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3 years ago

When are the absoulte value and the oppposites of a rational number equal

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer:

The opposite of a number is sometimes equal to the opposite of the absolute value of the number. When the number is positive or 0, the statement is true.

Step-by-step explanation:

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The solution to 2x+8>10 is x<1 <br> true or false

Morgarella [4.7K]

Answer:

false

Step-by-step explanation:

correct me if this is wrong, but it's actually x>1

5 0

4 years ago

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Simplify this question

Serhud [2]

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

8 0

2 years ago

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Find the height of the prism if the length is 9 inches, the width is 5 inches, and the volume of the prism is 315 cubic inches.

trasher [3.6K]

Answer:

Height of prism = 7 inches

Step-by-step explanation:

Let h be the height of prism.

Hence,

$h = \frac{vol \: of \: prism}{l \times w} \\ \\ = \frac{315}{9 \times 5} \\ \\ = \frac{315}{45} \\ \\ h= 7 \: inches$

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3 years ago

Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions

Orlov [11]

Rewrite equation so that it is homogeneous .
$ay'' +by' + cy = 0$

Solve characteristic equation:
$ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a}$

The solutions to the homogeneous equation are:
$y = k_1 e^{r_1 t} + k_2 e^{r_2 t}$

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
$y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}$

4 0

3 years ago

Wilton collected $8.50 in dimes and quarters while cleaning his father's truck. If the number of quarters is 3 times the number

dusya [7]

Answer:

Wilton found 10 dimes while cleaning his father's truck.

Step-by-step explanation:

Given that:

Total amount collected = $8.50 = 8.50*100 = 850 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

10x+25y=850 Eqn 1

y = 3x Eqn 2

Putting y=3x in Eqn 1

$10x+25(3x)=850\\10x+75x=850\\85x=850$

Dividing both sides by 85

$\frac{85x}{85}=\frac{850}{85}\\x=10$

As x represents dimes, therefore, number of dimes is 10.

Hence,

Wilton found 10 dimes while cleaning his father's truck.

8 0

3 years ago