ago