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3 years ago

Which value is a discontinuity of x^2+7x+1/x^2+2x-15? x=-1 x=-2 x=-5 x=-4

1 answer:

dsp733 years ago

6 0

$\dfrac{x^2+7x+1}{x^2+2x-15}=\dfrac{x^2+7x+1}{(x+5)(x-3)}$

which is undefined when $x=-5$ or $x=3$ . The answer is then the third choice.

You might be interested in

The vertex of an isosceles triangle measures 15 degrees more than one of its base angles how many degrees are there in a base an

Alexxandr [17]

V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70

Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks.

5 0

3 years ago

There are two bowls. One of them has 60 gems and the other has 40 gems. Some of them are red. All the gems from the two bowls ar

uranmaximum [27]

Answer:

60/40

the awnser for the question is 3/2

5 0

3 years ago

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

M is the sample mean weight of the wild mountain lions ( $\frac{69 +104 +125 +129+60 +64}{6} =91.8$ )

ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)

s is the standard deviation of the sample(31.4)

N is the sample size (6)

Thus, ME= $\frac{1.30*31.4}{\sqrt{6} }$ ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0

3 years ago

A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys

Dahasolnce [82]

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78 equation 1

y + x = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

3 0

2 years ago

To change a recipe that serves 8 to make it serve 5, by what fraction would you multiply each ingredient?

NARA [144]

Let, that fraction = x
So, 8 * x = 5
x = 5/8

In short, Your Answer would be 5/8

Hope this helps!

8 0

3 years ago