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3 years ago

Which function has the greater rate of change?

Mathematics

1 answer:

Gnoma [55]3 years ago

3 0

Answer:

Function 1

Step-by-step explanation:

Function 1:

$y=\dfrac{5}{6}x+10$

The rate of change of the function 1 is:

$\dfrac{5}{6}\approx 0.83$

Function 2:

The rate of change of the function 2 is:

$\dfrac{15.75-14.25}{1-(1)}=\dfrac{1.5}{2}=0.75$

Hence, the greater rate of change has function 1.

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If an ambulance has an average speed of 0.83 miles per minute and an average response time of 8 minutes, what is the average dis

Mrac [35]

Answer: The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Step-by-step explanation:

Hi, to answer this question we have to apply the speed formula:

Speed rate = distance / time

Replacing with the values given:

0.83 miles per minute = d / 8 minutes

Solving for d (distance)

0.83 mpm x 8 m =d

d =6.64 miles

The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

Mitch needs four 10 gram samples of NaCl (Sodium Chloride) for an experiment. Mitch is using a balance that measures to 1/10 of

trapecia [35]

the complete question in the attached figure

The answer is the option A 9.9 grams
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2 years ago

f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t

postnew [5]

Answer:

The function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

Step-by-step explanation:

The given function is

$f(x)=-(0.2)^x$

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

$g(x)=kf(x+b)+c$

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

$g(x)=\frac{1}{6}(-f(x-9))$