How does the graph of f(x) = 3(x - 2)^2 + 1 compare to the graphof g(x) = x^2?
(1) The graph of f(x) is wider than the graph of g(x), and its vertex
is moved to the left 2 units and up 1 unit.
(2) The graph of f(x) is narrower than the graph of g(x), and its vertex
is moved to the right 2 units and up 1 unit.
(3) The graph of f(x) is narrower than the graph of g(x), and its vertex
is moved to the left 2 units and up 1 unit.
(4) The graph of f(x) is wider than the graph of g(x), and its vertex is
moved to the right 2 units and up 1 unit.

Answers

Answer 1

Answer: Hello,

Answer B

Just see the graphs. y=x² is passing by (0,0)

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In baseball batting averages are expressed as decimal numbers if the player has had 8 hits out of 20 a bats what is his batting average and what percentage of the time does the player get a hit
(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12.
Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.
Evan's vegetable patch is 7 yards wide and 26 yards long. Evan wants to build a fence around thevegetable patch. The fencing material costs $0.62 per yard. How much would it cost in total to build thefence?

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates. One city has a tax rate of 7% and the other has a tax rate of 8.5%.What percent can you save by going with the lower tax rate?

Answers

We are given two stores to select and this stores are located in the same distance but of different cities of different tax rates. One city has a tax rate of 7% and the other city has a 8.5%. in order to save, you need to choose a lower tax rate which is 7%. This saves you 1.5% as compared 8.5% of other city

Answer:

The percentage saved is 1.5% .

Step-by-step explanation:

As given

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates.

One city has a tax rate of 7% and the other has a tax rate of 8.5%.

7% is written in the decimal form .

$= (7)/(100)$

= 0.07

Tax price at 7% tax rate = 0.07 × Cost of the computer

= 0.07 × 12000

= $ 840

8.5% is written in the decimal form .

$= (8.5)/(100)$

= 0.085

Tax price with 8.5% tax rate = 0.085 × Cost of the computer

= 0.085 × 12000

= 1020

Change in the tax rate = Tax price with 8.5% tax rate - Tax price at 7% tax rate.

= 1020 - 840

= $180

$Pecentage\ saved = (Change\ in\ the\ tax\ rate* 100)/(Cost\ of\ the\ computers)$

$Pecentage\ saved = (180* 100)/(12000)$

$Pecentage\ saved = (18000)/(12000)$

Percentage saved = 1.5%

Therefore the percentage saved is 1.5% .

Which of the following is equivalent to the expression below for x≠6?2x²-18x+36/x-6

2(x+3)
2x-3
2x+3
2(x-3)

Answers

Answer:

The fourth answer choice is the correct one: 2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

True or false? The most common system of measurement for medication is the metric system.

Answers

Answer:

true

Step-by-step explanation:

The metric system is used for most scientific and medical measurements and all pharmaceutical companies now use the metric system for labeling medications.

Final answer:

The most common system of measurement for medication is indeed the metric system, which is utilized globally for its precision and universality. Its units cater to fundamental attributes in medicine dosages, such as volume, length and weight.

Explanation:

True, the most common system of measurement for medication is the metric system. This system is utilized globally and, in the healthcare field, it's critical for measuring and administering medications due to its precision and universality. The metric system's units of meters, liters, and grams cater to volume, length and weight - all fundamental attributes in medication dosages. If we take an example, a physician may prescribe 500 milligrams (mg) of a particular drug, where the milligram is a common metric unit used to denote mass.

Learn more about metric system

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A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the trip took 3 hours?

Answers

Answer:

Fisherman traveled 14.4 miles.

Step-by-step explanation:

A fisherman's downstream speed = 6 mph

and upstream speed = 4 mph

Let the fisherman traveled x miles he travels upstream.

Time spent in travelling x miles = $(x)/(4)$ hours [Since time = $\frac{\text{distance}}{\text{speed}}$ ]

Similarly when fisherman covers x miles down stream

Time spent in x miles = $(x)/(6)$ hours

Now total time in going upstream and downstream is 3 hours then

$(x)/(4)+(x)/(6)=3$

x $((3+2)/(12))=3$

$((5x)/(12))=3$

5x = 12×3

5x = 36

x = $(36)/(5)=7.2$ miles.

Since fisherman has traveled 2x distance so the answer will be 14.4 miles

Therefore, fisherman traveled 14.4 miles.

total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours
D = 3*12/5 = 36/5 or 7.2 miles
where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

Next term in sequence 61, 122, 244, 488

Answers

next term is 976 because the sequence is 976=2x488=2x2x244=2x2x2x122=2x2x2x2x61

Answer:

u would add 488+488 so it = 976

Step-by-step explanation:

There is a discrete relationship between the number of workers and the number of bricks layed on a wall. Use this information to answer problems 9-11. What is the domain for the function that models the relationship between workers and bricks laid on the wall?

Answers

Answer: The domain of a function represents all the possible input values or independent variables that can be used in the function. In this case, the function models the relationship between the number of workers and the number of bricks laid on the wall.

To determine the domain, we need to consider what values the number of workers can take on in this relationship. Since the number of workers is discrete, it means that only whole numbers can be used to represent the number of workers. For example, you cannot have 2.5 workers.

Therefore, the domain of the function would be a set of whole numbers. We can represent this using interval notation as {0, 1, 2, 3, ...}, where the ellipsis (...) indicates that the pattern continues indefinitely.

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