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3 years ago

G(n)=n^3-2n^2; Find g(-3)

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

g(-3)= -45

Step-by-step explanation:

$G(n)=n^{3}-2n^{2} \\$

Now you have to replace n for -3 because you have to find g(-3).

$g(-3) = (-3)^{3}-2(-3)^{2} \\= -27-18 \\=-45$

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3 years ago

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Write the word sentence as an inequality. One plus a number y is no more than -13.

kolbaska11 [484]

Answer:

1+y $\leq$ -13

Step-by-step explanation:

The problem states that one plus y is No greater than -13.

This means that is less than or equal to -13.

It also gives you one plus y, or 1+y

Put everything together to get 1+y $\leq$ -13

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2 years ago

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

Solution:

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

$\text{Distance}=\text{Speed}\times\text{Time}$

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

$\Rightarrow6x+18+6x = 162$

$\Rightarrow12x=162-18$

$\Rightarrow x=\frac{144}{12}\rightarrow x=12$

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be $x+3=12+3=15 \text{ mph}$

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2 years ago

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Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

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2 years ago

Find the oth term of the geometric sequence 9, -18, 36, ...

Sphinxa [80]

Answer:

2304

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

$:\implies$ CR = -18÷ 9 = -2

The 9 th term :-

$:\implies$ T_n = arⁿ - ¹

$:\implies$ T_9 = 9× (-2) ⁹ - ¹

$:\implies$ T_9 = 9 × (-2)⁸

$:\implies$ T_9 = 9 × 256

$:\implies$ T_9 = 2304

Hence the 10th term is 2304.

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3 years ago