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3 years ago

Which of the following statements is true

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

Answer:

c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

a. This quadratic equation has exactly one real solution.

b. This quadratic equation has two real solutions.

c. This quadratic equation has two complex solutions.

d. This quadratic equation has no solutions.

The one that is true is c: two complex solutions.

The discriminant of quadratic ax^2 +bx +c = 0 is ...

d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

You might be interested in

A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be d

german

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

$\dfrac{x}{8000}=\dfrac{3}{125}$

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

$x=\dfrac{3}{125}(8000)$

$x=0.024(8000)$

$x=192$

So around 192 cell phones are expected to be defective out of 8000 phones.

6 0

3 years ago

The centers for disease control and prevention reported that 25% of baby boys 6-8 months old in the united states weigh more tha

melisa1 [442]

Answer:

0.1971 ( approx )

Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

Since, the binomial distribution formula is,

$P(x)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75

Total number of samples, n = 16,

Hence, the probability that fewer than 3 weigh more than 20 pounds,

$P(X$

$=^{16}C_0 (0.25)^0 (0.75)^{16-0}+^{16}C_1 (0.25)^1 (0.75)^{16-1}+^{16}C_2 (0.25)^2 (0.75)^{16-2}$

$=(0.75)^{16}+16(0.25)(0.75)^{15}+120(0.25)^2(0.75)^{14}$

$=0.1971110499$

$\approx 0.1971$

3 0

3 years ago

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

4 0

2 years ago

What is the factorization of the expression below?

olchik [2.2K]

Answer: D. (x-6)(x-6)

Step-by-step explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

$x^{2}-12x+36$ (1)

First term: $x^{2}$

Third term: $36=6^{2}$

If we factorize this expression we have:

$(x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36$

As we can see, the trinomial (1) has two factors:

$(x-6)$ and $(x-6)$

Therefore, the correct option is D.

8 0

3 years ago

Help this is due today

Gelneren [198K]

Answer:

2 1/2 I think

Step-by-step explanation:

you find the L.C.M for all the fractions and multiply it. You should end up with whole numbers.

It should look like this

2n+3n=2

n= 2n+3n = 5

2 2

n= 2 1/2

8 0

2 years ago