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8_murik_8 [283]
3 years ago
12

when you add a positive number and a negative number, how can you tell whether the sum will be positive or negative.

Mathematics
1 answer:
masha68 [24]3 years ago
6 0
(+x)+(-y)=+z

x = y = z0

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Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
LuckyWell [14K]

Answer:

ratio:3:3:2

total of ratio=3+3+2=8

total money=40

sara gets 5x 3/8=15

eiona gets 5x 3/8+15

david gets=5x 2/8=10

Step-by-step explanation:

5 0
2 years ago
Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

5 0
3 years ago
Do patterns excist in every thing around us ? why ,why not?<br><br>​
vichka [17]

Answer:

<em>Patterns are important because <u>they offer visual clues to an underlying order</u>. If you can unlock a pattern, then you have the ability to alter or shape it in order to achieve some effect. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.</em>

6 0
2 years ago
Which expressions are equivalent to -3x+6v+7x14?
Greeley [361]

Between the 4 and the 7 is it a multiplication or an X?

If the multiplication sign, this is the solution

- 3x + 6v + 7 \times 14 \\  =    6v  - 3x + 98

8 0
2 years ago
NEED THIS DONE ASAP!! Thank you!!​
Dovator [93]

Answer:

x=40

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(120-40)

x = 1/2(80)

x = 40

7 0
2 years ago
Read 2 more answers
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