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3 years ago

Solve the inequality:2y-2<14

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

2y - 2 < 14
2y < 14 + 2
2y < 16
y < 16/2
y < 8

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Graph a line with a slope of -3/4 that contains the point (2,3).

Agata [3.3K]

Answer:

y = -3/4x + 4.5

Step-by-step explanation:

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3 years ago

3.) If y vanes inversely as x, and y = 9 when x = 4, find y when x =12

natali 33 [55]

Answer:

y= 36

Step-by-step explanation:

if y varies directly as x, and y=9 when x=4, find y when x=16

When you see "direct variation" think:

y = kx

To find k, use "y=9 when x=4":

y = kx

9 = k(4)

9/4 = k

so, our equation is:

y = (9/4)x

now, we can answer:

find y when x=16

y = (9/4)x

y = (9/4)(16)

y = (9)(4)

y = 36

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3 years ago

What Is the square root of 9

Genrish500 [490]

the square root of 9 would be 3. as 3 x 3 =9

the square root of any number is asking what number times itself will give you the given number you are trying to square root. for example, the square root of 36 would be 6, as 6 x 6 = 36. I hope this helped

6 0

3 years ago

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A box with a square base and closed top is required to have a volume of 27,000 cm3

julia-pushkina [17]

Answer:

h=30cm

Base sides, x=30cm

Step-by-step explanation:

Let x be the dimension of the sides and h the dimension of height;

$V=x^2h$

#Material used is directly proportional to surface area. Minimizing surface area will minimize the amount of material used.

$Area=2x^2+4xh$

Find area as a function of x:

$V=x^2h=27000\\\\h=\frac{27000}{x^2}\\\\Area=2x^2+4x(\frac{27000}{x^2})\\\\=2x^2+\frac{108000}{x}$

To minimize Area, we find the first derivative of Area:

$A=2x^2+\frac{108000}{x}\\\\A\prime=4x+\frac{108000}{x^2}=0\\\\\frac{4x^3-108000}{x^2}=0\\\\4x^3=108000\\\\x=30$

#find the second derivative to verify the minimum:

$A\prime=4x+\frac{108000}{x^2}\\A\prime\prime=4x+\frac{108000}{x^3}=124, x=30$

Substitute x in the volume equation to find h:

$h=\frac{27000}{x^2}\\\\=\frac{27000}{30^2}\\\\h=30$

Hence, the dimensions of the box that minimize the amount of material used h=30cm and x=30cm

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4 years ago

Find the value of x.<br> 27<br> x<br> +

ra1l [238]

Can you elaborate more?

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3 years ago

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