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2 years ago

Which of the following points satisfies the inequality 2x - 3y < 1?

Mathematics

2 answers:

taurus [48]2 years ago

8 0

Answer:-2,1

Step-by-step explanation:

AlexFokin [52]2 years ago

5 0

I'm not sure about the second point you posted, but I believe the answer is (-2, 1). Here is my work:

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A building may fail by excessive settlement of the foundation or by collapse of the superstructure. Over the life of the buildin

patriot [66]

Answer:

0.1536

Step-by-step explanation:

The computation of probability that the building failure will occur over its life is shown below:-

P(building failure) is

$P(ES \cup C)\\\\ = P(ES) + P(C) - P(ES\cap C)\\\\ = P(ES) + P(C) - P(ES) P (C | ES)\\\\ = 0.12 + 0.06 - 0.12 \times 0.22$

now we will solve the above equation

= 0.18 - 0.0264

After solving the above equation we will get

= 0.1536

Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.

3 0

2 years ago

Find The surface area of a cone with a radius of 7 and slant hight of 9

liubo4ka [24]

Answer:14

Step-by-step explanation:

4 0

2 years ago

2x-5y=3 4y-x=-3 solve by elimination

loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 ............................................. equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient of y which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 ............................................. equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0

2 years ago

Mr. jovanovski is having wood flooring put in his rectangular living room. the area of the room is 234 square feet. the length o

OlgaM077 [116]

By definition the area of a rectangle is:
A = l * w
Where,
l: long
w: width
So we have to clear the width:
w = A / l
Substituting the values:
w = (234) / (18) = 13
w = 13 feets
answer
the width, in feet, of the room is 13

5 0

3 years ago

Read 2 more answers

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

2 years ago