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3 years ago

Tell whether -2 is a solution of the intequality. 8-2x<12

Mathematics

1 answer:

Llana [10]3 years ago

6 0

Answer:

add 8 to 2 and then multiply the 8 with 12.

Step-by-step explanation:

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If events e and f are independent such that pr⁡(e)=0.3 and pr⁡(f)=0.6. what is "pr"(e⋂f)? show all work.

kati45 [8]

0.3*0.6 = 0.18. By definition of independent.

7 0

3 years ago

A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic

xz_007 [3.2K]

Answer:

$16(3a-2b)(4a^2+3ab+2b)$

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold $216a^3-64b^3=(6a)^3-(4b)^3$ cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that $(6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)$

Therefore, the answer is $\boxed{16(3a-2b)(4a^2+3ab+2b)}$ cubic centimeters and we're done!

6 0

3 years ago

(-4, 12) and (-7, -3)

Alinara [238K]

Answer:

The slope is 5/1 or 5

Step-by-step explanation:

Hope this helps!

8 0

2 years ago

Ella invests 2,000 in an account that pays 4% annual interest rate

svlad2 [7]

Answer:

2,442.80

Step-by-step explanation:

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=461%20%5Cdiv%201.1." id="TexFormula1" title="461 \div 1.1." alt="461 \div 1.1." align="absmidd

Zina [86]

Answer:

$\large\boxed{19\dfrac{17}{20}}$

Step-by-step explanation:

$\text{First step:}\\\\\text{Find LCD}\ (Least\ Common\ Denominator)\\\\LCD=20\\\\4\cdot5=20\\5\cdot4=20\\\\\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\\\\\dfrac{3}{5}=\dfrac{3\cdot4}{5\cdot4}=\dfrac{12}{20}\\\\9\dfrac{1}{4}+10\dfrac{3}{5}=9\dfrac{5}{20}+10\dfrac{12}{20}=(9+10)+\dfrac{5+12}{20}=19\dfrac{17}{20}$

3 0

3 years ago