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3 years ago

What is the solution to this inequality ? 12x > 5 (x-2)

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

12x>5(x-2)
12x>5x-10
12x-5x>-10
7x>-10
x>-10/7 or (-10/7, +∞)

Answer: x>-10/7 or (-10/7 , +∞)

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What is the base for the expression -6 to the power of 4

natima [27]

For this case we have that by definition it is fulfilled:

$a ^ b$

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to: $(-6) ^ 4$

So we have to:

-6: It is the base

4: It is the exponent

Answer:

-6: It is the base

4: It is the exponent

8 0

2 years ago

The sum of three different numbers is 18. If every number is a prime number, what are the three numbers?

alexdok [17]

The sum of three primes is 18 so they must all be smaller than 18 as well.

Primes less than 18=2,3,5,7,11,13,17

2,3, and 13

2,5, and 11

There are two solutions...

3 0

2 years ago

Read 2 more answers

2(2x-1)-4(3x+1)=2 how to solve this

DiKsa [7]

If you need to find x. The answer is x=1/-2. Hope this helps!

7 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

nobodys probably gonna answer this ): but if you can please do with the answers its for my homework :)

kotegsom [21]

<u>Answer</u>

<h3>12 ) $1000</h3><h3 /><h3>13 ) Y-Intercept = 1000</h3><h3> Slope = $\frac{3000-2000}{4-2}$ = $\frac{1000}{2}$ = $\frac{500}{1}$ </h3><h3 /><h3>14 ) $\left(x^{1\ },\ y^{1}\right)\left(x^{2},\ y^{2}\right)$ → $\left(2\ ,\ 2000\right)\ \left(4\ ,\ 3000\right)$ → $\frac{3000-2000}{4-2}$ → $\frac{500}{1}$ </h3><h3 /><h3>15 ) The meaning of the slope is the steepness of the line, in this graph, the meaning is 500 over 1.</h3><h3 />

<em>Hope this helps! <3</em>

<h2 />

6 0

2 years ago