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Lady bird [3.3K]
3 years ago
12

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

Mathematics
1 answer:
a_sh-v [17]3 years ago
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 <em>l</em> represent the length of the box and let <em>w</em> 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, <em>h</em>, 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<br><br> u=7i<br> 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
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