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3 years ago

A line goes through{2,-3)and (-1, 0).

1 answer:

3 0

(2,-3)(-1,0)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (0 - (-3) / (-1 - 2) = 3/-3 = -1

y = mx + b
slope(m) = -1
use either of ur points (2,-3)...x = 2 and y = -3
now we sub and find b, the y int
-3 = -1(2) + b
-3 = -2 + b
-3 + 2 = b
- 1 = b

so ur equation is : y = - x - 1 (slope intercept form)

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Which of the following functions could be f(x) ?

notka56 [123]

Answer:

B. f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.

Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.

[A] - x^4

When x is +∞ --> - (∞)^4 --> f(x) is -∞

When x is -∞ --> - (-∞)^4 --> f(x) is -∞

[B] - x^3

When x is +∞ --> - (∞)^3 --> f(x) is -∞

When x is -∞ --> - (-∞)^3 --> f(x) is ∞

[C] 2x^5

When x is +∞ --> 2(∞)^5 --> f(x) is ∞

When x is -∞ --> 2(-∞)^5 --> f(x) is -∞

[D] x^4

When x is +∞ --> (∞)^4 --> f(x) is ∞

When x is -∞ --> (-∞)^4 --> f(x) is ∞

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

8 0

4 years ago

image Find the area of the kite with diagonals a = 12 and b = 9. Question 5 options: A) 108 B) 72 C) 54 D) 30

FromTheMoon [43]

Answer:

108

Step-by-step explanation:

Because the area formula is a*b and 12*9 is 180

So the answer is 180 which is A

I hope this helps :)

3 0

3 years ago

Can anyone help me Plz:

Andrei [34K]

Answer to the problem is 18x^4

3 0

3 years ago

Read 2 more answers

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on

FinnZ [79.3K]

The question is incomplete! Complete question along with answers and step by step explanation is provided below.

Question:

(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)

nq > 10

np > 5

p > 0.5

np > 10

p < 0.5

nq > 5

(b) What is the probability of "12" or fewer successes for a binomial experiment with 20 trials. The probability of success on a single trial is 0.50. Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Answer:

(a) The correct options are np > 5 and nq > 5

(b) P(x ≤ 12) = 0.8133

Step-by-step explanation:

Please refer to the attached images for explanation, I am unable to type in text editor due to some technical error!

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3 years ago

What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m

Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

$V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776$

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

$\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg$

Thus, the mass of the solid ball of iron is 60.6528 kg

8 0

3 years ago