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4 years ago

11

I don't know what is the rule I know that this graph is a exponential decay table I don't know how to find the rule can anyone h

elp me

1 answer:

jarptica [38.1K]4 years ago

6 0

Answer is c just in place of x subst x values and your y will come out

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Simplify the expression

Stolb23 [73]

Answer:

A. ${x}^{3} - x - \frac{6}{2x + 3}$

Step-by-step explanation:

$\frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}$

8 0

3 years ago

In Exercise, find the derivative of the function.<br> y = 3ex - xex

nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function $y=3e^{x}-xe^{x}$ "

answer: $\frac{dy}{dx}=(2-x)e^{x}$ .

Step-by-step explanation:

From the equation, $y=3e^{x}-xe^{x}$ , we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

$\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\$

For the differentiation of a product we have

f(x)=u(x)v(x), then

$\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)$

hence if we go by the formula we arrive at

for $y=3e^{x}$

let u(x)=3 hence du/dx=0 and

$v(x)=e^{x}$ and $\frac{dv(x)}{dx}=e^{x}$

hence $\frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\$

Also for $y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2$ .

if we add equation 1 and equation 2 we arrive at

$\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}$ .

4 0

4 years ago

Debra bought 16 pounds of sugar for $7.<br> How many dollars did she pay per pound of sugar

NNADVOKAT [17]

She paid .43¢ or .44¢for each pound

7 0

3 years ago

25 points America explain

Gnesinka [82]

Answer:

Degree of length: 1

Degree of width: 1

Degree of height: 3

Degree of volume: 5

Explanation:

The degree, for example, is the 2 in 3x²-1 or the 3 in x³·5x²-4. Because the highest exponent in the equation determines the degree or something like that so yea i got u fam.

5 0

3 years ago

Determine whether the ordered pair is a solution of the given system. (3,10); y greater than 2xplus3 y less than 3xplus1 Is

-BARSIC- [3]

Answer:

(3,10) is not a solution of the given system.

Step-by-step explanation:

Testing the point (3,10) for the system of inequalities, where 3 is the x coordinate, and 10 the y-coordinate, then:

$\left\{\begin{matrix}y &> 2x+3 & \\y& 2(3)+3\Rightarrow 10>9 \: False\\10>3(3)+1\Rightarrow 10 >10 \: False$

So the point (3,10) is not a solution of the given system.

5 0

4 years ago