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tresset_1 [31]
3 years ago
5

Which of the following is a solution of 4x + 2y ≤ 6?

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

D. (1,0)

Step-by-step explanation:

Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.

Lets go through all of the possible answers:

<u>A</u>. (0,4)

4(0) + 2(4) ≤ 6

0 + 8 ≤ 6

8 ≤ 6

This is false.  8 is not less than or equal to 6.

<u>B</u>. (5,0)

4(5) + 2(0) ≤ 6

20 + 0 ≤ 6

20 ≤  6

This is false.  20 is not less than or equal to 6.

<u>C</u>. (5,7)

4(5) + 2(7) ≤ 6

20 + 14 ≤ 6

34 ≤ 6

This is false because 35 is not less than or equal to 6

<u>D</u>. (1,0)

4(1) + 2(0) ≤ 6

4 + 0 ≤ 6

4  ≤ 6

This is true, because 4 is less than 6.  

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Answer:

2.897

Step-by-step explanation:

Let us find the mean and variance for the sample first.

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Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897


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Step-by-step explanation:

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Ed has 28 blocks. Sue has 34 blocks who has more blocks? How many more?
Anna007 [38]

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Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Graph: y +2=
olga_2 [115]

Answer:

  see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

  h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

  y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

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Find the x-coordinate of the vertex of the graph of the equation y=-3x^2+6x+2
Ivanshal [37]
Consider, pls, this solution:
according to the equation y= -3x²+6x+2, where a=-3, b=6 and c=2, and the rule x₀= -b/(2a):
<u>x₀=</u>-6/(-6)<u>=1</u>.
For more info see the attached graph.

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