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3 years ago

Are 6(p+q) and 6p + q equivalent?

1 answer:

7 0

False

6(p + q) = 6p + 6q ( distribute 6 to both p and q) (distribute to everything in the parenthesis)

6p + q = 6p + q

They are not equivalent

hope this helps

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If the parent function is y = 2x, which is the function of the graph?

natita [175]

Answer is C but if its on grad point your answer is 0.5(2)^x

7 0

3 years ago

Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut

Slav-nsk [51]

Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let l represent the length of the box and let w represent the width of the box, we have;

l = 6 + w

The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

l = 6 + w, h = 2

∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

The length of the box, l = 8 inches

The height of the box, h, is given as h = 2 inches

Part 4

The graph of the function created with MS Excel is attached

4 0

3 years ago

Given complex numbers u and v below,what is uv u=7i V=6-i

boyakko [2]

Answer:

7 + 42i.

Step-by-step explanation:

u v = 7i(6 - i)

= 42i - 7i^2 But i^2 = -1 so:

= 42i - 7(-1)

= 7 + 42i.

6 0

3 years ago

given the graph function below which of the following ordered pairs are found on the inverse function

xenn [34]

Answer:

Option A.

Step-by-step explanation:

Graph of function has been given in the figure.

Coordinates of the points lying on this graph will be

x -2 -1 0 1 2

y -10 -3 -2 -1 6

Therefore, coordinates of the points which will lie on the inverse of this function will be

x -10 -3 -2 -1 6

y -2 -1 0 1 2

Therefore, Option A. will be the answer.

4 0

3 years ago

Please help quickly!

steposvetlana [31]

Answer:

The Correct option is A) 8

The value of a is 8.

Step-by-step explanation:

Vertical Angles:

The angles opposite each other when two lines cross.

They are always equal.

∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.

So on Substituting we get

$2(3a-7)\°=(5a-6)\°$

Applying distributive property we get

$2\times 3a-2\times 7=5a-6\\6a-14=5a-6\\6a-5a=14-6\\\\\therefore a=8$

The value of a is 8

The Correct option is A) 8

7 0

3 years ago