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PolarNik [594]
3 years ago
6

A quadratic equation is shown below: 4x2 − 12x + 9 = 0

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3
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21 trucks, each with a 2.5-ton payload, are needed to unload a freight train. How many trucks, each with a 3.5-ton payload, woul
castortr0y [4]
Tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15

15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job. 

6 0
3 years ago
What is the domain of the function y=2√x-6?<br> 88AX&lt;∞<br> O 0≤x&lt;∞<br> 3≤x&lt;∞<br> 6≤x&lt;∞
Travka [436]

Answer:

If the x-6 is all under the sqrt, the last answer is right:

6<= x <= infinity

If only x is under the sqrt and - 6 is NOT under the sqrt, then:

0 <= x <= infinity is the correct answer.

Step-by-step explanation:

You can look at the equation and or graph to determine the domain of a function. The domain is all the x's that may go into the equation or all the x's on the graph of the function. Inside of a squareroot symbol the number inside there must be positive. While considering the equation, only x's that keep that inside positive can be used.

For sqrt(x-6), x has to be 6 or bigger.

For sqrt(x) - 6, x has to be 0 or bigger.

6 0
2 years ago
There are 4 students on a team for a relay race. How many teams can be made from 27 students?
Lina20 [59]
There can be 6 teams because 
27/4= 6.75
yet there will be 3 students left, so they can be a team ;)
8 0
4 years ago
Read 2 more answers
6 years ago jack was three times older then wade. In four years wade will be half as old as jack. How old are they now?
mixer [17]

Answer:

Jack's age is 36

Wade's age is 16

Step-by-step explanation:

Let jack's age be "j"

and

Wade's age be "w"

First, we have:

6 yrs AGO, Jack was 3 times as Wade, so we can write:

j-6 = 3(w-6)

Then, we have:

4 yrs from NOW, Wade will be HALF as Jack, so we can write:

w+4 = 0.5(j+4)

Lets simplify the first equation:

j-6 = 3(w-6)

j - 6 = 3w - 18

Solving for j:

j = 3w - 18 + 6

j = 3w - 12

Now, simplifying the second equation:

w+4 = 0.5(j+4)

w+4 = 0.5j+2

w = 0.5j - 2

Now we replace this equation with j's expression we found from first equation:

w = 0.5j - 2

w = 0.5(3w - 12) - 2

w = 1.5w - 6 - 2

0.5w = 8

w = 16

Now, finding j:

j = 3w - 12

j = 3(16) - 12

j = 36

So,

Jack's age is 36

Wade's age is 16

4 0
4 years ago
Just want to double check if I'm correct? Tysvm!
kakasveta [241]

Answer: Yes, you're right.

Step-by-step explanation:

8 0
3 years ago
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