How do you solve 6x-2(x-3)

Help please!!!!!!!!!

Dominik [7]

Number two:two thirds equals eight twelfths

Number six:ten fifthteenths or two thirds

7 0

2 years ago

PLEASE ANSWER ASAP!!

Rufina [12.5K]

Answer:

The instantaneous rate of increase of f(x) at $x_{0} = 3$ is 3.
One possible equation of this line is y = 3x - 16.
The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

Step-by-step explanation:

$\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}$ .

$f(3) = 3^{3} - 4\times 3^{2} + 2 =-7$ .

In other words, the graph of y = f(x) passes through the point (3, -7) where $x = 3$ .

The point-slope form of a line in a cartesian plane is:

$y - y_0 = m (x - x_0)$ .

For this line,

$(3, -7)$ is the point on the line, while

$3$ is the slope of the line.

The equation of this line will thus be

$y - (-7) = 3(x - 3)$ .

That's equivalent to

$y = 3x - 16$ .

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

4 0

3 years ago

Describe the relationship between the 6

Maru [420]

The relationship between the 6 in 45,369 and the 6 in 67,420 is that; Clearly, they are not the same values. When written out, 45,369 has a 6 in the tens place, whereas 67,420 has a 6 in the hundreds of thousands place. This is further explained below.

<h3>What are relations b/w numbers?</h3>

Generally, A percentage is another name for this concept. One variant of this word is the "percent," which refers to the ratio of the number of items in a collection to the total number of items in the collection.

In conclusion, natural numbers are a component of the number system that counts from one to infinity and contains all positive integers from one to infinity. Natural numbers are also utilized for the purpose of counting. It does not contain zero (0). In point of fact, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. are sometimes referred to as counting numbers.

The six that are found in the number 45,369 and the six that are found in the number 67,420 are related in the sense that; Obviously, these are not the same values. In written form, the number 67,420 has a six in the tens place, but the number 45,369 has a six in the hundreds of thousands place.