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marusya05 [52]
1 year ago
10

In order to graph the inequality using a graphing calculator, tell what function to enter for the boundaryline, whether the grap

h should be shaded above or below the line, and if the boundary line is included inthe solution.63+7y>xThe boundary line is given by the functionThe graph is shaded _____ the line, and the boundary line ______ included in the solution.
Mathematics
1 answer:
MissTica1 year ago
3 0

Answer:

• 63+7y=x

,

• Above

,

• Is not Included

Explanation:

Given the inequality:

63+7y>x

To get the boundary line, we replace the inequality sign with an equality sign.

• The boundary line is given by the function 63+7y=x

Since the inequality is greater than:

• The graph is shaded ,above, the line

,

• The boundary line ,is not, included in the solution so we use a dotted line.

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A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a
slava [35]

Answer:

6 blue marbles

Step-by-step explanation:

Given;

Total number of marbles N = 15

probability of randomly selecting a green marble

P(G) = 1/5

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25

P(G∩B) = P(G) × P(B)

P(B) = P(G∩B) ÷ P(G)

The probability of selecting a blue marble

P(B) = 2/25 ÷ 1/5 = 2/5

The number of blue marbles N(B) = P(B) × N

N(B) = 2/5 × 15 = 6

There are 6 blue marbles

7 0
3 years ago
Jesse borrowed $16,000 to purchase a new car. He borrowed the money from his local bank by taking out a loan that he would need
rodikova [14]
The answer is $630.57

You first need to add both the borrowed money and the interest then divide it all by 30

$16,000+$2,917.10= $18917.10

$18917.10/30= $630.57
8 0
3 years ago
3
Marianna [84]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Step-by-step explanation:

Let us revise some logarithmic rules

  • log(a)^{n}=nlog(a)
  • log(ab)=log(a)+log(b)
  • nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴  10 log(x) = log(x)^{10}

- Then re-write 5 log(64)

∴  5 log(64) = log(64)^{5}

∴ 10 log(x) + 5 log(64) = log(x)^{10} + log(64)^{5}

- Use the 3rd rule above to make it single logarithm

∵ log(x)^{10} + log(64)^{5} = log[(x)^{10}][(64)^{5}]

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(64)^{5}]

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as 2^{6}

∴ (64)^{5}=(2^{6})^{5}

- Multiply the two powers of 2

∴ (64)^{5}=(2)^{30}

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(2)^{30}]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
Sidana [21]

Answer:

Yes

Step-by-step explanation:

rectangle a has a 2 to 3 ratio in length and width same with rectangle b

8 0
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dimensions of a house are 300 feet by 125 feet . if 1 inch represent 50 feet what are the dimensions of the house on the drawing
Leya [2.2K]
The house would be -1,304 inches
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