Consider 4x +12 < 28. which value of x makes the given inquality TRUE? A) 3 B) 6 C) 7 D) 10

Mathematics

2 answers:

Pepsi [2]3 years ago

7 0

Answer:

Step-by-step explanation:

4(3)+12=24, which is less than 28, so the inequality would be true

algol133 years ago

5 0

Answer:

The answer is A)3

Step-by-step explanation:

4 multiplied by 3 is 12, 12+12 is 24, less than 28

2 multiplied by 6 is 24+12 is 36, greater than 28

4 multiplied by 7 is 28, already over 28

4 multiplied by 10 is 40 is already way over 28

Hope this helped!!!

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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:

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Now, to determine the minimum cost:

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