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2 years ago

8

Which graph represents the function y = 2/3x -2.?

1 answer:

arlik [135]2 years ago

7 0

second one to the right

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BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 −

exis [7]

$\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}$

3 0

2 years ago

The maximum value of 12 sin 0-9 sin²0 is: -

jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be $\theta$ rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

$f(\theta) = 12sin(\theta) - 9 sin^2(\theta)$

Taking the first derivative of this with respect to $\theta$ and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of $f(\theta)$ w.r.t $\theta$ is

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)$

And setting this = 0 gives

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0$

Eliminating $cos(\theta)$ on both sides and solving for $sin(\theta)$ gives us

$sin(\theta) = \frac{12}{18} = \frac{2}{3}$

Plugging this value of $sin(\theta)$ into the original equation gives us

$12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4$

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0

1 year ago

If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there w

Luba_88 [7]

Answer:

<em>45 possible connections</em>

<em />

Step-by-step explanation:

The general equation for finding the possible number of connections in a network is given as

$\frac{n*(n - 1)}{2}$

where n is the number of computers on the network.

for 4 computers, we'll have

$\frac{4*(4 - 1)}{2}$ = $\frac{4*3}{2}$ = 6

for 5 computers, we'll have

$\frac{5*(5 - 1)}{2}$ = $\frac{5*4}{2}$ = 10.

therefore, for 10 computers, we will have

$\frac{10*(10 - 1)}{2}$ = $\frac{10*9}{2}$ = <em>45 possible connections</em>

3 0

2 years ago

Shirley graphed the line shown on the coordinate plane

Rus_ich [418]

But this is not a question. proof? no question mark

8 0

2 years ago

Expression tha have the same vaule

Vedmedyk [2.9K]

I don't know if this is the answer that you are looking for, but would the answer be all solutions?

6 0

3 years ago