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Damm [24]
3 years ago
5

Find the discrimanant and the number of real roots for this equation 9x^2+12x+4=0

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

For this case we have that by definition, the discriminant of a quadratic equation ax ^ 2 + bx + c = 0, is given by:

d = b ^ 2-4 (a) (c)

d> 0: Two different real roots

d = 0: Two equal real roots

d: Two different complex roots

If we have 9x ^ 2 + 12x + 4 = 0, then:

a = 9\\b = 12\\c = 4

Substituting the values:

d = 12 ^ 2-4 (9) (4)\\d = 144-144\\d = 0

Thus, we have two equal real roots.

ANswer:

We have two equal real roots.

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Which graph below shows a system of equations with one solution?<br><br> 1 and 2
andrew11 [14]

Answer: the Second one

Step-by-step explanation:

Hope this helps you

6 0
3 years ago
At the concert, there are 75 more girls than boys. If the ratio of girls to
Kryger [21]
<h3>Answers:  100 girls and 25 boys</h3>

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

Explanation:

x = number of boys

The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.

For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.

----------

We're told there are 75 more girls than boys, so,

number of girls = (number of boys) + 75

4x = x + 75

4x-x = 75

3x = 75

x = 75/3

x = 25

There are 25 boys and 4x = 4*25 = 100 girls.

We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.

And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.

3 0
2 years ago
The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the
irina1246 [14]

Answer:

G(-3, 6)

Step-by-step explanation:

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Substitute the coordinates of M and D into the formula:

( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&=  \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4  &\\  - 2= x1 + 1&, &10 &= y1 + 4 &\\   x1=  - 2 - 1&,& y1 &= 10 -  4 &\\  x1=  - 3&, &y1& =6  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: &

Thus, the coordinates of G is (-3,6).

8 0
3 years ago
Determine the cardinal number of A={2,4,6,8,10}
dimulka [17.4K]

A cardinal number of a set is the number of elemenents it contains. Therefore the cardinal number of A is equal to 5.

3 0
3 years ago
Divide 6300 between two persons in the ratio 2 ratio 5<br>​
Galina-37 [17]

Answer:

Step-by-step explanation:

Do you mean

divide 6300 between two persons in the ratio 2 to 5?

If so, then there will be a total of 7 parts

6300/7 = 900

2(900) = 1800

5(900) = 4500

4 0
3 years ago
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