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3 years ago

Compare the expressions by entering <, >, or = into the box. 8+7-2^2{ }3^2 +2

Mathematics

1 answer:

pickupchik [31]3 years ago

5 0

You would use the = sign because
8+7-2^2=3^2+2
they both equal 11

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Solve the inequality 2x>30+5/4x

insens350 [35]

Answer:

Step-by-step explanation:

$2x > 30+\frac{5}{4x} \\2x-\frac{5}{4x} > 30\\\frac{8x^2-5}{4x} > 30\\case~1\\if~x > 0\\8x^2-5 > 120x\\8x^2-120x > 5\\x^2-15x > \frac{5}{8} \\adding~(-\frac{15}{2} )^2~to~both~sides\\(x-\frac{15}{2} )^2 > \frac{5}{8}+\frac{225}{4} \\(x-\frac{15}{2} )^2 > \frac{455}{8} \\x-\frac{15}{2} < -\sqrt{\frac{455}{8} } \\x < \frac{15}{2}-\sqrt{\frac{455}{8} } \\or~x < 0\\rejected~as~x > 0$

$x-\frac{15}{2} > \sqrt{\frac{455}{8} } \\x > \frac{15}{2} +\sqrt{\frac{455}{8} }$

case~2

$if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0$

8 0

1 year ago

NEED HELP ASAP!!!!!!!!!!!<br><br> 2. Solve for x<br> 3. Solve for x

Anton [14]

Answer:

2. x = 47

3. x = 2

Step-by-step explanation:

These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.

2. 28(7) = 4(x + 2)

Distribute = 196 = 4x + 8

Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x

Solve for x: x = 47

3. 2(2x + 7) = 11(3x - 4)

Distribute: 4x + 14 = 33x - 44

Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x

Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x

Solve for x: x = 2

4 0

3 years ago

a 28 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi

klasskru [66]

Where x is the length of the first piece
$x + 2x + 6x + 1 = 28 \\ \\ 9x = 27 \\ \\ x = 3$
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches

3 0

3 years ago

Compare and contrast the difference between "simplify a fraction" and "simplify a radical."

Ne4ueva [31]

Simplifying a fraction means most likely having it remain as a fraction and not a whole number and it can be converted as a decimal.

on the other hand, simplifying a radical, you would have no remainders, fractions, or decimals after simplifying.

thats the difference.
im not sure about similarities

8 0

3 years ago

Anacondas are snakes found in South America anacondas can measure over 16 1/2 feet in length how many inches are in 16 1/2

OLga [1]

Answer:

198 inches

Step-by-step explanation:

There are 12 inches in each foot

multiply 16 by 12 you get 192

Half of a foot is 6 inches

add 6 inches and you get 198

5 0

2 years ago

Read 2 more answers