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3 years ago

Which values are solutions to the inequality below? √x > 25?

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

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assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

B: 6 Point: (-4, 2) Solve for y=mx+b Please help

mixas84 [53]

Answer:

y=-4x+2

Step-by-step explanation:

B is the y-intercept and M is the sope, or x, knowing this now we slove:

(-4, 2)

m b

y=mx+b

y=-4x+2

Have a beautiful day! v(⌒o⌒)v♪

For more help take a look at the picture below.

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3 years ago

Every female rabbit has 5 baby rabbits. What is the constant of proportionality for the ratio of baby rabbits to female rabbits?

Brrunno [24]

Five bunnies to one female rabbit is 5:1 :)

3 0

3 years ago

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An elevator can hold 16 people and 50 people are

Inessa05 [86]

Answer: It would be 4 trips with two people in the last trip up

Step-by-step explanation:

16+16+16=48

48+2=5

7 0

3 years ago

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Write an addition expression to describe the situation. Then find the sum and explain its meaning.

Fed [463]

Answer:

5-15= -20 20+12 = 8 yards

Step-by-step explanation:

Expression: 5-15+12=8

Sum: 8 yards

Its 8 yards because they lose a total of 20 yards then gains 12 yards so you just have to subtract 20 and 8 = 12 yards

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