MATHEMATICS HIGH SCHOOL

If x = 2/9 and y = 3/7 work out the value of x + y

Answers

Answer 1

Answer:

Answer:

$(41)/(63)$

Step-by-step explanation:

=> x+y

Putting x = $(2)/(9)$ ; y = $(3)/(7)$

=> $(2)/(9) +(3)/(7)$

LCM = 63

This will make the expression

=> $(14+27)/(63)$

=> $(41)/(63)$

This is the required factorized form

Answer 2

Answer:

Answer:

$\boxed{\sf (41)/(63)}$

Step-by-step explanation:

hi, it means that we have to compute

$(2)/(9)+(3)/(7)=(7*2+3*9)/(7*9)=(14+27)/(7*9)=(41)/(63)$

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Solve by factoring by grouping 5k^2-2k-7=9

What is the inverse one to one function of f(x) = square root of x-2???

Answers

$f(x) = √(x - 2) \ny = √(x - 2) \ny^(2) = (√(x - 2))^(2) \ny^(2) = x - 2 \nx^(2) = y - 2 \nx^(2) + 2 = y \nx^(2) + 2 = f^(-1)(x)$

Combine the like terms to create an equivalent expression:
\large{-2k-(-5)+1}−2k−(−5)+1

Answers

Answer:

The answer is

$- 2x + 5 + 1 - 2x + 5 + 1 = \n - 4x + 12 = \n - 4(x - 3)$

Which function has the greatest y-intercept?

Answers

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

$f(x)=4x+5$

Substitute x=0 in the given function, to find the y-intercept.

$f(0)=4(0)+5=5$

The y-intercept of f(x) is 5.

From the given graph it is clear that the y-intercept of g(x) is 2.

The third function is

$h(x)=3\sin (2x+\pi)-2$

Substitute x=0 in the given function, to find the y-intercept.

$h(x)=3\sin (2(0)+\pi)-2$

$h(x)=3\sin (\pi)-2$

$h(x)=3(0)-2$

$h(x)=-2$

The y-intercept of h(x) is -2.

$5>2>-2$

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

Final answer:

The greatest y-intercept in a function refers to the function that intersects the y-axis at the highest point. We can determine this by checking the 'b' term in the equation y = mx + b.

Explanation:

To determine which function has the greatest y-intercept, you would need to examine the 'b' term in the equation y = mx + b, which represents the y-intercept. This is the point where the function intersects the y-axis. In other words, it's the y-value where the function begins. For example, within the information provided, 'ŷ-266.8863 + 0.1656x' seems to have the largest y-intercept at 266.8863.

Now consider having graphs of multiple functions; the one that intersects the y-axis at the highest point (the largest y-value) has the greatest y-intercept.

For straight lines, their slope remains the same along the line (as demonstrated in the mention of 'Figure A1 Slope and the Algebra of Straight Lines'). It's the y-intercept that determines where on the y-axis the line begins, helping us distinguish one line from another if their slopes are identical.