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3 years ago

How many times greater is the value of the fidget 2 in 234567 than the value of the digit 2 in 765432

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

The value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit

Step-by-step explanation:

Firstly, we need to know the value of the 2 in 234,567 and that is 200,000

The value of the 2 in 765,432 is simply 2

So the number of times the value of the first 2 is greater than the value of the second 2 is;

200,000/2 = 100,000

So the value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit

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The table represents the function f(x).

Irina18 [472]

Step 1

Find the slope of the function f(x)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

$A(-6,0)\\B(0,4)$

substitute

$m=\frac{4-0}{0+6}$

$m=\frac{4}{6}$

$m=\frac{2}{3}$

Step 2

Find the y-intercept of the function f(x)

The y-intercept is the value of the function when the value of x is equal to zero

in this problem the y-intercept of the function is the point $B(0,4)$

the y-intercept is equal to $4$

Step 3

Verify each case

we know that

the equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

case A) $f(t)=t+4$

In this case we have

$m=1\\y-intercept=4$

therefore

the function of case A) does not have the same slope as the function f(x)

case B) $f(t)=t-6$

In this case we have

$m=1\\y-intercept=-6$

therefore

the function of case B) does not have the same slope and y-intercept as the function f(x)

case C) $f(t)=\frac{2}{3}t+4$

In this case we have

$m=\frac{2}{3}\\y-intercept=4$

therefore

the function of case C) does have the same slope and y-intercept as the function f(x)

case D) $f(t)=\frac{2}{3}t+6$

In this case we have

$m=\frac{2}{3}\\y-intercept=6$

therefore

the function of case D) does not have the same y-intercept as the function f(x)

therefore

the answer is

$f(t)=\frac{2}{3}t+4$

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valina [46]

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DiKsa [7]

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8 0

3 years ago

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A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

mars1129 [50]

Answer:

$y=\frac{3}{4}x$

Step-by-step explanation:

If it is a direct variation function, then $\frac{y}{x}=k$ .

$k$ can be found by choosing a point and doing $y$ divided by $x$ .

So we can find $k$ by doing -6 divided by -8 or 9 divided by 12.

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$\frac{y}{x}=\frac{3}{4}$

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Oksanka [162]

Answer:

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