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4 years ago

Which are correct represents of the inequality 6x>3+4(2x-1)

Mathematics

1 answer:

Natasha_Volkova [10]4 years ago

7 0

Answer:

Step-by-step explanation:

In order to check the different representations, we first simplify the inequality: 6x ≥ 3 + 4(2x - 1) 6x ≥ 3 + 8x - 4 1 ≥ 2x 1/2 ≥ x Looking at the simplification process, we see that the first and second options are correct representations. Moreover, if we plot the simplified inequality on a number line, then we see that the third representation is also correct. Therefore, the first, second and third representations of the inequality are correct

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What relationship between the quantities shown in the table

maxonik [38]

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3 years ago

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Georgia [21]

Answer: $\dfrac{1}{2\sqrt x}$

<u>Step-by-step explanation:</u>

$\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}$

f(x) = $\sqrt x\\$

f(x+h) = $\sqrt{x+h}$

$\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}$

$=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)$

$=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{1}{\sqrt{x+h}+\sqrt x}$

$=\dfrac{1}{\sqrt{x+0}+\sqrt x}$

$=\dfrac{1}{2\sqrt x}$

4 0

4 years ago

Not sure need help

WITCHER [35]

Answer:

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5 0

3 years ago

A survey of 300 people found that 30 of them likes hip-hop music. What percent of the people in the survey likes hip-hop music?

SCORPION-xisa [38]

Answer:

10%

Step-by-step explanation:

30/300 people like hip-hop

So, 1/10 or 10% like hip-hop

7 0

3 years ago

Read 2 more answers

Briana drew a rectangle with a width 5 inches shorter than its length. She measured the perimeter of the rectangle and found it

Zigmanuir [339]

P = 2(L + W)
P = 14
W = L - 5

14 = 2(L + L - 5)
14 = 2(2L - 5)
14 = 4L - 10
14 + 10 = 4L
24 = 4L
24/4 = L
6 = L.......the length is 6 inches

W = L - 5
W = 6 - 5
W = 1 <=== the width is 1 inch

7 0

3 years ago