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2 years ago

Hi I need help with this question please!!! I don’t understand it :/

Mathematics

2 answers:

Paladinen [302]2 years ago

7 0

The above answer is correct. Great job

elena-s [515]2 years ago

3 0

Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

$\frac{1}{2}$ g(3) - h(16)

= $\frac{1}{2}$ × - 3(3)² - (2 $\sqrt{16}$ + 1)

= $\frac{1}{2}$ × - 3(9) - (2(4) + 1)

= $\frac{1}{2}$ × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

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Show that if f(n) is O(g(n)) and d(n) is O(h(n)) then f(n) + d(n) is O(g(n) + h(n)).

GaryK [48]

$f(n)\in\mathcal O(g(n))$ is to say

$|f(n)|\le M_1|g(n)|$

for all $n$ beyond some fixed $n_1$ .

Similarly, $d(n)\in\mathcal O(h(n))$ is to say

$|d(n)|\le M_2|h(n)|$

for all $n\ge n_2$ .

From this we can gather that

$|f(n)+d(n)|\le|f(n)|+|d(n)|\le M_1|g(n)|+M_2|h(n)|\le M(|g(n)|+|h(n)|)$

where $M$ is the larger of the two values $M_1$ and $M_2$ , or $M=\max\{M_1,M_2\}$ . Then the last term is bounded above by

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from which it follows that

$f(n)+d(n)\in\mathcal O(\max\{g(n),h(n)\})$

3 0

2 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

Leni [432]

Answer:

Step-by-step explanation:

Co-efficient = number multiplied by a variable

The only number multiplied by a variable is 15, therefore, it's the co-efficient.

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4 0

1 year ago

A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa

lyudmila [28]

The kids have to wait for 1 hour to get their bags.

Step-by-step explanation:

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

The speed of the bus was 60 mph.
It took kids 3 hours to reach the camp.

To find the distance traveled by the bus :

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

To find the time taken by the truck to reach the camp :

The speed of the truck was 45 mph.
We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

To find how long the kids have to wait for their bags :

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

7 0

2 years ago

Why might soft drink companies be interested in the dimensions that give the minimum surface area?

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When surface area is minimized, that means the less material companies would have to use for the can. Companies can spend less money on aluminum for the can and still hold the same amount of that beverage inside the can.

8 0

2 years ago

Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more

dmitriy555 [2]

An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

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5 0

1 year ago