All categories

3 years ago

If c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)

Mathematics

1 answer:

Ber [7]3 years ago

5 0

Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get $\frac{5(x+3)}{x-2}\\$ = $\frac{5x+15}{x-2}\\$ .

The domain of $\frac{5x+15}{x-2}$ is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

You might be interested in

The figure below shows rectangle ABCD.

kipiarov [429]

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

$\angle ADB \cong \angle CBD$ ( By alternative angle theorem)

$AD\cong BC$ ( Because ABCD is a rectangle)

$\angle CAD\cong \angle ACB$ ( By alternative angle theorem)

By ASA postulate, $\triangle AED\cong \triangle BEC$

By CPCTC, $BE\cong ED$ and $CE\cong EA$

⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.

4 0

3 years ago

Read 2 more answers

The two-way table below shows an intendant careers among an incoming class of first-year college students, divided by gender. If

vovangra [49]

Step-by-step explanation:

If one student is chosen from a pool of 2444 maie students, of which 102 are aspiring research scientists, the probability that the chosen student student is a future research scientist is

102/2444 = 4.17% (to the nearest hundredth percent)

8 0

3 years ago

Can someone plsss help me

balu736 [363]

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

6 0

2 years ago

Shjdksjcksmcjcsnuckamc

irina1246 [14]

Answer:

you should make the picture more clear, i cant see the answer choices

8 0

3 years ago

Read 2 more answers

A U.S. dime has a thickness of 1 7/20 millimeters. Gary has a stack of dimes 78 3/10 millimeters tall. How many dimes does he ha

Dahasolnce [82]

Answer:

58 number of dimes.

A. $5.8

B. 131.602 grams.

Step-by-step explanation:

A U.S. dime has a thickness of $1\frac{7}{20} = 1.35$ mm.

Now, Gary has a stack of dimes that is $78\frac{3}{10} = 78.3$ mm in height.

Therefore, Gary has $\frac{78.3}{1.35} = 58$ dimes in total.

A. Now, each dime is equivalent to $0.1.

Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.

B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)

8 0

3 years ago