1 year ago

The function f(x)=2^x and g(x)=f(x)+k if k=2 what can be concluded about the graph of g(x)?

Mathematics

1 answer:

tester [92]1 year ago

8 0

The graph of g(x) = f(x-5) is the graph of y = f(x) translated 5 units to the right.

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At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is

weeeeeb [17]

Answer:

The maximum height is 46.64 feet.

Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

So, we have the function h(t):

$h(t)=-16t^{2} + 45t + 15$

Taking the derivative, we have:

$\frac{dh(t)}{dt}=-32t + 45=0$

Now, we solve it for t:

$t=\frac{45}{32}=1.4\: s$

Finally, we put this value of t into the original equation.

$h(t)=-16(1.4)^{2} + 45(1.4) + 15$

$h_{max}=46.64\: ft$

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

I hope it helps you!

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2 years ago

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Mkey [24]

Here ya go.

Answer in picture

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19.4+24.2<br> Evaluate the expression

Lapatulllka [165]

19.4 added to 24.2 would be 43.6

ANSWER: 43.6

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3 years ago

A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones pai

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The answer is C. 50% because 50% of 5,000 is 2,500 and 2,500+5,000= 7,500

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