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ValentinkaMS [17]

1 year ago

6

The graph shows a system of inequalities.

1 answer:

monitta1 year ago

4 0

The graphed system of inequalities is:

y ≥ x^2 - 2x - 3
y ≤ x + 3

So the correct option is the third one.

<h3>Which system is represented by the graph?</h3>

On the graph we can see that the two lines are solid, so we need to use the symbols ≤ and ≥. (If instead, we had dashed lines, then we would need to use the symbols > and <).

We also can see that the region above the parabola is shaded (the shaded region represents the region of solutions for each inequality), and the region below the line is shaded, then the system of inequalities is of the form:

y ≥ parabola.
y ≤ line.

Only with that, we conclude that the correct option is the third option:

y ≥ x^2 - 2x - 3
y ≤ x + 3

If you want to learn more about systems of inequalities:

brainly.com/question/9774970

#SPJ1

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frosja888 [35]

Answer:

.6 gallons per minute

Step-by-step explanation:

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8 0

3 years ago

Tanya writes the number 7.05. Bryce says he can write a different number using the same digits. Is he correct?

Bad White [126]

Yes, actually a couple:
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8 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B3x%7D%20.sinx" id="TexFormula1" title="f(x)=e^{3x} .sinx" alt="f(x)=e^{3x} .

Maslowich

Answer:

6

Step-by-step explanation:

đạo hàm cấp 2 của f(x) rồi thế 0 vào

8 0

2 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

mina [271]

I don't have the answer for the second one, but the answer to number 1 is 9.

6÷2(1 + 2) =

6÷2(3) =

3(3) =

9

5 0

3 years ago