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icang [17]
2 years ago
14

Which model represents the factors of 4x^2-9

Mathematics
1 answer:
dsp732 years ago
8 0

The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).

<h3>What are the quadratic equations in one variable completing the squares method?</h3>

The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.

The quadratic equation can resemble this:

x²-a² = (x+a)(x-a)

Given equation;

⇒4x²-9

⇒(2x)²-3²

The equation can be modeled as;

(2x+3)(2x-3)

Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).

To learn more about completing the squares method refer to:

brainly.com/question/16800259

#SPJ1

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1.For this problem, 200 meters of fencing will all be used to place fence on all four sides of the rectangle. Your task is to wr
solong [7]

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

∴

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)

7 0
3 years ago
What is the range of f(x)= -3^x+4
V125BC [204]

Answer:

A. The set of all real numbers less than 4

Step-by-step explanation:

The range of the parent function y=3^x is y\in (0,\infty)

The graph of the function y=-3^x is reflected across the x-axis graph of the parent function, so the range of the function y=-3^x is (-\infty,0)

The graph of the function y=-3^x+4 is translated 4 units up graph of the function y=-3^x, so the range of the function y=-3^x+4 is (-\infty,4) or the set of all real numbers less than 4.

7 0
4 years ago
41 9/11 minus 27 1/3
sertanlavr [38]


41 and 9/11 - 27 1/3 is equal to 14and 6/33

Hope it helps!

Think about what I gave you!:D

7 0
4 years ago
Read 2 more answers
Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is represented
laiz [17]

9514 1404 393

Answer:

  (a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Step-by-step explanation:

If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.

The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.

The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.

The appropriate description of the two lines is ...

  The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

8 0
3 years ago
How do you solve 2m-10=44+8m
Damm [24]

Answer:

m = -9

Step-by-step explanation:

2m-10=44+8m

Subtract 2m from each side

2m-2m-10=44+8m-2m

-10 = 44+6m

Subtract 44 from each side

-10-44 = 44-44+6m

-54 = 6m

Divide by 6

-54/6 = 6m/6

-9 = m

6 0
3 years ago
Read 2 more answers
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