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2 years ago

Describe the change in the graph of the parabola f(x) when it transforms into g(x) =

Mathematics

1 answer:

saw5 [17]2 years ago

8 0

Answer:

(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

We assume you intend ...

f(x) = equation of a parabola

g(x) = 2/3·f(x)

Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.

The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.

The attachment shows parabolas that open upward and downward, along with the transformed version.

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Todd wants to buy a new video game for $43.31. He has $55.50. The sales tax is 8.5% of the total purchase. Does Todd have enough

sammy [17]

Answer:

yes

Step-by-step explanation:

We can estimate* that the total price including tax of the game will be less than ...

$43.31 +10% of 43.31 = $43.31 +4.33 = $47.61

Todd easily has enough to pay for the game, including tax.

_____

You can work this more exactly a couple of ways.

1. Price + tax = 1.085×$43.31 = $46.99 . . . less than Todd's budget

2. Most Todd can afford: $55.50/1.085 = $51.15 . . . more than the game price

_____

* For estimating purposes, we like to use numbers that are easy to compute with. 10% is one such number, as it only requires moving the decimal point.

7 0

3 years ago

Hey go to attachments and help me out- thanks very much! this is my last question for today so it would really help also stay sa

Llana [10]

Answer:

A) 250 / 8 = 31.25

31.25 x 8 = 250 Know you know that one pancake requires 31.25ml of Milk

31.25 x 4 = 125

So 4 pancakes requires 125ml of Milk

B) 5 / 8 = 0.625

0.625 x 8 = 5 So just like last time, you know that 0.625g of butter is required to make 8 pancakes

0.625 x 12 = 7.5g of Butter

So 12 pancakes requires 7.5g of butter.

Hope this makes sense !

7 0

3 years ago

4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005

Semenov [28]

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

8 0

2 years ago

Can someone plz help me ?

Inessa05 [86]

The O represents opposite

6 0

2 years ago

Sales tax is a function of the price of an item. The amount of sales tax is 0.08 times the price of the item. Use h to represent

Margaret [11]

Option C:

h(x) = 0.08x

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

= 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

5 0

2 years ago