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cupoosta [38]
3 years ago
14

HELP!!Find the third term of (x^2+3y)^3

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer:

T_{3}=27{x}^{2}y^2

Step-by-step explanation:

The given binomial expression is:

( {x}^{2} + 3y)^{3}

When we compare to:

{(a +b)}^{n}

We have

a =  {x}^{2}

b = 3y \\ n = 3

The nth term is given by;

T_{r+1}=^nC_ra^{n-r}b^r

To find the 3rd term, we put:

r + 1 = 3 \\ r = 2

We substitute into the formula to get:

T_{3}=^3C_2( {x}^{2} )^{3-2}(3y)^2

We simply:

T_{3}=3( {x}^{2} )^{1} \times 9y^2

T_{3}=27{x}^{2}y^2

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Jamar used his Chase credit card to purchase groceries for $25.87, gas for $ 42.25, and a video game for $52.24 this month. How
Artist 52 [7]

Answer:

$120.36

Step-by-step explanation:

The computation of the amount that should be pay to his credit card is as follows;

= Purchase of groceries + gas charges + video game

= $25.87 + $42.25 + $52.24

= $120.36

He has to pay the above amount to his credit card company to avoid the interest charges on these purchases

3 0
3 years ago
Find g(5) and f(g(5))<br><br> f(x)=x^2-x+2<br> g(x)=4x-3<br><br> g(5)=<br><br> f(g(5))=
Dennis_Churaev [7]

Answer:

g(5)=17

f(g(5))=274

Step-by-step explanation:

1. First you must substitute x=5 into g(x), then you obtain:

 g(x)=4x-3\\

g(5)=4*5-3

g(5)=17

2. Now, you must insert g(x) into f(x), as you can see below:

f(x)=x^{2}-x+2

f(g(x))=(4x-3)^{2}-(4x-3)+2

3. Finally, you must susbtitute x=5 into f(g(x)), as following:

 f(g(5))=(4*5-3)^{2}-(4*5-3)+2

 f(g(5))=274

8 0
4 years ago
Read 2 more answers
PLS HELP ILL GIVE BRAINLIST!
QveST [7]

Answer:

4.8

Step-by-step explanation:

7 0
3 years ago
A computer purchased for $1,050 loses 19% of its value every year.
ryzh [129]

Answer:

A) a = 1050 and b = 0.81

B) 3.3

Step-by-step explanation:

Original price of the computer = $ 1050

Rate of decrease in price = r = 19%

This means, every year the price of the computer will be 19% lesser than the previous year. In other words we can say that after a year, the price of the computer will be 81% of the price of the previous year.

Part A)

The exponential model is:

v(t)=a(b)^{t}

Here, a indicates the original price of the computer i.e. the price at time t = 0. So for the given case the value of a will be 1050

b represents the multiplicative rate of change i.e. the percentage that would be multiplied to the price of previous year to get the new price. For this case b would be 81% or 0.81

So, a = 1050 and b = 0.81

The exponential model would be:

v(t)=1050(0.81)^{t}

Part B)

We have to find after how many years, the worth of the computer will be reduced to half. This means we have the value of v which is 1050/2 = $ 525

Using the exponential model, we get:

525=1050(0.81)^{t}\\\\ 0.5=(0.81)^{t}\\

Taking log of both sides:

log(0.5)=log(0.81)^{t}\\\\ log(0.5)=t \times log(0.81)\\\\ t = \frac{log(0.5)}{log(0.81)}\\\\ t = 3.3

Thus, after 3.3 years the worth of computer will be half of its original price.

3 0
3 years ago
Pls help I am falling
Alla [95]

Answer:

152.98 square m but u can round off and write 153 square m

Step-by-step explanation:

8 0
3 years ago
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