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katrin2010 [14]
3 years ago
15

What is the horizontal shift for the graph of f(x) = (x - 3)3 + 2? A. Left 2 B. Right 2 C. Left 3 D. Right 3

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0
The graph of the function f(x) = (x - 3)^3 + 2 is 3 units to the right of the parent function.
Hence the horizontal shift is right 3.
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Puppy A weighs 6 kilograms, which is about 30% of its adult weight.
ziro4ka [17]

Answer:

a.

<u>Required equation is</u>

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  • 0.3w = 6

b.

<u>Solve the equation</u>

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3 0
3 years ago
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0
3 years ago
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
IgorLugansk [536]
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Lets Solve

\\  \rm \longmapsto \:  {x}^{2}  - 8x - 7 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 8 {}^{}x = 7 \\  \\  \rm \longmapsto \: 4( {x}^{2}  - 8x) = 4 \times 7 \\  \\  \rm \longmapsto \:  {4x}^{2}  - 32x = 28 \\  \\  \rm \longmapsto \:  {(2x)}^{2}  - 2 \times 2x \times 8 = 28 \\  \\  \rm \longmapsto \: (2x) {}^{2}  - 2 \times 2x \times 8 +  {8}^{2}  = 28 +  {8}^{2}  \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 64 + 28 \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 92 \\  \\  \rm \longmapsto \: 2x - 8 =  \underline{ + }9.3 \\ \\  \rm \longmapsto \:2x =  8 + 9.3  \: or \: 8 - 9.3 \\ \\  \rm \longmapsto \:2x = 17.3 \:or \:  - 1.3 \\ \\  \rm \longmapsto \:2x = 17.3 \\ \\  \rm \longmapsto \:x =  \frac{17.3}{2}  \\ \\  \rm \longmapsto x = \:8.6

  • Ignore negative value
4 0
3 years ago
The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?
Stella [2.4K]

Answer:

x = 5, 2

Step-by-step explanation:

x^2 = 7x - 10

x^2 -7x + 10 = 0

(x - 2)(x - 5) = 0

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7 0
3 years ago
About how long would it take for a person to create 4 tons or 8,000 pounds of garbage?
yuradex [85]

Answer: 10 years I think

Step-by-step explanation:

4 0
3 years ago
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