The discriminant of a quadratic equation is 40. What is the nature of the solutions?

Write all the names that apply to each number .

sasho [114]

Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.

Answers:
a. 7/8
Real, Rational.

b. √36
Real, Rational because its value is +6 or -6.

c. √24
Real, Irrational.

d. 0.75
Real, rational because 0.75 = 3/4.

e. 0
Real, rational

f. √(-100)
Complex, because √(-1) * √100 = +/- i√100

g. $5.\overline{45}$
Irrational, Repeating decimal because
$5.\overline{45} = 5.4545454545 ...$

h -18/6
Real, Integer, Rational because -18/6 = -3.

5 0

3 years ago

Last year, Manuel deposited $7000 into an account that paid 11% interest per year and $1000 into an account that paid 5% interes

Westkost [7]

Answer:

The total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.

Step-by-step explanation:

Given that last year, Manuel deposited $ 7000 into an account that paid 11% interest per year and $ 1000 into an account that paid 5% interest per year, and no withdrawals were made from the accounts, to determine what was the total interest earned at the end of year and what was the percent interest for the total deposited, the following calculations must be performed:

7000 x 0.11 + 1000 x 0.05 = X

770 + 50 = X

820 = X

8000 = 100

820 = X

820 x 100/8000 = X

82,000 / 8,000 = X

10.25 = X

Therefore, the total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.

5 0

3 years ago

In which situation do the quantities combine to make zero

Kaylis [27]

Answer:

an integer plus its opposite sum zero. The opposite of a number is called the additive inverse because the two numbers' sum is zero.

5 0

3 years ago

Can someone check my answer? also tell me what property I used.

Semmy [17]

It is not having a definite property it is a way commonly used with algebraic expressions
26 = 8 + x (here, we put x instead of the number we don't know)
you can take 8 to the other side with 26 but it will be minus instead of plus
26 - 8 = ×
18 = x

6 0

3 years ago

A dish that is served at a summer camp calls for 160 ounces of milk. How many one pint containers of milk are needed?

Ivahew [28]

Answer: 2,560 pint containers

Step-by-step explanation:

1 ounce = 0.0625 pints

160 ounces / 0.0625 = 2,560 cointainers of one pint each

3 0

3 years ago

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