3 years ago

Determine the domain of the function:

Mathematics

1 answer:

PtichkaEL [24]3 years ago

6 0

Answer:

Domain: Range of x values

Notice how the function never touches 0
Hence all values for x not including 0

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Rewrite the function by completing the square.

bixtya [17]

Answer:

$g(x) = 4(x - 2)^2 -9$

Step-by-step explanation:

Given

$g(x) = 4x^2 - 16x + 7$

Required

Complete the square

Rewrite so that $x^2$ has 1 coefficient

$g(x) = 4(x^2 - 4x) + 7$

Take half of the coefficient of x

$\frac{4}{2} = 2$

Square the result

$(\frac{4}{2})^2 = 2^2$

$(\frac{4}{2})^2 = 4$

Add and subtract the result in the bracket

$g(x) = 4(x^2 - 4x + 4 - 4) + 7$

Expand the bracket to remove -4

$g(x) = 4(x^2 - 4x + 4) - 16 + 7$

$g(x) = 4(x^2 - 4x + 4) -9$

Expand the bracket

$g(x) = 4(x^2 - 2x -2x+ 4) -9$

Factorize

$g(x) = 4(x(x - 2) -2(x-2)) -9$

Factor out x - 2

$g(x) = 4((x - 2)(x-2)) -9$

Express as square

$g(x) = 4(x - 2)^2 -9$

3 0

3 years ago

Can you pls help me hurry

Sav [38]

It’s 188.4

All you have to do is plug in 30cm into the formula for circumference :)

8 0

3 years ago

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Oops, this is the shape for the previous question. Find the area

Mariana [72]

52 + 112
= 164 cm squared

3 0

3 years ago

What is y=4/5x-7 in point slope form

san4es73 [151]

Answer:

y - 7 = m (x- 0)

Step-by-step explanation:

Slope intercept form is y = mx + b. B is the y intercept, which gives us a point: (0, 7) that we can use in point slope form. M is the slope, 4/5. Now we have all the pieces for point slope form:

y - y1 = m (x - x1)

Now plug in the info!

y - 7 = m (x- 0)

3 0

3 years ago

Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes `ABCD` to `A'B'

morpeh [17]

A. Reflected across the y-axis and translated one unit down

B. Rotated 90 degrees clockwise

6 0

2 years ago