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ipn [44]
4 years ago
13

HELP PLEASE

Mathematics
1 answer:
kati45 [8]4 years ago
6 0

Answer:

x > -6

Step-by-step explanation:

Here in this question, we have to solve for x from the given inequality

-6 > -30- 4x.  

We can solve the inequality equation by using the properties of inequality.

We have, -6 > -30 -4x

⇒ -6+30 > -4x

{The summation and subtraction rules of the inequality equation is similar to that of ordinary equations}

⇒24 > -4x

Dividing both sides by -1, we get,

⇒-24 < 4x

{In case of division of both the sides of an inequality by a negative number, the inequality sign changes from > to < and vice-versa}

⇒4x > -24

Dividing both the sides by 4, we get  

⇒ x > -6 {There is same rule as equality equation for division both sides by a positive number} (Answer)

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igor_vitrenko [27]
Alright here we go
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7 0
3 years ago
How does the Binomial Theorem’s use Pascal’s triangle to expand binomials raised to positive integer powers?
MrMuchimi

Answer:

There are  ways for quickly multiply out a binomial that's being raised by an exponent. Like

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3

and so on and so on

but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this

1                           1      

2                   1     2     1

3                1     3     3   1

4           1     4     6     4     1

5       1     5     10     10     5     1

Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.

Hope this helps!

5 0
3 years ago
Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

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Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

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f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
4 years ago
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Alexandra [31]

Answer:

<h3>180</h3>

Step-by-step explanation:

<h3>45 × -6 = 45 × [10+(-6)]</h3><h3>45 × (10-6)</h3><h3>45 × 4</h3><h3>180</h3>
5 0
3 years ago
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