Identity the section with the least spread in data and explain what this means?

Translate the sentence into an equation

Mrrafil [7]

4b+6=5 —— that’s correct because it’s asking for the sum of 4 times and number and 6=5 and sum is addition

8 0

3 years ago

Help me out with this

elena55 [62]

Let's follow the transformations that happen to A, to get to A' and A''.

Point A is at (-5, -2)

It moves to (-5, 2) which is where A' is located. Note the x coordinate stays the same while the y coordinate flips from negative to positive. This must mean we applied a reflection over the x axis.

That rule in general is $(x, y) \rightarrow (x,-y)$

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Now compare A'(-5,2) and A''(1,4). We can shift A' 6 units to the right and then 2 units up so we move from A' to A''.

Algebraically this is stated as $(x,y) \rightarrow (x+6, y+2)$

Whatever the x coordinate is, add 6 to it. For the y coordinate, we add on 2.

Applying that rule to B'(-1,2) gets us to

$(-1,2) \rightarrow (-1\textbf{+6}, 2\textbf{+2}) = (5,4)$

which is the proper location of B''

The same applies to moving C' to C''

$C' = (-5, 0) \rightarrow (-5\textbf{+6}, 0\textbf{+2}) = (1, 2) = C''$

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In summary, we started off by reflecting over the x axis. Then we applied the translation rule of "shift to the right 6 units, shift up 2 units".

In terms of algebra, combining the rules $(x,y) \rightarrow (x,-y)$ and $(x,y) \rightarrow (x+6, y+2)$ will have us end up with $(x,y) \rightarrow (x+6, -y+2)$

3 0

4 years ago

Using only odd numbers for numerators, write two different subtraction problems that have a difference of 1/2.

Korvikt [17]

3/4 - 1/4 = 2/4 = 1/2

5/8 - 1/8 = 4/8 = 1/2

5 0

4 years ago

Read 2 more answers

$3000 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to triple. (A

arsen [322]

Answer:

$36.62\ years$

Step-by-step explanation:

The value of r is the question is

r=0.03

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$3,000\\A=\$9,000\\r=0.03$

substitute in the formula above

$9,000=3,000(e)^{0.03t}$

solve for t

$3=(e)^{0.03t}$

Apply ln both sides

$ln(3)=ln[(e)^{0.03t}]$

Apply property of logarithms

$ln(3)=(0.03t)ln[(e)]$

Remember that

$ln(e)=1$

$ln(3)=(0.03t)$

$t=ln(3)/(0.03)=36.62\ years$

5 0

3 years ago

Solve for x. 3(x-1)-8=4(1+x)+5 Also could someone please explain how to do this??

Marianna [84]

9514 1404 393

Answer:

x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

3x -11 -3x = 4x +9 -3x

-11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

-11 -9 = x +9 -9

-20 = x . . . . . . . . . . this is the solution

__

Check

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

Additional comment

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a positive result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

3 0

3 years ago