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4 years ago

Which comparison symbol makes each inequality statement true?

Mathematics

2 answers:

topjm [15]4 years ago

7 0

Answer:

-6.809 > -6.812 and $|-6.809 | < |-6.812 |$

Step-by-step explanation:

It is clear that 6.809 < 6.812. Hence, -6.812 < -6.809, since the minus sing reverses the order. On the other hand,

$|-6.809 |= 6.809 < 6.812=|-6.812 |$

Digiron [165]4 years ago

5 0

-6.809>-6.812
|-6.809| <|-6.812|

because the absolute values (vertical lines) represent whatever is in them becomes a positive.
-hope that helps

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which of the following regular polygons can make a tessellation: a)septagon b)octagon c)square d)hexagon

adell [148]

Answer:

septagon

Step-by-step explanation:

septagon is the only regular polygon that can make a tessellation

hope it helps .

3 0

3 years ago

Write the equation of the line in slope-intercept form given the graph below.

pishuonlain [190]

Answer:

y=-2/3x-1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help with Algebra 2: 1. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

$\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }$

Note that

$\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}$

When dividing $\sqrt[7]{x^5}$ by $\sqrt[4]{x^2},$ we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

$\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}$

and the result is $x^{\frac{3}{14}}=\sqrt[14]{x^3}$

2. Given equation $3\sqrt[4]{(x-2)^3} -4=20$

Add 4:

$3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24$

Divide by 3:

$\sqrt[4]{(x-2)^3} =8$

Rewrite the equation as:

$(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3$

Hence,

$\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18$

3 0

3 years ago

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the

Komok [63]

Answer:

D) q + d = 330

0.25q + 0.1d = 6

Step-by-step explanation:

Let q= numbers of quarters

d = number of dimes

q + d = 33 ...........(1)

q = 33 - d

xq + yd = 6 ..........(2)

We will consider the options to know the correct answer

From option A

q +d = 6

25q + 10d = 33

This is wrong

Option B

q + d = 60

0.25q + 0.1d = 33

This is also wrong

Option C

q+d = 33

25q + 10d = 6

Put q = 33 -d in equation 2

25(33 - d) + 10q = 6

825 - 25d + 10d = 6

825 - 15d = 6

-15d = 6-825

-15d = -819

d = -819/-15

d= 54.6

This is also wrong because d exceeds the combination.

Option D

q+d = 33

0.25q + 0.1d = 6

Put q = 33 -d in equation 2

0.25(33 - d) + 0.1d = 6

8.25 - 0.25d + 0.1d = 6

8.25 - 0.15d = 6

-0.15d = 6 - 8.25

-0.15d = -2.25

d = -2.25/ -0.15

d = 15

q = 33 - 15

q = 18

This is correct

5 0

3 years ago

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sdas [7]

The answer is 1 2/3 hope this helped

6 0

3 years ago