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snow_tiger [21]
4 years ago
5

What is the answer to this problem 3x+6(x-4)

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
8 0

Explanation:

Distributive property: → a(b+c)=ab+ac

Expand equation.

6(x-4)

Then, multiply 6*4.

6*4=24

=3x+6x-24

Add by similar elements.

6+3=9

Don't forget to used variable with letter/symbol.

\boxed{9x-24}

Hope this helps!

Thank you!

Have a great day!

-Charlie

charle [14.2K]4 years ago
3 0

Hey there!

Answer = 9x - 24

Let's simplify step-by-step.

3x + 6(x - 4)

Distribute:

= 3x + (6)(x) + (6)(-4)

= 3x + 6x + -24

Combine Like terms:

= 3x + 6x + -24

= (3x + 6x + (-24)

= 9x + -24

= 9x - 24

So therefore, that is how you found your answer: 9x - 24

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The wages
mihalych1998 [28]

Answer:

£ 144

Step-by-step explanation:

the formula would be :

w = n * r

finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:

w = n *r

w = 7.20 * 20

<u>w =£ 144</u>

<u />

8 0
3 years ago
find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2
Alexxandr [17]

The surface is parameterized by

\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k

and the normal to the surface is given by the cross product of the partial derivatives of \vec s :

\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}

It looks like you're given

\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}

Then the normal vector is

\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k

Now, the point (2, 2, 0) corresponds to u and v such that

\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}

and solving gives u = v = 1, so the normal vector at the point we care about is

\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k

Then the equation of the tangent plane is

\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath +  (z-0)\,\vec k\right) = 0

-4(x-2) + 2(y-2) - 4z = 0

\boxed{2x - y + 2z = 2}

6 0
2 years ago
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the
andrey2020 [161]

Answer:

21/50

Step-by-step explanation:

Total Number of salespeople in company = 400

Of these salespeople, number of people recieved bonus last year = 83

Number of salesperson attended special sales training = 100

And, Number of salesperson attended both special sales training and received a bonus = 42

Then proportion of salesperson who attended special sales training program and received bonus = Number of salesperson attended both special sales program and received a bonus / total number of salesperson attended special sales training

                                   =  42/100

                                  = 21/50

8 0
3 years ago
Read 2 more answers
Suppose that we roll a fair die until a 6 comes up.
shtirl [24]
The probability is 1/36
36
8 0
4 years ago
Prove that T is one to one if and only if T carries linearly independent subsets of V onto linearly independent subsets of W.
balu736 [363]

Answer with Step-by-step explanation:

Suppose T is one-one

Let S be a linearly independent subset of V

We want to show that T(S) is linearly independent.

Suppose T(S) is linearly dependent.

Then there exist v_1,v_2,...v_n\in S and some not all zero scalars a_1,a_2,....a_n such that

a_1T(v_1)+a_2T(v_2)+a_3T(v_3)+...+a_nT(v_n)=0

T is linear therefore,

T(a_1v_1+a_2v_2+..+a_nv_n)=0

T is one-one therefore

N(T)=0

a_v_1+....+a_nv_n=0

S is linearly independent therefore,

a_1=a_2=...a_n=0

It is contradiction.Hence, T(S) is linearly independent.

Conversely, Suppose that T carries linearly independent subset of V onto linearly independent subsets of W.

Assume that T(x)=0 if the set x is linearly independent

Then, by assumption we conclude that  {0} is  linearly independent but {0} is linearly dependent.

It is contradiction .Hence, the set {x} is linearly dependent which implies that x=0

It means N(T)={0}.Therefore, T is one- one

4 0
3 years ago
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