3 years ago

Prove that 2n + 1 ≤ 2n for n ≥ 3

1 answer:

3 0

In order for something to be proven, there can be no counterexamples to prove it false.

$4 \geq 3 \\ n=4 \\ 2(4)+1 \leq 2(4) \\ 8+1 \leq 8 \\ 9 \leq 8$

9 is not greater than or equal to 8, therefore this statement is false.

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Solve each inequality. Then compare the solutions.<br><br> 3x +4> 16<br> - 2x + 19< 11

Makovka662 [10]

Answer:

$3x + 4 > 16 \\ 3x > 16 - 4 \\ \frac{3x}{3} > \frac{12}{3} \\ x > 4 \\ \\ - 2x + 19 < 11 \\ - 2x < 11 - 19 \\ - 2x < - 8 \\ \frac{ - 2x}{ - 2} > \frac{ - 8}{ - 2} \\ x > 4 \\ \\ comparing \\ 4 < x > 4$

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3 years ago

One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sarah walk on the longer path

MArishka [77]

Answer:

First find the circumference by pi r squared.

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3 years ago

Which statement is true about the difference 2 square root of 7 − square root of 26?

lora16 [44]

2√7 - √26 ≈ 5.29150262213... - 5.09901951359...

... ≈ 0.19248310854...

The result is an irrational number not described by any of your answer selections.

None of the statements is true.

7 0

3 years ago

4x + 2(x + 8) = -19+ x

Likurg_2 [28]

4x + 2(x + 8) = -19 + x

4x + 2x + 16 = -19 + x

6x + 16 = -19 + x

6x + 35 = x

-5x = 35

x = -7

6 0

3 years ago

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Find the gradient of the line<br> 2y - 8x = -2

natima [27]

answer:

gradient is 4

Step-by-step explanation:

gradient is another way of saying slope

slope in the math is often used to show the speed of something

it's the m in y= mx+b

make the equation look like

y = mx + b

2y - 8x = -2

2y = 8x - 2

y= (8x-2)/2

y=4x-1

gradient is the number next to x

answer : gradient is 4

8 0

2 years ago

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