All categories

4 years ago

What is the discriminant of the given equation ? X^2-2x+2+0 a)-12 b)8 c)-4 d)-8

Mathematics

1 answer:

Neporo4naja [7]4 years ago

8 0

∆= b^2 - 4ac

where b= -2
a=1
c=2

therefore: 2^2 - 4 x 1 x 2
= 4 - 4 x 2
= 4 - 8
= -4

You might be interested in

Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by t

Mandarinka [93]

Answer:

The standard form of the equation is 49t² - 75t + 3 = 0

The solution of the equations are 1.49 and 0.041

Step-by-step explanation:

* Lets explain how to solve the problem

- The standard form of the quadratic equation is ax² + bx + c = 0,

where a , b , c are constant and a can not be 0

∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1

- Lets make the left hand side equal to 0

∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides

∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10

∴ 49t² - 75t + 3 = 0

* The standard form of the equation is 49t² - 75t + 3 = 0

∵ ax² + bx + c = 0

∴ a = 49 , b = -75 , c = 3

- Lets use the formula $x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$ to solve

the equation

∴ $x=\frac{-(-75)+\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=1.49$

∴ $x=\frac{-(-75)-\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=0.041$

* The solution of the equations are 1.49 and 0.041

6 0

3 years ago

On a certain river, a paddleboat travels 12 miles upstream (against the current) in the same amount of time it travels 20 mil

marin [14]

Given :

a paddle boat travels upstream = 12 miles

a paddle boat travels downstream = 20 miles

speed of the current = 2 miles per hour

Let the speed of the boat =x

Let the time taken = t

We know the distance for upstream D= (boat speed - current speed) * time

the distance for downstream D= (boat speed + current speed) * time

Plug in all the values and variables in the distance

For upstream 12 = (x-2)t, then $t = \frac{12}{x-2}$

For downstream 20 = (x+2)t then $t = \frac{20}{x+2}$

we got two equations for t, equate it and solve for x

$\frac{12}{x-2} = \frac{20}{x+2}$

Cross multiply it

12(x+2) = 20(x-2)

12x + 24 = 20x - 40 (subtract 12x and add 40 on both sides)

64 = 8x

x= 8

the speed of the boat in still water = 8 miles per hour

3 0

3 years ago

Read 2 more answers

41% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

lina2011 [118]

The answer would be c

7 0

3 years ago

5^4=625 in log form pls.

galben [10]

Answer:

$log_{5}(625)=4\\$

7 0

3 years ago

Read 2 more answers

If f(x) = x and g(x) = 2, what is (f*g)(x)?

gayaneshka [121]

Answer:

I think this question is askingg fofr f(g(x)), in which case you are simply inserting g(x) into the f(x) solution, in this case 2 for x. This is because (f*g)(x)=f(g(x)).

Step-by-step explanation:

6 0

3 years ago