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3 years ago

Horatio, Glen, Carlos, and Meredith played in the company golf tournament. Their scores after the first round are listed below.

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

Ima ask my brother to help u with this is that ok

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

Find the perimeter

Inga [223]

Answer:

Step-by-step explanation:

Perimeter= 4S

Perimeter= 4(5)

Perimeter= 20

Perimeter 2= 2(L+W)

Perimeter 2= 2(11+7)

Perimeter 2= 22+14

Perimeter 2= 36

Total Perimeter= P1+P2

Total Perimeter= 20+36

Total Perimeter= 56

6 0

3 years ago

if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d

Cerrena [4.2K]

Answer:

Step-by-step explanation:

no of days no of men

30 20

24 20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore 5 more men are needed to complete the work in 24 days

8 0

3 years ago

Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake

Serhud [2]

Note that it is proportional. The graph is given to you, in which the line includes all the points that can be answers. Find the point that is also given as a choice, and it is your answer.

Finn needs 6 cups of sugar for 4 cakes. is your answer

Note that it is in (x,y) format, and that y = cups of sugar, and x = cakes

hope this helps

3 0

3 years ago

Read 2 more answers

Carson and Jayden kept track of how many miles they ran during one week. Carson ran a total of 43 miles, which was 12 miles more

kozerog [31]

Answer:

Step-by-step explanation:

So the answer is 31 because

Carson ran 43

Jayden ran 12 miles less

so subtract 43-12=31

7 0

3 years ago

Read 2 more answers