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goldenfox [79]
3 years ago
10

A quadratic function is given.

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

2x² + 4x + 3 = 0

Step-by-step explanation:

The function is said to be quadratic if it has highest degree = 2.

Further, The standard form of Quadratic Equation is:

ax² + bx + c = 0

where, a ≠ 0

a, b and c are constants

and x is unknown variable.

Thus, The Standard form of given Quadratic Equation is 2x² + 4x + 3 = 0

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Which fraction and decimal forms math the long division problem
Tanya [424]

Answer:

4/15 and 0.26

Step-by-step explanation:

Here, we want to write the fraction and decimal that matches the division problem

The division problem is simply 4/15 in fraction

In decimal, this is 0.2667

5 0
3 years ago
Helppppppppppppppppp​
Darina [25.2K]

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

7 0
3 years ago
The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. According to the graph, what is
dimaraw [331]

Answer:

(2, 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

point of intersection = (2, 3 ) ← is the solution

8 0
3 years ago
6x + 2x - 1 = 5x + 11
sammy [17]
6x + 2x - 1 = 5x + 11
        8x - 1 = 5x + 11
      - 5x       - 5x
        3x - 1 = 11
            + 1   + 1
             3x = 12
              3      3
               x = 4
4 0
3 years ago
The lovin lemon company sells a 4 gallon jug of lemonade for $24 the sweet and sour company sells an 8 pack of 1 quart bottles o
Angelina_Jolie [31]
The 8 pack of 1 quart bottles of lemonade is the higher price unit because 4 gallons equal 16 quarts. 16 divided by 2= 8 and 24 divided by 2 =12 dollars. so therefore 8 quarts of "lovin lemon" company is $12 and 8 quarts of "sweet and sour" company is $16 so THE ANSWER IS: "SWEET AND SOUR" COMPANY HAS THE HIGHER UNIT RATE.
5 0
3 years ago
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