Which equation represents a line that passes through (2,-1/2) and has a slope of 3?

Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. 1/5 x 6/7?i

Valentin [98]

The answer is 6/35. Just multiply straight across

5 0

4 years ago

Read 2 more answers

A) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over times, x measured in

Brums [2.3K]

From the given linear function, we have that:

A. The function is constant on the following interval: B.2 ≤ x ≤ 5.

B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.

C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.

D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.

<h3>When a function is constant?</h3>

A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.

2 ≤ x ≤ 5.

10 ≤ x ≤ ∞.

Hence, in item A, option B is correct.

<h3>When a function is increasing?</h3>

A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.

Hence, in item B, option A is correct.

<h3>When a function is decreasing?</h3>

A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.

The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).

Hence:

In item 3, option D is correct.

In item 4, option D is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0

1 year ago

24(9) = 2x i need help with this

Degger [83]

Answer:

24×9 = 2x

216 = 2x

216÷2 = x

108 = x

x=108

4 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

Solve using elimination. -2x + y = 1 -6x - y = -9<br> HELP

laiz [17]

Answer:

(x,y) = (8,7)

Step-by-step explanation:

Solve equation [2] for the variable x

[2] x = y + 15

Plug this in for variable x in equation [1]

[1] (y +15) + y = 1

[1] 2y = -14

Solve equation [1] for the variable y

[1] 2y = - 14

[1] y = - 7 By now we know this much :

x = y+15

y = -7

// Use the y value to solve for x

x = (-7)+15 = 8

Solution :

{x,y} = {8,-7}

5 0

3 years ago