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lord [1]
3 years ago
11

Solve. |6x − 5| < 7 Write the equivalent compound inequality < 6x − 5 <

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | < a always have solutions of the form

- a < x < a

This can be extended to include expressions, that is

- 7 < 6x - 5 < 7 ( add 5 to all 3 intervals )

- 2 < 6x < 12 ( divide all 3 intervals by 6 )

- \frac{1}{3} < x < 2

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neonofarm [45]
A and B are the correct answers.

Hope this helps.
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2 years ago
Which of the following could be its equation?
mrs_skeptik [129]

So to solve problems like these you can work out each equation by substituting the x and y with the coords from the vertex (2,-4) and which ever one is true is the corresponding equation.

Lets try the first one

A) y = 2( x-2)^2-4    this would become

  -4 = 2(2-2)^2-4    we solve this and get

   -4 = 2(0)-4

   -4 = -4  

so it seems like A is the correct answer, of course we'd wanna check out the other answers just to be sure.

Lets try one and do C

C)  -2 = 2(-4-2)^2+2  

    -2 = 2(-8)^2+2

    -2 = 130

These aren't equal so this can't be our equation


So you can also do one more just to be super sure you have the right answer but I think A is the correct one :)



5 0
3 years ago
A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc
larisa [96]

Answer:

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20

2. Hypotesis testing

H_{0}=\mu=0.70

H_{1} =\mu< 0.70

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for \alpha=0.05 is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}

Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58

5. Hypotesis Testing

Z_{\alpha}=1.56\\Z=-1.58

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As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

4 0
3 years ago
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b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.

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8 0
3 years ago
The circumference of a circle is 37.68 meters. What is the area of the circle?
german
The area of the circle is <span>112.98 m squared</span>
4 0
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