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2 years ago

Which point is a solution to this graphed system of inequalities?

Mathematics

1 answer:

Kitty [74]2 years ago

7 0

Answer:

Step-by-step explanation:

The solution has to be in the shaded area in order to be a solution. Only D. is in the shaded region, so that is your correct answer.

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

5 0

2 years ago

How would I reduce this to lowest terms?

Andrew [12]

Since "a" is on the top and the bottom, you can simplify that

$\frac{a^2b^2}{ac}$

$\frac{ab^2}{c}$

6 0

1 year ago

Deepak randomly chooses two marbles from the bag,

Alika [10]

Green 5/15
red 2/15
that should be your answer

3 0

2 years ago

Read 2 more answers

14. There are 11 boys and 10 girls in a classroom. A teacher chooses a student at random and puts that student

lutik1710 [3]

Answer:

here

Step-by-step explanation:

https://www.rcboe.org/cms/lib/GA01903614/Centricity/Domain/1351/21.2%20permutations%20and%20probability.pdf

8 0

1 year ago

Read 2 more answers

Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = 9, 6 , b = −4, 6 orthogonal parallel neither (

labwork [276]

Answer:

(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal

Step-by-step explanation:

a and b are parallel is a=kb

a and b if a dot b = 0

(a) a dot b = (9)(-4)+6(6)=-36+36=0

a and b are orthogonal

(b) a dot b = 40-7-21=12

a=kb -> there is no k value satisfying the equation

a and b are neither parallel or orthogonal

a=kb -> k=-3/4 satisfies the equation

a and b are parallel

(d) a dot b= 9-3-6=0

a and b are orthogonal

5 0

2 years ago