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

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 m (slope) and b (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 $X\cdot Y$ and $X\cdot X$ 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 b and m:

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

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?

vichka [17]

Answer:

Patterns are important because they offer visual clues to an underlying order. 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.

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

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