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Softa [21]
3 years ago
12

Inequalities Exam

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

t > 8

Step-by-step explanation:

Given that :

Initial volume = 16 litres

Addition rate = 4 litres per minute

Target volume > 48 litres

Let number of minute for which water is added to achieve these = t

Mathematically,

Initial volume + (addition rate * t) > target volume

16 + 4t > 48

Collect like terms

4t > 48 - 16

4t > 32

Divide both sides by 4

4t/4 > 32/4

t > 8

Laura will need add water at 4 Litre per minute rate for more than 8 minutes

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Question 2: What is the y-coordinate of the solution for the system of equations? *
rodikova [14]

Answer:

{ 0, -4}

Step-by-step explanation:

2x - 5•(-x -4) = 20

7x = 0

x = 0

y = -x-4

y = -(-0 , -4)

8 0
3 years ago
Given f(x)=arctan(2x), find f’(x) in simplest form
Lostsunrise [7]

Answer:

Step-by-step explanation:

f(x)=tan^{-1} 2x\\let f(x)=y\\y=tan^{-1}2x\\tan y=2x\\diff. w.r.t.x\\sec^2y(\frac{dy}{dx} )=2\\\frac{dy}{dx} =\frac{2}{sec^2 y} =\frac{2}{1+tan^2y} =\frac{2}{1+(2x)^2} \\f'(x)=\frac{2}{1+4x^2}

7 0
3 years ago
Based off of the graph with points (-4,2)( -3,0)(-2,-1)(0,2)(2,-3)(3,3)
saw5 [17]
Yes that is the relation of the function. When x=2 y = -3
4 0
3 years ago
What is the distance between the points (4, 3) and (1, -1) on the coordinate
Delvig [45]

The distance between the points (4, 3) and (1, -1) on the coordinate plane will be 5 units. Then the correct option is C.

<h3>What is the distance between two points?</h3>

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are given below.

(4, 3) and (1, -1)

Then the distance between the points will be

D² = (4 - 1)² + (3 + 1)²

D² = 3² + 4²

D² = 9 + 16

D² = 25

D = 5 units

Then the correct option is C.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ1

7 0
2 years ago
Last year, Edward spent a total of $626.14 on his power bill. Rounding the total bill to the nearest tens place, approximate how
zlopas [31]

Answer:

He spent around  $ 52.17  in each month.

Step-by-step explanation:

Last year the power bill price = $ 626.14 ≈  $ 626

We know that in a year 12 months. so power bill of each month in last year is calculated as follows

Power \ bill \ of \ each \ month = \frac{Total \ bill \ of  \ the \ year}{12}

Power \ bill \ of \ each \ month = \frac{626}{12}

Power \ bill \ of \ each \ month =  $ 52.17

Therefore he spent around  $ 52.17  in each month.

7 0
4 years ago
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