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3 years ago

What are the slope and the y-intercept of the linear function that is represented by the table?

2 answers:

4 0

1) m = -2 & y = 6

y = mx + b
y = -2x + 6

2) m = -2 & y = 12
y = -2x + 12

3) m = 2 & y = 6
y = 2x + 6

4) m = 2 & y = 12
y = 2x + 12

seropon [69]3 years ago

3 0

Answer:

The answer is the option 2

The slope is $-2$ , and the y-intercept is $12$

Step-by-step explanation:

we have

$A(-3,18),B(0,12),C(3,6),D(6,0)$

Step 1

Find the slope

we know that

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

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

we have

$A(-3,18),B(0,12)$

Substitute the values

$m=\frac{12-18}{0+3}$

$m=\frac{-6}{3}$

$m=-2$

Step 2

Find they-intercept

we know that

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

therefore

The y-intercept is the point $B(0,12)$

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2 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

5 months ago

Miguel collected aluminum cans for recycling. He collected a total of 150 cans. If 58% of the cans he collected were soda cans h

Romashka-Z-Leto [24]

Given:

• Total number of cans collected = 150

• Percent of cans that were soda = 58%

Let's find the number of other cans he collected.

To find the number of other cans, since the percent of soda is 58%, let's find the pecent of other cans.

Percent of other cans = 100% - 58% = 42%

The percent of other cans collected was 42%.

Now, to find the number of other cans collected, let's find 42% of the total number of cans collected 150.

We have:

$42\text{ \% }\ast150\Longrightarrow0.42\times150=63$

Therefore, the number of other cans collected is 63 cans.

ANSWER:

63 cans

4 0

7 months ago