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2 years ago

Describe the transformation of f(x) to g(x)

Mathematics

1 answer:

gulaghasi [49]2 years ago

6 0

Answer:

D. f(x) is shifted up 1 unit to g(x).

Step-by-step explanation:

Just let's look at the y-intercept of each function.

f(0) = 0

g(0) = 1

Also remember that a vertical shift of N units is written as:

g(x) = f(x) + N

where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

g(0) = f(0) + N

replacing the values

1 = 0 + N

1 = N

Then N is positive, so we have a shift up of one unit.

The correct option is:

D. f(x) is shifted up 1 unit to g(x).

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A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest

nalin [4]

Answer:

$839.95

Step-by-step explanation:

Sales tax = 7 % × cost

Sales tax = 0.07 × 785

Sales tax = $54.95

=====

Cost = price + sales tax

Cost = 785 + 54.95

Cost = $839.95

The cost to purchase is $839.95.

6 0

2 years ago

Read 2 more answers

Which set of side lengths can be used to form a right triangle

leva [86]

Answer:

14, 48, 50

Step-by-step explanation:

To check which set of side length can be used to form a right triangle we use pythagorean theorem

c^2 = a^2 + b^2

biggest side (hypotenuse is c^2)

(a) 14, 48, 50

$50^2 = 14^2 + 48^2$

2500= 196+2304

2500= 2500 that is true

(b) 30, 40, 60

$60^2 = 30^2 + 40^2$

3600= 900+ 1600

3600= 2500 that is false

$60^2 = 14^2 + 50^2$

3600= 196+2500

2500= 2196 that is false

(d) 10, 24,28

$28^2 = 10^2 + 24^2$

784=100+576

784=676 that is false

4 0

3 years ago

Gasoline costs 1.05 euro per liter in France. What is the price in dollars per gallon?

Alecsey [184]

The price in dollars per gallon is 4.02 dollars per gallons.

<h3>How to find the price of gasoline in dollars per gallon?</h3>

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost = 1.0605 / 0.264172

cost = 4.01552442257 dollars per gallons

cost = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

learn more on price here: brainly.com/question/14501882

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1 year ago

One way to recognize a ___ is to look for a line that divides the original image into two congruent parts.

Sphinxa [80]

A because the line of symmetry is where the two parts of the image will meet

5 0

3 years ago

Read 2 more answers

The half-life of cesium-137 is 30 years. Suppose we have a

VMariaS [17]

(a) If $y(t)$ is the mass (in mg) remaining after $t$ years, then $y(t) = y(0) e^{kt}=100e^{kt}.$

$y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}$

(b) $y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}$

(c)
$100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}$

3 0

3 years ago