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2 years ago

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

Mathematics

1 answer:

tigry1 [53]2 years ago

3 0

Answer:

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)

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Which of the following points lies in the solution set of the inequality y > 3x +10?

shepuryov [24]

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn more on inequality here: brainly.com/question/24372553

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3 years ago

Find the surface area of the pyramid

jolli1 [7]

The surface area is ≈ 451.92

5 0

3 years ago

How to convert base two to base three

sladkih [1.3K]

Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.

The binary expansion of x is

x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

x = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of x,

x = 1 011 202₃

6 0

3 years ago

You buy 22 T-shirts in a sale. You pay the full price of $12$12 for the first T-shirt, and you get the second T-shirt for half t

Mice21 [21]

3/4 I do believe
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6 0

3 years ago

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

k = 180$
Substituting the value of k we have that the inverse variation is:
$y = 180 / x
$
For y2 = 3 we have:
$3 = 180 / x2
$
Clearing x2 we have:
$x2 = 180/3$
$x2 = 60$
Answer:
$x2 = 60$

3 0

4 years ago