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3 years ago

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The relationship between two variables such that y = kx if k is a nonzero number. Also, as one quantity increases, the second qu

antity increases or as one quantity decreases, the second quantity decreases.

1 answer:

kirill115 [55]3 years ago

6 0

Answer: Direct variation ( your welcome )

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A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

3 years ago

Determine whether this system of equations has one solution, no solution, or infinitely many solutions.

prohojiy [21]

Answer:

The only solution I see is for x=0

Step-by-step explanation:

y=8x+2

y=-8x+2

y=y so substitute:

8X+2=-8X+2

Subtract 2 from each side

8X=-8X

divide each side by 8

x=-x

The only solution I see is for x=0

4 0

3 years ago

How many different committees can be formed from 10 teachers and 41 students if the committee consists of 2 teachers and 2 stud

Ksivusya [100]

If we define "n choose r" as C(n,r)=n!/(r!(n-r)!)
where C(n,r) represents the number of ways (order not important) we can choose r objects out of n, then

Number of ways to choose teachers = 10 choose 2 = C(10,2), and
number of ways to choose students = 41 choose 2 = C(41,2)

So the number of different committees
= C(10,2)*C(41,2)
= 45*820
= 36900

3 0

4 years ago

Read 2 more answers

Help anyone? dying

Oduvanchick [21]

Answer: $\bold{f^{-1}(x)=\dfrac{2x-1}{2+x}}$

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and then manipulate the equation to solve for y.

$y=\dfrac{2x+1}{2-x}\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{2y+1}{2-y}\\\\\\\text{Multiply both sides by 2-y}:\\x(2-y)=2y+1\\\\\\\text{distribute x into 2-y}:\\2x-xy=2y+1\\\\\\\text{subtract 1 from both sides and add xy to both sides}:\\2x-1=2y+xy\\\\\\\text{factor out y from the right side}:\\2x-1=y(2+x)\\\\\\\text{divide 2+x from both sides}:\\\dfrac{2x-1}{2+x}=y\\\\\\\text{Therefore, the inverse }f^{-1}(x)=\dfrac{2x-1}{2+x}$

8 0

3 years ago

A spinner has 10 = sections six of which are gray and four of which are blue the spinner is spun twice what is the probability t

svlad2 [7]

Answer:

2/10

Step-by-step explanation:

4 0

3 years ago