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3 years ago

Solve for x. Enter the solutions from least to greatest. 3x^2-9x-12=0

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

the answer will be..

x=-1

x=4

(x+1) (x-4)

but im sorry i dunno what's lesser and greater means

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If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box

Kruka [31]

Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = $\frac{4}{3}\pi r^{3}$

Where r = radius of the sphere = $\frac{x}{2}$ units

36π = $\frac{4}{3}\pi (\frac{x}{2})^{3}$

36π = $\frac{4x^{3}\pi }{24}$

36×24 = 4x³

x = $\sqrt[3]{\frac{36\times 24}{4} }$

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

= 6×(6)²

= 216

= 216 square units

3 0

3 years ago

Janet can get 36-pack of bottled water for $9.60. How much would Janet have to pay for a 12-pack of bottled water if the ratios

Olenka [21]

Janet would have to pay $3.20.

3 0

3 years ago

Work out 2/21 + 6/7 Give your answer in its simplest form.

olganol [36]

Answer:

2/21+6/7 = 20/21

Step-by-step explanation:

2/21+6/7

=2/21+(6*3/7*3)

=2/21+18/21

=20/21

Hope this helps! Comment any questions <3

4 0

2 years ago

Read 2 more answers

If the graph of Rx) = |x| is shifted up 7 units, which equation represents the new graph? OA. g(x) = (x + 7|| O B. g(x) = |x-71

Tju [1.3M]

Answer:

answer B

Step-by-step explanation:

hope this helps

8 0

3 years ago

A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

$\displaystyle a:b=\frac{1}{3}$

Step-by-step explanation:

Ratios

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

$b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]$

$\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]$

From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

$b=3\sqrt{7}+3\sqrt{c}$

Factoring:

$b=3(\sqrt{7}+\sqrt{c})$

Find the ration a:b:

$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

3 0

3 years ago