All categories

2 years ago

If f(x)=-6x+13 and g(x)=6-4(x-1) which is an equivalent form of f(x)+g(x)

Mathematics

1 answer:

Ghella [55]2 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

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

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

2 years ago

Read 2 more answers

Please help me with this SHOW WORK ON PAPER

yawa3891 [41]

Answer:

answers and work are shown below:)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The radius of a sphere is 6 units

lesantik [10]

Answer:

288 pi or 904.22

Step-by-step explanation:

(4/3) × pi × r³

(4/3) × pi × 6³

288pi or

288 × 3.14 = 904.32 units³

7 0

3 years ago

Given f(x)=x^2+5 and g(x)=2x^3-1 find (f/g)(-3)

AlekseyPX

For this case we have the following functions:

$f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1$

By definition of composition of functions we have:

$(f / g) (x) = \frac {f (x)} {g (x)}$

Then substituting:

$f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55$

So:

$(f / g) (- 3) = \frac {14} {- 55} = - 0.25$

Answer:

$(f / g) (- 3) = \frac {14} {- 55} = - 0.25$

7 0

2 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

garik1379 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If f(x)=-6x+13 and g(x)=6-4(x-1) which is an equivalent form of f(x)+g(x)​

If f(x)=-6x+13 and g(x)=6-4(x-1) which is an equivalent form of f(x)+g(x)