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2 years ago

Help!!! Find the domain of the function. Write the answer in interval notation.

Mathematics

1 answer:

beks73 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Given

f(x) = $\frac{2}{3x+2}$

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - $\frac{2}{3}$ ← excluded value

Then

domain is ( - ∞ , - $\frac{2}{3}$ ) U ( - $\frac{2}{3}$ , ∞ ) → A

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Line I and h intersect at what point

marishachu [46]

Answer:

please show where the lines are graphed in a picture

Step-by-step explanation:

5 0

3 years ago

A total of 1 232 students have taken a course in Spanish, 879 have taken a course in French, and 114 have taken a course in Russ

ElenaW [278]

Answer:

$n(S\cap F \cap R)=7$

Step-by-step explanation:

The Universal Set, n(U)=2092

$n(S)=1232\\n(F)=879\\n(R)=114$

$n(S\cap R)=23\\n(S\cap F)=103\\n(F\cap R)=14$

Let the number who take all three subjects, $n(S\cap F \cap R)=x$

Note that in the Venn Diagram, we have subtracted $n(S\cap F \cap R)=x$ from each of the intersection of two sets.

The next step is to determine the number of students who study only each of the courses.

$n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x$

These values are substituted in the second Venn diagram

Adding up all the values

2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]

2092=2085+x

x=2092-2085

x=7

The number of students who have taken courses in all three subjects, $n(S\cap F \cap R)=7$

3 0

3 years ago

Geometry help please. See photo.

mart [117]

Sorry I am not that good with geometry l

3 0

3 years ago

Arada [10]

Answer:

12inches

Step-by-step explanation:

i think

5 0

3 years ago

Solve for s. 2/3s+5/6s=2/1 all the numbers are fractions

Brut [27]

Answer:

s = $\frac{4}{3}$

4 0

3 years ago