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2 years ago

Select the correct function that represents this data.

Mathematics

1 answer:

lidiya [134]2 years ago

5 0

Answer:

f(x) = -5x - 2

Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2, f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

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Explain why each of the following integrals is improper. (a) 4 x x − 3 dx 3 Since the integral has an infinite interval of integ

erma4kov [3.2K]

Answer:

Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Since the integral has an infinite interval of integration, it is a Type 1 improper integral

Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering a

$\int\limits^4_3 {\frac{x}{x- 3} } \, dx$

Looking at this we that at x = 3 this integral will be infinitely discontinuous

Considering b

$\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx$

Looking at this integral we see that the interval is between $0 \ and \ \infty$ which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral

Considering c

$\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx$

Looking at this integral we see that the interval is between $-\infty \ and \ \infty$ which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral

Considering d

$\int\limits^{\frac{\pi}{4} }_0 {cot (x)} \, dx$

Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral

7 0

3 years ago

Suppose that 30% of students prefer to write with a mechanical pencil. suppose we sample students, one at a time, and stop as so

tia_tia [17]

Probability that first student prefers mechanical pen = 0.30
P(first student does not and second student does) = 0.70 * 0.3 = 0.21)

P( selecting 2 or fweer) = 0.30+ 0.21) = 0.51 or 51%

6 0

3 years ago

Hannah buys 2 and one half pounds of dried fruit for $1.50. how much is she paying for one pound of dried fruit?

jeka57 [31]

She is paying $0.6 for one pound of dried food. Hope it help!

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3 years ago

please help me with this one and more thru the comments I don't have that many points please do it I'm begging u

zvonat [6]

Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe

3 0

2 years ago

X is less than or equal to -5

erma4kov [3.2K]

Answer:

x<=-5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers