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STALIN [3.7K]
2 years ago
10

X + 3y < -18 5x + 2y <14

Mathematics
1 answer:
Kryger [21]2 years ago
4 0

Answer:

<h2>The solution will be the shaded region for both.</h2>

Step-by-step explanation:

First we need to solve x + 3y = -18 and 5x + 2y = 14.

x = -18 - 3y.

Putting the above value in the second equation, we get, 5x + 2y = 14\\5(-18 - 3y) + 2y = 14\\-90 -15y - 2y = 14\\17y = - 104\\y = - \frac{104}{17} = 6.2.

Hence, x = -18 - 3y = -18 -3\times\frac{104}{17} = -36.353

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Sindrei [870]

Surface area is 1256.64

4 0
2 years ago
John bought a bag of lawn fertilizer that will cover 289 square feet. What
erik [133]

Answer:

17 feet

Step-by-step explanation:

A bag of lawn fertilizer covers 289 square feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.

Area of a square lawn = length^2

Area of the square lawn = 289 square feet

Area of a square lawn = length^2

289 = length^2

Find the square root of both sides

√289 = √length^2

17 = length

Length = 17 feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet

8 0
3 years ago
A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters. What number of centimeters on the blue
Tema [17]

Answer:

  54 cm

Step-by-step explanation:

Measures are proportional on a scale drawing:

  drawing measure : actual measure = 6 cm : 3 m = x : 27 m

The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.

54 cm on the blueprint represents an actual distance of 27 meters.

5 0
3 years ago
What does X equal when the square root of six equals three times X
Alekssandra [29.7K]

Answer:

0.81649658092

Step-by-step explanation:

The square root of 6 equals 2.44948974278. Divide that by 3, and you are given 0.81649658092.

8 0
3 years ago
Read 2 more answers
Find a such that the solution of y'' + y' − 2y = 0, y(0) = a, y' (0) = 1 tends to zero as t → +∞.
Kay [80]

Answer:

Step-by-step explanation:

y'' + y' − 2y = 0, y(0) = a, y' (0) = 1

Auxialary equation is

m^2+m-2=0\\m=-2,1

General solution is

y=Ae^{-2x} +Be^x

y(0) = A+B =a

y'(0) = -2Ae^{2x} +Be^x = -2A+B = 1

Eliminate B to get

3A =a-1

We know that y tends to 0 when x tends to infinity for any finite A

i.e. a should be a finite real number.

8 0
3 years ago
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