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3 years ago

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

1 answer:

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:

Required equation is

6 kg is 30% of w
0.3w = 6

Solve the equation

w = 6/0.3
w = 20 kg

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>Answer:-</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

x = 5, 2

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