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2 years ago

(Please help ASAP 16 points! Thanks in advance!) solve -2a - 5 > 3

Mathematics

1 answer:

Bas_tet [7]2 years ago

4 0

Answer:

a<-4

Step-by-step explanation:

To solve this, you have to isolate a. This means you will have to add 5 to both sides. This will make the equation -2a>8. Divide both sides by 2 to get -a>4. Divide each side by -1 to get a>-4. Because you have to flip the sign when you divide by a negative number, you have to change it into a<-4.

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A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selec

Nookie1986 [14]

Answer:

14.90 to 16.70 tons

Step-by-step explanation:

We are given;

Sample size; n = 49

Mean; x¯ = 15.8

Sample standard deviation; s = 3.85

At 90% Confidence interval, z = 1.645

Formula for confidence interval is;

CI = x¯ ± z(s/√n)

Thus;

CI = 15.8 ± 1.645(3.85/√49)

CI = 15.8 ± 0.90

CI = 14.90 to 16.70 tons

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2 years ago

25. SKETCHING Draw three noncollinear points J, K, and L.

Romashka [77]

Following are the description of the non-collinear points, and please find the attached file of the graph.

When there aren't three or even more locations on the same line, individuals would be non-columnal points.
When there is no point in all the locations, and that they are non-collinear points, as either a group.
When there is no point in all the points, and that they are non-collinear points, as a group.

Please find the attached file of the sketch of the non-collinear points.

Learn more:

brainly.com/question/20300141

7 0

3 years ago

Question in the photo

yaroslaw [1]

Using translation concepts, the equation of g(x) is given as follows:

$g(x) = -\frac{35}{x + 10} - 1$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

$f(x) = \frac{1}{x}$

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

$g(x) = \frac{1}{\frac{1}{5}}x = \frac{5}{x}$

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

$g(x) = \frac{35}{x}$

For a reflection in the y-axis, we have to find g(-x), hence:

$g(x) = \frac{35}{-x} = -\frac{35}{x}$

For a translation of 10 units left, we have to find g(x + 10), hence:

$g(x) = -\frac{35}{x + 10}$

For a translation of 1 unit down, we have to subtract one, hence:

$g(x) = -\frac{35}{x + 10} - 1$

More can be learned about translation concepts at brainly.com/question/28174785

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2 years ago

Use the method of Gauss to find the sum.1+2+3+.....+400

nikklg [1K]

Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.

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3 years ago

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netineya [11]

Answer:

Ten thousands place

Step-by-step explanation:

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3 years ago

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