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2 years ago

(05.06 MC)

Mathematics

1 answer:

irina [24]2 years ago

6 0

The point (-2, 5) is not included in the solution area

<h3>The graph of the inequalities</h3>

The system of inequalities is given as:

y > 5x + 5

y > -2x+1

See attachment for the graph.

Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded

<h3>The solution area</h3>

The point is given as:

(-2, 5)

The point (-2, 5) is not in the shaded area of the system of inequalities

Hence, the point is not included in the solution area

Mathematically, we have:

5 > 5 * -2 + 5 ⇒ 5 > -5 --- true

5 > -2 * -2 +1 ⇒ 5 > 5 --- false

Since both inequalities are not true, then the point is justified

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

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What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0

1 year ago

Antonio is a freelance computer programer. In his work , he often uses the power of 2^n to find the number of ways bits (or unit

valentina_108 [34]

Answer: $2^{n} -1$

Justification:

As told in the statement, n stands for the number of bits, and $2^{n}$ is the highest number of ways n bits can be arranged in the system.

Now, Antonio wants to show that the character can collect one less key than that. So, that number is $2^{n}$ less 1, which is what the formula $2^{n}$ - 1 states.

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4 years ago

Solve.

Mkey [24]

Step-by-step explanation:

$x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271$