All categories

3 years ago

Which of the statements about the following quadratic equation is true?

Mathematics

2 answers:

anzhelika [568]3 years ago

6 0

Answer:

Its A) the discriminant is greater than zero, so there are two real roots.

Step-by-step explanation:

Sedaia [141]3 years ago

3 0

After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)

You might be interested in

Factor completely x^3 + 1/8

maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0

3 years ago

Read 2 more answers

On a blueprint of a house, 48 millimeters represents 7 meters. The length of the living room is 60 millimeters on the blueprint.

Pani-rosa [81]

Here is the equation 48/7=60/x, 48÷7=6.8571428571. Now we know that every one meter in real life is equal to 6.8571428571 millimeters so, 60÷6.8571428571= 8.75 meters. The living room is 8.75 meters

3 0

3 years ago

If a 100.8 kg cement bag had 20.35 kg removed from it, what is the new weight of the bag?

Snowcat [4.5K]

Just subtract 20.35 from 100.8
$100.8 \: kg - 20.35 \: kg = 80.45 \: kg$

if your bag weighs 100.8 kg and you scoop out 20.35 kg then weigh your bag it will be 80.45 bc u took out 20.35 kg of the cement to use. hope that explains it

8 0

3 years ago

ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 t

Sholpan [36]

Answer:

the answer to this question 2 cups

Step-by-step explanation:

2 cups is equal to a pint

7 0

3 years ago

In 2006, the population of the country was 30.4 million. This represented an increase in population of 7.6 % since 2001. What w

Molodets [167]

Answer:

28.25 million

Step-by-step explanation:

Population of the country:

in 2001 - x million
in 2006 - 30.4 million

Population of the country as percent:

in 2001 - 100%
in 2006 - 100% + 7.6% = 107.6%

Write a proportion:

$\dfrac{x}{30.4}=\dfrac{100}{107.6}$

Cross multiply:

$107.6\cdot x=30.4\cdot 100$

Divide by 107.6:

$x=\dfrac{30.4\cdot 100}{107.6}=\dfrac{3,040}{107.6}\approx 28.25$

6 0

3 years ago