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4 years ago

ESSENTIAL QUESTION CHECK-ININHow can you use a number line to find the sum of -4 and 6

Mathematics

2 answers:

olga2289 [7]4 years ago

5 0

Yes the sum of -4 and 6 is 2

Stella [2.4K]4 years ago

3 0

Start from -4 and since its adding jump up 6 times up the number line and you get 2.
Hope it helps! Mark as brainliest!

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Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).

lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

$y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1$

So, we have:

$f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15$

Evaluate

f(x) = -2x + 3

Also, we have:

$g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36$

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

#SPJ1

7 0

2 years ago

Help please!!!!!!!!!!!!!

n200080 [17]

Answer:

A. Nothing, Paul is correct

Step-by-step explanation:

Tangent to a circle is a line that touches the circle at one point. At the point of contact, tangent to a circle is always perpendicular to the radius.
If two tangents are drawn from a common external point to a circle, then the two tangents have equal tangent segments.
Tangent segment means line joining to the external point and the point of contact to the circle.

7 0

4 years ago

What are the minimum, first quartile, median, third quartile, and maximum of the data set? 60, 50, 130, 200, 180, 150, 100, 140.

Rasek [7]

Answer:

Minimum = 50

First Quartile = 80

Median = 135

Third Quartile = 165

Maximum = 200

Step-by-step explanation:

First, it is important to reorder our values into ascending order:

50, 60, 100, 130, 140, 150, 180, 200

You've correctly identified the minimum, median and maximum values, however the quartiles are where the mistakes lie.

1. In order to calculate the first quartile, you need to look at where the median of the first half of the values is, ie. 50, 60, 100, 130

The median will be the value between (or the average of) 60 and 100:

(60 + 100)/2 = 80

Thus, the first quartile is 80.

2. In order to calculate the third quartile, we must find the median of the second half of the data set, ie. 140, 150, 180, 200

The median will be the value between (or the average of) 150 and 180:

(150 + 180)/2 = 165

Thus the third quartile is 165.

I find it's always a good idea to just draw this out and label the different values on paper to make it a bit easier.

Hope that helped! If you find anything confusing just ask :)

3 0

3 years ago

Brian compared the decimals 66.10, 21.10, and 66.11.

kogti [31]

Your answer is C hope this helps

3 0

4 years ago

Someone please help I'm so stuck

Trava [24]

The picture won't load, but I would surely help!

7 0

4 years ago