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2 years ago

Consider functions f and g defined by the graph and the table. Please help me ASAP

Mathematics

1 answer:

Fed [463]2 years ago

3 0

Answer:

Step-by-step explanation:

Given are two functions represented one by graph and another by table

We can check the given statement one by one

1) $f(2)=18 : f(0) =15$

Average rate of change = $\frac{18-15}{2-0} =1.5$

For g(x) avg rate of change

= $\frac{g(2)-g(0)}{2-0} \\=4$

Hence g has a higher average rate of change than f.

True

2)f is linear and eventually exceeds g (f(0)>g(0) . True

3) True because y intercept is 10 for f while 8 for g

4) True because f(3) <g(3)

5) False both cannot be linear

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Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burn

Lena [83]

Answer:

170 divided by 30 or calories divided by minutes

Step-by-step explanation:

the answer could be either but they both mean the same thing just in different words

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2 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

1 year ago

Help me pls i give brainliest

Yakvenalex [24]

Answer:

away from the origin at a decreasing velocity

Step-by-step explanation:

I think this is right.

I hope this helps! (✿◕‿◕✿)

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3 years ago

A tourist purchases a car in england and ships it home to the united states. the car sticker advertised that the car's fuel cons

Valentin [98]

<u>Solution-</u>

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1 UK gallon = 4.5459631 lit

1 US gallon = 3.7853060 lit

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$\Rightarrow 1 \ UK \ gallon = 1.2009499 \ US \ gallon$

As the fuel consumption rate = 40 miles per gallon

⇒ You need 1 UK gallon of fuel to go 40 miles

⇒ You need 1.2009499 US gallon of fuel to go 40 miles

Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel

⇒ To go 1 mile you will need $\frac{1.2009499}{40} = 0.0300237$

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∴ 22.1574906 gallon of fuel is actually required.

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2 years ago

Please someone help please

Helga [31]

Answer:

Step-by-step explanation:

d=m+a/n

Firstly, we multiply n to get rid of it by both sides. Since n is dividing a.

d=m+a/n

*n *n

dn=m+a

-m -m

a=dn-m

8 0

2 years ago

Read 2 more answers