All categories

2 years ago

The equation 3x2 = 6x - 9 has two real solutions True False

Mathematics

1 answer:

dedylja [7]2 years ago

5 0

Answer: FALSE

Step-by-step explanation:

The first step is to rewrite the equation in the form $ax^2+bx+c=0$ , then:

$3x^2 = 6x - 9\\3x^2-6x +9=0$

Now, we need to calculate the Discriminant with this formula:

$D=b^2-4ac$

We can identify in the given equation that:

$a=3\\b=-6\\c=9$

Then, we only need to substitute these values into the formula:

$D=(-6)^2-4(3)(9)$

$D=-72$

Since $D$ then the equation has no real solutions.

You might be interested in

In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which eq

MAXImum [283]

<h3>Answer: Choice C</h3>

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
P(B) = 20/80 = 1/4 = probability of picking someone taking French
P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

6 0

2 years ago

PLEASE HELP ASAP

Vlad [161]

Answer:

1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

5 0

2 years ago

Explain why any of the four operations (+x +) placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational

kompoz [17]

To answer this question we will have to understand the nature of $\sqrt{8}$ .

$\sqrt{8}$ can be rewritten as: $\sqrt{2\times 2\times 2} =2\sqrt{2}$ . Now, $\sqrt{2}$ is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.

The only way irrational numbers can be made rational is by dividing or multiplying the given irrational number by the same irrational number.

8 0

2 years ago

A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio

dem82 [27]

Ratio 10:6
so 10+6 = 16

112/16 =7

white balls: 10 * 7 = 70
striped balls: 6 * 7 = 42

Answer: he needs to add 70 white balls and 42 striped balls to keep the same ratio 10:6

8 0

2 years ago

What is the product of 6+5i and 4+7i?

Vilka [71]

(6 + 5i)(4 + 7i) = 24 + 42i + 20i + 35i²
= 35i² + 62i + 24

The product of 6+5i and 4+7i is 35i² + 62i + 24.

8 0

3 years ago