Y=2x^2-2x+7 in vertex form

Answers

Answer 1
Answer: Hello,

y=2x²-2x+7
==>y=2(x²-2*1/2x+1/4)=7-1/2
==>y=2(x-1/2)²+13/2

Vertex=(1/2,13/2)

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Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

Solve for y:
6.3-0.9y
y=

Answers

6.3 = 0.9y

First, divide both of the sides by '0.9'
7 = y
Second, switch your sides.
y = 7

Answer: y = 7

A cell phone company orders 600 new phones from a manufacturer. If the probability of a phone being defective is 3.5%, predict how many of the phones are likely to be defective. Round to the nearest whole number.

Answers

I would take 600 subtract 3.5% and get 579 then take 600-579= 21 so 21 phones will be defective.

The bakery bought four bags of flour containing 3.5 kg each 475 g of flour are needed to make a batch of muffins and 0.65 kg is needed to make a loaf of bread if 4 batches of muffins and five loaves of bread are baked how much flour will be left give your answer in kilograms

Answers

First we have to find total mass of flour.
4*3.5kg=14kg
Now we are calculating how much flour we used for muffins
475g=0.475kg
0.475kg*4muffins=1.9kg
and now how much flour we used for bread
0.65kg*5bread=3.25kg
Finally we can subtract 1.9 and 3.25 from 14kg
14kg-1.9kg-3.25=8.85kg - its the answer

The left out amount of floor is \boxed{\bf8.85\,\,{\text{kilogram}}}.

Further explanation:

The weight of one bag of flour is 3.5 kg.

The bakery bought 4 bags of flour.

Therefore, the total weight of 4 bags is calculated as follows:

4*\left({3.5\,\,{\text{kg}}}\right)=14\,\,{\text{kg}}

The weight of flour needed for a batch of muffins is 0.475 kg.

Therefore, the weight of flour needed for 4 batches of muffins is calculated as follows:

4*\left({0.475\,\,{\text{kg}}} \right)=1.9\,\,{\text{kg}}

The weight of flour needed for a loaf of bread is 0.65 kg.

Therefore, the weight of flour needed for 5 loaves of bread is calculated as follows:

5*\left( {0.65\,\,{\text{kg}}} \right)=3.25\,\,{\text{kg}}

So, the total weight of floor used in the process of making muffins and loaves of bread is calculated as follows:

3.25\,\,{\text{kg+}}1.9\,\,{\text{kg}}=5.15\,\,{\text{kg}}

Now, the weight of floor that is left out in the bag is calculated as follows:

14\,\,{\text{kg}}-5.15\,\,{\text{kg}}=8.85\,\,{\text{kg}}

Thus, the left out amount of floor is \boxed{\bf8.85\,\,{\text{kilogram}}}.

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Basic Algebra

Keywords:  Bakery, bags, flour, 3.5 kg, muffins, bread, loaf, loaves, kilograms, kg, share, subtract, equally, 8.85 kg, weight, bought

how many triangles are formed by the diagonal from one vertex in quadrilateral, hexagon, octagon, and decagon??!

Answers

Quadrilateral: two (you can only trace one diagonal and it forms two triangles)

Hexagon: four (you can trace thre diagonals and four triangles are formed)

Octagon: six (you can trace five diagonals and six triangles are formed)

Degagon: eight (you can trace seven diagonals and eight triangles are formed)

It is always true that the number of triangles you can form from a vertex in a convex polygon is the number of sides minus 2.

The English measurement system is primarily used by what country? A. Italy
B. England
C. United States
D. Ireland

Answers

Well unfortunately "english" isn't a measurement system, however there are two measurement systems - we call them "imperial" and "metric". This question is most likely reffering to the imperial system, as that is the system used to some extent in England and in its entirety in the United States. All other countries in the world ise the metric system. The imperial system uses miles, feet, inches, degrees farhenheit, pounds and stone, while the metric system uses kilometres, metres, kilograms and degrees celcius. It has absolutely nothing to do with the language that the country speaks, as countries B, C and D all speak English, along with many other countries. The answer to your question would be C, as the United States is the only country that uses the imperial system to its full extent :))

The English measurement system is primarily used by United States.

Hence the correct option is C. United States.

The English measurement system, also known as the Imperial system, is primarily used by the United States (option C) and to a lesser extent by some other countries that have historical ties to the British Empire.

While England (option B) does use the Imperial system, it is most commonly associated with the United States.

Italy (option A) primarily uses the metric system, and Ireland (option D) officially adopted the metric system in the late 19th century, although some remnants of the Imperial system are still in use in everyday life.

Hence the correct option is C. United States.

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