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3 years ago

The decimal 104.3 became 1,043 when multiplied by 10. The same number becomes 10.43 when multiplied by 0.10. Explain why

Mathematics

1 answer:

lisov135 [29]3 years ago

6 0

Because dividing by 0.10 is the same as dividing by 10

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Step-by-step explanation:

z=m-x+ y

z + x = y + m

x = y + m - z

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Write your answer in the form y=my+b

CaHeK987 [17]

Answer:

y= -2x+18

Step-by-step explanation:

1. The secant line is a line that passes through 2 points in the function.

2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.

3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.

4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.

5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!

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4 years ago

A lake was stocked with 360 trout. Each year, the population decreases by 10. The population of trout in

almond37 [142]

Answer:

Part A) The y-intercept is the point (0,360) and the x-intercept is the point (36,0)

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Find the intercepts

Let

x ----> the number of years

f(x) ----> the population of trout in the lake

we have

$f(x)=360-10x$

This is a linear function in slope intercept form

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

$m=-10\ \frac{trout}{year}$ ---> is negative because is a decreasing function

$b=360\ trouts$ ---> initial value

The y-intercept is the point (0,360)

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of f(x) is equal to zero

For f(x)=0

$0=360-10x$

Solve for x

$10x=360\\x=36$

The x-intercept is the point (36,0)

Part B) Graph the function

Plot the intercepts and join the points to graph the line

see the attached figure

Part C) Complete the interpretation of the intercepts

The x-intercept is the value of x when the value of f(x) is equal to zero

In this context, the x-intercept is the number of years, when the population of trouts is equal to zero

In 36 years, the population of trouts will be equal to zero

The y-intercept is the value of f(x) when the value of x is equal to zero

In this context, the y-intercept is the population of trouts when the number of years is equal to zero

Initially the population of trouts in the lake was 360 trouts

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4 years ago