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dangina [55]
3 years ago
10

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid

straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

The true option about the solution to the system of inequalities shown is  B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).

<h3>How to explain the inequality?</h3>

Plot these ordered pairs on a coordinate plane and connect them by straight lines.

The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.

From the below graph it is clear that all values are satisfied.

Learn more about inequality on:

brainly.com/question/24372553

#SPJ1

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How to express exponential equation, 3^c = 27 , as a logarithmic equation
trasher [3.6K]

If you consider the logarithm base 3 of both sides, you have

\log_3(3^c) = \log_3(27)

You can use a rule of logarithms that allow you to turn exponents into multiplicative factors:

\log_a(b^c) = c\log_a(b)

So the equation becomes

c\log_3(3)=\log_3(27)

Now, by definition, you have

\log_a(b)=c \iff a^c=b

So, you have

\log_3(3)=x \iff 3^x=3 \iff x = 1,\quad \log_3(27)=y \iff 3^y=27\iff y=3

So, the equation becomes

1\cdot c = 3 \iff c=3

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4 years ago
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HELP!!!!! PLZ The values in the table represent a linear function. What is the common difference of the associated arithmetic se
adell [148]

Answer:

The common difference is 14

Step-by-step explanation:

The series goes 11,25,39,53,67

To find the common difference, take the second term and subtract the first term.

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3 years ago
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ziro4ka [17]

Answer:

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Step-by-step explanation:

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We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

4 |_ 15

we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

  30  0.2

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100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

  30  0.266.....

  100

    100

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So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

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3 years ago
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NNADVOKAT [17]

Answer:

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Step-by-step explanation:

Integers can be positive or negative.

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