I'm really bad at math

The slope intercept form of (-4, 8) and (9, 8)

Black_prince [1.1K]

Step 1: Find the slope

(y-y)/(x-x) = (8-8)/(9+4) = 0

Step 2: Substitute into the slope intercept equation

y - y = m(x - x)

y - 8 = 0(x - 9)

If the problem just wants plain, slope intercept form, then this is your answer.

If not, y = 8

3 0

3 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

Greeley [361]

Answer:

The differential equation will be like the one shown below

Step-by-step explanation:

Data:

Let the equation be given as:

y(4) + 8y' = 6

The equation will be expressed linearly as follows:

y(4) + 8 $\frac{dy}{dx} = 6$

$8\frac{dy}{dx}+ 4y = 6$

This is the linear form of the differential equation.

5 0

2 years ago

Read 2 more answers

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

romanna [79]

Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : $11+13=24$

Total number of ways to structure a jury of six people from a group of 24 people :-

$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

a) Number of ways of selecting a jury of all students :-

$^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{462}{134596}=\dfrac{3}{874}$

b) Number of ways of selecting a jury of all faculty :-

$^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{1716}{134596}=\dfrac{30}{3059}$

c) Number of ways of selecting a jury of two students and four faculty :-

$^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325$

Then , the probability of selecting a jury of all students :-

$\dfrac{39325}{134596}=\dfrac{3575}{12236}$

3 0

2 years ago

Marshall is making fresh tomato juice. The amount of juice he can make depends on how many tomatoes he has.

Schach [20]

Answer:

I believe the answer is the second option, t is the independent variable and a is the dependent variable.

Step-by-step explanation:

This is because the amount of juice Marshall can make depends on the number of tomatoes Marshall has. Therefore, a is a dependent variable and option B is the answer.

3 0

3 years ago

A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop i

Nataliya [291]

Answer:

It is given that a car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds.

This means that in 5 seconds it's speed continuously increases to reach 46 mi/h from 23 mi/h.

It maintains that speed for 5 seconds and then slows to a stop in 5 seconds.

This means that the speed of the car is constant i.e. 46 mi/h i.e. the graph is a straight horizontal line parallel to the time axis.

And then it decreases to reach 0 mi/h.

5 0

2 years ago