MATHEMATICS HIGH SCHOOL

Let f(x) = 16x5 – 48x4 – 8x3 and g(x) = 8x2. Find f of x over g of x. a) 2x2 + 6x + 1 b)2x2 – 6x – 1 c)2x3 + 6x2 + x d)2x3 – 6x2 – x

Answers

Answer 1
Answer: The answer is d)2x3 – 6x2 – x.

It is given:
f(x)=16 x^(5)-48 x^(4) -8 x^(3)
g(x)=8 x^(2)

We should find:
f( (f(x))/(g(x)) )

So, we just need to replace it in the equation:
f( (f(x))/(g(x)) )= (16 x^(5)-48 x^(4) -8 x^(3))/(8 x^(2))

Let's now separate each member of equation:
f( (f(x))/(g(x)) )= (16 x^(5))/(8 x^(2)) - (48 x^(4))/(8 x^(2)) - (8 x^(3))/(8 x^(2)) = (16)/(8) x^(5-2) -(48)/(8) x^(4-2) -(8)/(8) x^(3-2)

f( (f(x))/(g(x)) )=2 x^(3) -6 x^(2) -x
Answer 2
Answer:

Answer:

\boxed{\boxed{(f(x))/(g(x))=2x^3-6x^2-x}}

Step-by-step explanation:

Here given that,

f(x) = 16x^5-48x^4-8x^3\n\ng(x) = 8x^2

So (f(x))/(g(x)) will be,

(f(x))/(g(x))=(16x^5-48x^4-8x^3)/(8x^2)

Applying single division,

(16x^5-48x^4-8x^3)/(8x^2)=(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)

Simplifying further,

(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)=2x^3-6x^2-x

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Which is another way to check the sum of 52+23+10+78

Answers

well first off those numbers add up to 163.

A way to check this is to add 52 with 23 which is 75 then add 78 by 10 which is 88 now add 75 with 88 which is 163

how much would $120 invested at 6% interest compounded monthly be worth after 21 years? round to the nearest cent

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.06
K compounded monthly 12
T time 21 years
A=120×(1+0.06÷12)^(12×21)
A=421.72

Hope it helps!

Need help with both question. Grateful for any help. Thanks

Answers

18) 
It says the scale factor is 1:25000, so for every one part there is actually 25000. So for every centimeter, there is actually 25000 cm. See that we multiplied by 25000. 
So for 6.8cm, multiply by 25000 to get 170000cm. 
The real distance represented is 170000cm.

19) Just work out one step at a time using order of operations. 
Do parentheses first. 7^2 = 49, and 3^3 is 3*3*3 which is 27. 
Now you have [8(49 - 27) ]/ sqrt121. 

Finish simplifying the parentheses. 49 - 27 is 22.
[8(22)] / sqrt121.

Now multiply 8 times 22, which is 176.
176 / sqrt 121 

The square root of 121 is 11.

176/11.
= 16
#18).

-- The map has a scale factor of 1:25,000.

-- Any distance on the paper map represents
25,000 times that distance in the real world.

-- If you measure 6.8 cm on the paper map,
that represents a real distance of    (25,000 times 6.8 cm).


#19).  Relax, breathe, and take it one step at a time:

=>  7² = 49
=>  3³ = 27
=> (7² - 3³) = (49 - 27) = 22
=>  8 times that is  176 .

√121  =  11 .

Can you handle it from there ?

Rewrite the function y = x2 - 6x + 14

Answers

y = x² - 6x + 14

rewrite in vertex form:

y - 14 = x² - 6x 

perfect square trinomial.
x² ⇒ x * x
-6x ⇒ -6x / 2 = -3x
-3² = 9

(x - 3)² ⇒ (x-3)(x-3) ⇒ x(x-3) -3(x-3) = x² - 3x - 3x + 9 = x² - 6x + 9

y - 14 + 9 = (x-3)²
y -5 = (x-3)²
y = (x-3)² + 5

Find the prime factors of 60 by dividing by prime numbers.​

Answers

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

60 = 2*2*3*5

which is the same as saying

60 = 2^2*3*5

Which ratio is equivalent to 4 to 5?​

Answers

Answer: 8 to 10,    16 to 25,    40 to 50

Step-by-step explanation: If you have trouble wit this in the future just multiply each number by 2,3,4,5,6...

Answer:

Two are actually equivalent, 8:10and 12:15
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