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3 years ago

Grumpy is… well… grumpy. He wants to play but there is no one to play with! Can you help him work this equation out?

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

8 0

Answer:

A. 22

Step-by-step explanation:

Let's use variables to represent the unknowns.

Let x = blue bowl

Let y = orange symbol

Let z = yellow brush

x * x * x = 512

x^3 = 512

x = sqrt^3(512) = 8

xy^2 = 72

8 * y^2 = 72

y^2 = 9

y = 3

yz = 33

z = 11

x + y + z = 8 + 3 + 11 = 22

Umnica [9.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

8x8x8=512

8x3x3=72

3x11=33

Therefore...

8+3+11=22

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

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Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

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