All categories

3 years ago

Whats an example of a quadratic equation that cannot be factored with a real solution?

Mathematics

1 answer:

Makovka662 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

The key here is the "discriminant." That's b^2 - 4ac, where a, b and c are the coefficients of the quadratic.

If the discriminant turns out to be positive, we have two real, different roots.

If the discriminant turns out to be zero, we have two real, equal roots.

Finally, if the discriminant turns out to be negative, we have two complex, different roots.

Just supposing that a = 1 and b = 2, the discriminant would be

2^2 - 4(1)c. Set this equal to 0 and solve for c: 4 - 4c = 0, or c = 1. If c is greater than 1, the discriminant will be negative and we will have two comlex, different roots.

You might be interested in

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Lunna [17]

Answer:

Step-by-step explanation:

After 3 days :

3³ = 27 belts
4(3) + 15 = 12 + 15 = 27 belts

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

3 0

2 years ago

Help!!! how many solutions are there to this nonlinear system???

Anna [14]

Answer:

Step-by-step explanation:

No solutions, because the graphs do not intersect.

8 0

2 years ago

30 POINTS

PtichkaEL [24]

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

$\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}$

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

$\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}$

Therefore, the tire is turning 180 degrees per second.

6 0

3 years ago

Read 2 more answers

an electrician can wire on average 4.5 houses in a week.how many months will it take her to wire 55 houses if she wires the same

Roman55 [17]

If you know how to divide by decimal you have to divide 55 ÷ 4.5 and you would get 12 but if you don't know keep multipling a number times 4.5 but overall if you don't want to do all the work the answer is going to be (55×4.5=12 or 4.5×12=55— 12 houses)

6 0

3 years ago

PLEASE HELP! We can translate ()=2|−2|−5 to the right 3 units and up 5 units to create (). Write the equation for function g.

alisha [4.7K]

Answer:

$g(x)=2\,|x-5|$

Step-by-step explanation:

Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

$g(x)=2\,|x-3-2|- 5+ 5\\g(x)=2\,|x-5|+0\\g(x)=2\,|x-5|$

5 0

3 years ago