All categories

3 years ago

A quadratic equation is shown below:

Mathematics

1 answer:

vlabodo [156]3 years ago

6 0

hello :

help :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 ) Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions

You might be interested in

A container is filled with 56 litres of pinapple juice. 8 litres of pinapple juice are extracted and the container is refilled w

malfutka [58]

If it's refilled with 8 litres of mango juice, the resulting mixture will be 8 parts mango and 48 parts pine, or 1 part mango, 6 parts pine. (AKA, roughly 16.67% mango juice).

Now, if they take out 8 litres from that mixture, that 8 litres will also be 1 part mango and 6 parts pine, leaving you with 48 litres of 1 part mango, 6 parts pine.

Hang on, because it gets tricky from here. We're going to use a formula here:

<---- where there are q[1] litres of p[1] % that we start with, and we add q[2] litres of p[2] % mix, and so we'll end up with a mixture that is (q[1] + q[2]) liters big that will have a different percent mixture p[3] from what we started.

We started with 48 liters that is 16.67% mango. So <---- change the percent to a decimal.

We're going to add 8 liters of pure mango juice, so <--- The 100% mango juice is the 1 in decimal.

As total mix, we'll have litres which is 48 + 8 = 56, BUT the percentage mango of the new mixture will surely be different.

So our equation so far is: . All we have to do is solve for .

<---- simplified

<--- roughly 28.57% mango juice or mango juice. Since mango is 2/7 of the mixture, the other 5/7 is pine. The problem asked for the ratio between mango to pine, and that would be the 2:5.

6 0

3 years ago

You roll a number cube 20 times. The number 4 is ro

elena-14-01-66 [18.8K]

It would be 40 answer A

5 0

4 years ago

there are two factors of -36 such thatone factor is 11 less than half of the other factor. choose all the pairs of these factors

aleksandrvk [35]

Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.

So,

$-36=x(0.5x-11) \\ \\ 
-36=0.5 x^{2} -11x \\ \\ 
-72= x^{2} -22x \\ \\ 
 x^{2} -22x+72=0 \\ \\ x^{2} -18x-4x+72=0 \\ \\ 
x(x-18)-4(x-18)=0 \\ \\ 
(x-4)(x-18)=0 \\ \\ 
x=4, x=18$

If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2

So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18

From these -2 and 18 is available in the options. So this is the correct answer.

7 0

4 years ago

Currently I have a 70.50 (D+) in my french class and my final exam for it is tomorrow. What is the minimum possible grade I can

Llana [10]

Minimal grade to barely pass would be a C, but you should review and go for at least a B or B+ if you want to pass with a C in the class as a whole.

3 0

3 years ago

PLEASE HELP ME thank you answer needs to be in simplest radical form find d

sweet [91]

Answer:

$d=10$

Step-by-step explanation:

Pythagorean theorem:

$d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}$

Alternative:

$\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}$

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths $x-x-x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse. Since this triangle's hypotenuse is $10\sqrt{2}$ , its sides are $10-10-10\sqrt{2}$ .

3 0

3 years ago

Read 2 more answers