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Step2247 [10]
2 years ago
8

Write the fraction as an equivalent fraction with the given denominator 7/4 = _/20

Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

35/20

Step-by-step explanation:

20 divided by 4 = 5

so our multiple is 5

5 x 4 = 20

so we have to do the same to the numerator

5 x 7 = 35

Simplified= 1 3/5

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Write the set of real numbers in interval notation. {x | x ≥ −8}
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The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
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3 years ago
Find the equation of a line that is parallel to
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Answer:

g(x) = 3x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

If a line is parallel to another, they have the same slope.

Step 1: Define variables

<em>m</em> = 3

Random pt (2, 3)

y = 3x + b

Step 2: Find <em>b</em>

3 = 3(2) + b

3 = 6 + b

b = -3

Step 3: Write parallel linear equation

y = 3x - 3

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3 years ago
What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?
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3 years ago
At a​ little-known vacation​ spot, taxi fares are a bargain. A 48​-mile taxi ride takes 56 minutes and costs ​$33.60. You want t
horsena [70]

Answer:

43 - mile taxi ride = at least 49 minutes

Step-by-step explanation:

49 minutes = 27 price

8 0
3 years ago
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t
gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

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