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3 years ago

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Which graph shows the solution to the system of linear inequalities? y>2/3x+3 y ≤ -1/3x+2

1 answer:

Gala2k [10]3 years ago

5 0

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

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Solve f (x) = 32^x+6•1/2 = 8^x-1

emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation $f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

$32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

Now, we shall determine the value of x.

The term $8^{x-1}$ can be written as $\left(2^{3}\right)^{x-1}$

Hence, we have,

$32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Also, the term $32^{x+6}$ can be written as $\left(2^{5}\right)^{x+6}$

Thus, we have,

$\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Applying the exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we have,

$2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}$

$2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}$

If $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

$5(x+6)-1=3(x-1)$

Simplifying, we get,

$5x+30-1=3x-3$

$5x+29=3x-3$

$2x+29=-3$

$2x=-32$

$x=-16$

Therefore, the value of x is -16

Hence, Option B is the correct answer.

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3 years ago

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Dvinal [7]

I'm not exactly sure, so if I'm wrong please correct me.

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7 0

3 years ago

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Ganezh [65]

Answer:

a

Step-by-step explanation:

everything else there are gaps in between like b and in c they are overlapping

6 0

2 years ago

Read 2 more answers

The nth term is a sequence is 2n-1 the nth term in a different sequence is 3n+1

stepladder [879]

answers

6n² - n - 1

Step-by-step explanation:

2n x 3n +2n - 3n - 1

5 0

2 years ago

Which of the<br> following is not a<br> function?<br> PLEASE HELP<br> 15 POINTS OR BRAINLIST

stira [4]

Answer:

Answer Choice D

Step-by-step explanation:

Does not pass the vertical line test but the rest of the answer choices do which makes D not a function and your solution.

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2 years ago