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polet [3.4K]
2 years ago
9

(2x³)⁴= ? What is the right answer, with full explanation please:

Mathematics
2 answers:
netineya [11]2 years ago
7 0
So you multiply the 4th power

2 times 4 is 8
4 times 3 is 12
Then you plug it In 8x^12

So your answer is D

Hope this helps *smiles*
Lostsunrise [7]2 years ago
6 0

Answer:

B. = 16 {x}^{12}

Step-by-step explanation:

(2 {x}^{3}  {)}^{4}

➡️ {2}^{4}  \times ( {x}^{3}  {)}^{4}

➡️ 2 \times  2 \times 2 \times 2 = 16

➡️ 16 \times ( {x}^{3}  {)}^{4}

➡️ ( {x}^{3}  {)}^{4}

➡️ {x}^{3 \times 4}  =  {x}^{12}

➡️ B. = 16 {x}^{12} ✅

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If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

(x, y)\rightarrow(x-4,y+3)

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

6 0
2 years ago
Work out the area of this circle. give your answer in terms of π and state its units.
Setler [38]

Answer:

 

Step-by-step explanation:

8 0
3 years ago
Help plzz i need help with this question and 9 more in an hourr
REY [17]

Answer:

y=-\cos x

Step-by-step explanation:

The given trigonometric graph is symmetric about the y-axis.

This means it is a cosine function.

The basic is symmetric about the y-axis and has a y-intercept of 1.

Its range is -1\le y\le1

Since the given graph  has y-intercept at -1 with the same range, it is the parent cosine function reflected in the x-axis.

Therefore its equation is y=-\cos x

5 0
2 years ago
A. Rewrite the function y = x2 – 14x + 58 in vertex form by completing the square. Show your work. B. Rewrite the function y = –
marysya [2.9K]

Answer:

A. y = (x -7)² +9

B. y = -(x +3)² -11

C. minimum, (7, 9)

D. maximum, (-3, -11)

Step-by-step explanation:

The general steps to rewriting the function in vertex form are ...

1. factor out the leading coefficient (if not 1) from the first two terms

2. add inside parentheses the square of half the x coefficient; subtract the same amount outside parentheses. The factor in front of the parentheses must be taken into account when adding the same amount outside.

3. rewrite the content of parentheses as a square, collect terms outside parentheses.

___

A. y = x² -14x +58

y = (x² -14x) +58 . . . . . . . . . . step 1

y = (x² -14x +49) +58 -49 . . . step 2

y = (x -7)² +9 . . . . . . . . . . . . . step 3

__

B. y = -x² -6x -20

y = -(x² +6x) -20

y = -(x² +6x +9) -20 -(-9)

y = -(x +3)² -11

__

C. In vertex form, the function for vertical scale factor "a" and vertex (h, k) looks like ...

y = a(x -h)² +k

When a < 0, the vertex is a maximum (the graph opens downward); when a > 0, the vertex is a minimum (the graph opens upward).

The function of part A has a minimum at the vertex (7, 9). 9 is the minimum value.

___

D. The function of part B has a maximum at the vertex (-3, -11). -11 is the maximum value.

8 0
2 years ago
Lanika needs a sheet of card that is at least 3/10 mm thick.
Fantom [35]
Each sheet is 14/45 mm, that works out to be 0.31mm, so yes it's thick enough.
4 0
3 years ago
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