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2 years ago

Help? 2+r/6>-1 and also -5-y/6 ≤1

1 answer:

8 0

$2 + \dfrac r6 >-1\\\\\\\implies \dfrac r6 > -1 -2\\\\\\\implies \dfrac r6 > -3\\\\\\\implies r > 6(-3)\\\\\implies r > -18~~~~~; \text{Interval,}~ (-18,\infty)\\\\\\\\-5 - \dfrac y6 \leq 1\\\\\\\implies -\dfrac y6 \leq 1 +5\\\\\\\implies -\dfrac y6 \leq 6\\\\\implies y \geq (-6)6~~~~;[\text{Reverse the inequality when multiplying by a negative number}] \\\\\\\implies y\geq -36~~~~~~;\text{Interval,}~ [-36, \infty)$

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If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in ex

Volgvan

Answer:

The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

Step-by-step explanation:

From the provided statement.

The statement is: If Smith is guilty, then Jones is innocent.

The converse is: If Jones is innocent, then Smith is guilty.

The combination of a conditional statement and its converse is called biconditional statement.

The biconditional statement contains if and only if phrase between two part of the statement.

Which means the statement and converse both are true.

Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

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3 years ago

If an object has a mass of 15 g and a volume of 3 mL what is its density

Annette [7]

Answer:

Given the mass of the object = 15g

Given the volume of the object = 3 mL

Density = ?

Step-by-step explanation:

We have two values of an object that is mass of the object and volume of the object. Now we are required to find the Density of the object. In order to find the density of the object, we have to divide the given mass with the given volume. Below is the calculation of the density.

Density = Mass / Volume

Density = 15g / 3 mL

Density = 5 g/ml

7 0

3 years ago

The length of DE (the minor arc) is 52 cm. What is the circumference of OF?

nordsb [41]

Answer:

D, 312 CM.

Step-by-step explanation:

DE/C = 60/360 = 1/6

Cross-multiplying

C = 6DE = 6 x 52 = 312 CM

8 0

3 years ago

There are 42 kids on the playground. Then 26 more kids come out to join them. How many kids are now on the playground all togeth

aev [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

2 years ago