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3 years ago

Traveling at 65 miles per hour how long will it take me to drive 310 miles

1 answer:

4 0

Travel at the speeds of 65 miles per hour to drive the distance of 310 miles (if the speed in which the person in question is traveling at the same speed) =
310 divided by 65 = $\frac{310}{65}$
= 4 and $\frac{10}{13}$ hours
since it is "traveled distance = speed multiplied by time it takes

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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

13 1/10-7 9/10<br><br> i need help

a_sh-v [17]

Answer:

52/ 10 = 5 2/10 or 5 1/5

Step-by-step explanation:

first turn the mixed fractions into improper fraction

13 1/10= 131/10

7 9/10= 79/10

since the two fractions already have a common denominator just subtract

131 - 79 = 52

52/ 10 = 5 2/10 or 5 1/5

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2 years ago

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The weights of laboratory cockroaches follow a normal distribution with mean 80 grams and standard deviation 2 grams. about what

MatroZZZ [7]

86% if im correct, i got this answer because of the standard deviation, even though, im not 100% sure im correct, do some researching for this answer on top of mine!

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3 years ago

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What is 2/3 + 3/4 I don’t understand it at all

victus00 [196]

Answer:

6/12 or half

Step-by-step explanation:

this would be the answer because the lowest common denominator of 4 and 3 is 12 so you'd multiply them you'd get 12 then multiply 2 and 3 and get six therfore the answer is 6/12 or 1/2

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3 years ago

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Alik [6]

Answer:

Step-by-step explanation:

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2 years ago

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