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Vlada [557]
3 years ago
9

If g (x) = 2x + 2, find g (a + h) - g (a)

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

g(x) = 2x+2

Let's find g(a+h):

g(a+h)=2*(a+h) +2= 2a +2h +2

And now let's find g(a)

g(a)= 2a+2

And now finally:

g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h

Step-by-step explanation:

We have the following function given:

g(x) = 2x+2

Let's find g(a+h):

g(a+h)=2*(a+h) +2= 2a +2h +2

And now let's find g(a)

g(a)= 2a+2

And now finally:

g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
kondaur [170]

Th matrix is missing. The matrix is :

\begin{bmatrix}1 &-4  &4 \\ -4 &16  & 4 \end{bmatrix}

Solution :

The column of the matrix are \begin{bmatrix}1\\ -4\end{bmatrix} , \begin{bmatrix}-4\\ 16\end{bmatrix}, \begin{bmatrix}4\\ 4\end{bmatrix}

Now each of them are vectors in $IR^2$. But  $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the \text{linearly independent set} as the set contains \text{more vectors} than there are entries in each vector.

Therefore, option (D) is correct.

4 0
3 years ago
Given: <br> ΔABC, m∠C = 90º, m∠B = 30º<br> CM - angle bisector<br><br> Find: m∠AMC
SashulF [63]

Answer:

75°

Step-by-step explanation:

1. Consider right triangle ABC. In this triangle

m∠C = 90º and CM - angle bisector.

If CM is angle C bisector, then

m∠ACM = m∠MCB = 45º

2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then

m∠MCB + m∠CBM + m∠BMC = 180°,

m∠BMC = 180° - 45° - 30°

m∠BMC = 105°

3. Angles AMC and BMC are supplementary angles, so

m∠AMC + m∠BMC = 180°

m∠AMC = 180° - 105°

m∠AMC = 75°

3 0
3 years ago
Find the area of the shape shown below.
bija089 [108]

Answer:

i think its 4,800

Step-by-step explanation:

multiply all the sides

5 0
3 years ago
Read 2 more answers
7/2x+1/2x = 18+ 9/2x
chubhunter [2.5K]

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

4x=18+\frac{9}{2} x

-9/2x       -9/2x

-\frac{1}{2} x=18   because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

(\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)

which then cancels out -1/2 and makes it

x=-36

4 0
4 years ago
What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?​
morpeh [17]

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

6 0
3 years ago
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