MATHEMATICS HIGH SCHOOL

What is the correct answer to number 9? Please explain step by step.

Answers

Answer 1

Answer:

Answer:

The answer to your question is Momentum = $((x + 2)^(2))/(x - 3)$

Step-by-step explanation:

Data

mass = $(x^(2)+ 4x + 4 )/(x^(2)- 9)$

velocity = $(x^(2)+ 5x + 6)/(x + 2)$

Formula

Momentum = mass x velocity

Substitution

Momentum = $(x^(2)+ 4x + 4)/(x^(2)- 9) (x^(2) + 5x + 6)/(x + 2)$

Factor The first numerator is a perfect square trinomial and the second one is a trinomial of the form x² + bx + c.

Momentum = $((x + 2)^(2))/((x - 3)(x + 3)) ((x + 2)(x + 3))/(x + 2)$

Simplify and result

Momentum = $((x + 2)^(2))/(x - 3)$ or $(x^(2) + 4x + 4)/(x - 3)$

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Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags. How many bags of mixed nuts does she have.

Answers

The total number of bags of mixed nuts with Carmela are 5.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Carmela who mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags.

We can write the equation as -

(3/4 + 1/2 + 1/4) x 1000 = (3/10) x 1000 x n

1.5 x 1000 = 3 x 100 x n

1.5 x 10 = 3n

15 = 3n

n = 5

Therefore, the total number of bags of mixed nuts with Carmela are 5.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

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Answer:

Step-by-step explanation:

5. To rent a van, a moving company charges a daily fee plus a fee per mile.The table shows the total cost, c, and the number of miles driven, d.
Write an equation in slope intercept form to represent this situation

Answers

c = 10d+ 45 ? Hope this helps? Let me know if it’s right or not.

PLease help me with this i am having soo much truble with itA family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?
a. 38x2
b. 42x2 – 4x2
c. 42x2 – 2x2
d. 38x2

Answers

Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool :
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2 = 42 x² - 4 x² π
The answer must be in terms of π:
B ) 42 x² - 4 x² π

I don't know how to do this

Answers

part a : a coefficient is 10.5

a variable is c

a constant is 50

part b : $618.50

part c : the coefficient would change because instead of it being 10.5 in front of the variable "h" it is now 11.25 in front of the variable.

Part A. h and c are variables 10.15 and 15 are coefficients 50 is the constant
Part B.Put h=37 and c=12
Part C.$11.25 instead of 10.15 i.e. eq. becomes 11.25h + 15c + 50

When factored completely, the expression p^4-81 is equivalent to what?

Answers

differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)

Hello,

p^4-3^4=(p²+9)(p²-9)=(p-3)(p+3)(p²+9) [in R]
[(maybe (p-3)(p+3)(p-3i)(p+3i) in C]

What is the difference? –4.16 – (–2.3)A.
–6.46

B.
–1.86

C.
1.86

D.
6.46

Answers

Simple...

you have -4.16-(-2.3)

but remember there's a negative in front of the (-2.3) so that gets switched into +2.3....

so now you'd have...

-4.16+2.3

=-1.86

Thus, your answer, B.

The answer to your question is B. Hope I helpedd

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