Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)

7 0

4 years ago

What is the equation of this line

photoshop1234 [79]

Answer:

$y = -\frac{4}{3}x + 4$

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

$y = mx + b$ , where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}$

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

$y = mx + b$

$y = -\frac{4}{3}x + 4$

8 0

3 years ago

Find the complete factored form of the polynomial -24a6b4-40a3

Naddik [55]

For this case we have the following polynomial:

$-24a ^ 6b ^ 4-40a ^ 3$

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

$24 = 3 * 8\\40 = 5 * 8$

Then we look for the GFC of the variables:

We have then:

$a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3$

Finally rewriting we have: $-24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)$

Answer:

the complete factored form of the polynomial is:

$-8a ^ 3 (3a ^ 3b ^ 4 + 5)$

8 0

3 years ago

Cole has a rectangular garden with an area of 16.02 square meters. What is the width, in meters, of the garden?

exis [7]

Answer:

3.56m

Step-by-step explanation:Parameters given:

Area of the rectangular garden = 16.02m^2

Length of the rectangular garden = 4.5m

The Area of a rectangle can be calculated for using the formula below

Area (square meters) = length (meters) × width (meters)

Therefore, 16.02m^2 = 4.5m × width

Width = 16.02m^2 / 4.5m

Width = 3.56m

Therefore the width in meters of the garden is 3.56m

See the attachment below for an illustrative diagram

A = area

l = length

w = width

8 0

3 years ago

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