MATHEMATICS HIGH SCHOOL

Enter the values for a and b that complete

the sum:

3/x + 5/x^{2} =ax+b/x^{2}

Answers

Answer 1
Answer:

ANSWER

a=3, b=5

EXPLANATION

The given equation is

(3)/(x) + \frac{5}{ {x}^(2) } = \frac{ax + b}{ {x}^(2) }

We simplify the left hand side.

We collect LCD to obtain:

\frac{3x + 5}{ {x}^(2) } = \frac{ax + b}{ {x}^(2) }

Both sides of the equation are now the same.

By comparing the coefficients of x, we have

a = 3

By comparing the constant terms

b = 5
Answer 2
Answer:

Answer:

For the first part

A=3

B=5

For the second part

M=3

N=14

P=2

Step-by-step explanation:

Right on edge 2020

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Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the number y"?

Answers

The choices are:

A) 
2x - 15 ≤ 4y 


B) 
2x - 15 ≥ 4y 


C) 
15 - 2x ≤ 4y 


D) 
15 - 2x ≥ 4y

Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help. God bless and have a nice day ahead!

we know that

1) The expression "two times a number x, less 15", represent the equation

2x-15

2) The expression "4 times the number y", represent the equation

4y

3) The expression "is greater than or equal to", represent the symbol

\geq

so

4)The complete expression "two times a number x, less 15, is greater than or equal to 4 times the number y", represent the inequality

2x-15\geq 4y

using a graphing tool

see the attached figure

The solution is the shaded area below the full line

The answer is

2x-15\geq 4y

Let f(x)=√4x and g(x)=x+6, whats the smallest number that is the domain of f^o g?

Answers

f(x) = √(4x)
g(x) = x + 6

(f ο g)(x) = f(g(x))
(f ο g)(x) = √(4(x + 6))
(f ο g)(x) = 2√(x + 6)

The smallest number that is the domain of (f ο g)(x) is -6.

Find (fog)(1) and (gof)(1).
f(x) = 3x - 1; g(x) = x +4​

Answers