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3 years ago

Solve the absolute value equation,if possible. If there is no solution, explain. I 5x + 10 I = -7

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

No solution.

Step-by-step explanation:

The range of the abs. val. function is [0, infinity). In other words, the output of this function is never negative. Thus, the equation you have posted has no solution.

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The sum of a number and its additive inverse is equal to?

Usimov [2.4K]

For example, the additive inverse of 12 is –12. The additive inverse of –3 is 3. Formally, the additive inverse of x is –x. Note: The sum of a number and its additive inverse is 0.

8 0

3 years ago

Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,

ANTONII [103]

Assuming the particle's position is given by

$\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}$

then the distance traveled over the interval is

$\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt$
$=\displaystyle2\int_0^4\mathrm dt$
$=2(4-0)=8$

5 0

3 years ago

HELP ME PLEASE PLEASE

olga_2 [115]

i really thinks its 6.9*10 to the power of 2

4 0

2 years ago

Frank cut a pie into 10 equal slices there are three slices left what is the measure of the angle formed by the 3 slices left

viva [34]

The three remaining slices would form 108 degrees.
Hope this helped (and that I was right) =P

6 0

2 years ago

Express the following as a single discount rate.

yuradex [85]

Answer:

37%

46.8%

65.8%

59.68%

41.8%

52.5%

Step-by-step explanation:

Discount Rates

It's a way to express that a quantity will be reduced to some other by a fixed percentage. For example, taking 40% off a $50 price means:

* Operating 40*50/100=$20 This is the discount

* Subtracting from the original price: $50 - $20 = $30. This is the reduced quantity.

The trick is doing all of that procedure more efficiently to solve the question. At the end of the procedure we did this

50 - 40*50/100 = 50*(1 - 40/100) = 50*(1-0.4)= 50 * 0.6 = $30

This means we get the same result by only multipying by a factor which is one minus the discount percentage divided by 100.

Let's start with the first homework

Discount 25% and 16%. The first discount is made by multiplying by 0.75 and the second my multiplying by 0.84. This means that the total discounted value is

0.75*0.84 = 0.63. That is a single discount of 1-0.63 = 37%

Discount 30%, 20%, and 5%. The product is

0.70 * 0.80 * 0.95 = 0.532, a single discount of 1-0.532 = 46.8%

Discount 60%, 10%, and 5%

0.40 * 0.90 * 0.95 = 0.342, a single discount of 65.8%

Discount 40%, 20%, 12 1/2%, and 4%. Let's recall that 12 1/2% = 12.5%. The product is

0.60 * 0.80 * 0.875 * 0.96 = 0.4032. A single discount or 1-0.4032 = 59.68%

Discount 25%, 20%, and 3%

0.75 * 0.80 * 0.97 = 0.582. Single discount of 41.8%

Discount 331/3%, 25%, and 5%

0.66 * 0.75 * 0.95 = 0.475, single discount of 52.5%

6 0

3 years ago