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bearhunter [10]
2 years ago
6

If f(x) = (3+x)/ (x-3),what is f(a+ 2)?

Mathematics
1 answer:
balandron [24]2 years ago
4 0
To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
You might be interested in
Show the zero property of multiplication using the number 25
9966 [12]
Anything divided by 0 is 0 for example 25x0=0 12020202020x0=0
6 0
3 years ago
น. <br><img src="https://tex.z-dn.net/?f=x%20%3D%201%20-%20%20%5Csqrt%7B2%7D%20find%20%20%5C%3A%28x%20-%20%20%5Cfrac%7B1%7D%7Bx%
Nastasia [14]

Answer:

Step-by-step explanation:

\frac{1}{x}=\frac{1}{1-\sqrt{2}}\\\\=\frac{1*(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1^{2}-(\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1-2}\\\\=\frac{1+\sqrt{2}}{-1}\\\\= -[1+\sqrt{2}]\\\\x-\frac{1}{x}=1-\sqrt{2}-(-[1+\sqrt{2}])\\\\=1-\sqrt{2}+1+\sqrt{2}\\\\=2

8 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of centered at the origin.
kvv77 [185]

A picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.

<h3 /><h3>What exactly is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The complete question is;

"Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .

Use the polygon tool to graph the dilated figure."

The center of dilation and figure are first translated, making the origin the center of dilation.

We map every point because the point (2, 2), which is our center of dilatation, must be translated left 2 and down 2 to become the origin.

(x, y)→(x-2, y-2)

Each point will be multiplied by two when the scale factor is two, giving us the rule.

(x, y)→(2x-4, 2y-4)

In order to return the figure to its original location, we must translate it right 2 and up 2; this gives us the rule.

(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)

At the top of the original figure, the first point is (0, 6). When we use the transformation, we get

(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)

The pre-rightmost image's point is (2, 4). The results of using the transformation rule are;

(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)

The pre-leftmost image's point is at (-3, 3). The transformation rule being applied, w

(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)

Hence,an picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.

To learn more about dilation, refer to

brainly.com/question/13176891.

#SPJ1

7 0
2 years ago
Sid says 26 is a multiple of 3. Is Sid correct? Why or why no?
Romashka-Z-Leto [24]

Answer:

The answer to your question is: Incorrect

Step-by-step explanation:

Sid is wrong because 26 is not a multiple of 3.

A number is multiple of three if the sum of its digits is multiple of three.

Example:

               24 =    2 + 4 = 6    6 is a multiple of 3

               27 =    2 + 7 = 9    9 is multiple of 3

but           26 =   2 + 6 = 8    8 is not a multiple of 3

8 0
3 years ago
Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24
Fynjy0 [20]

Answer:

Amount spent by Victoria = $30.

Cost of 1 flan = $22.50

Step-by-step explanation:

A.

Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.

We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.

We can represent this information as:

\frac{4}{9}x=24

Let us solve for x.

x=24*\frac{9}{4}

x=6*9=54

Let us find 5/9 of 54 to figure out the amount spent by Victoria.

\text{Amount spent by Victoria}=\frac{5}{9}*54

\text{Amount spent by Victoria}=5*6=30

Therefore, Victoria spent an amount of $30.

B.

Let C be cost of one chicken pie and F be cost of one flan.

We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:

C=\frac{1}{6}F...(1)

We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.

We can represent this information as:

2C+F=30...(2)

Upon substituting C's value in equation (2) we will get,

2*(\frac{1}{6}F)+F=30

(\frac{1}{3})F+F=30

Now let us have a common denominator.

(\frac{1}{3})F+\frac{3F}{3}=30

(\frac{1+3}{3})F=30

(\frac{4}{3})F=30

F=30*\frac{3}{4}

F=30*0.75

F=22.50

Therefore, the cost of one flan is $22.50.  

4 0
3 years ago
Read 2 more answers
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