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nydimaria [60]
3 years ago
11

Find the roots of the quadratic equation 3x2 − 12x − 60 = 0

Mathematics
1 answer:
uranmaximum [27]3 years ago
3 0
3x²-12x-60=0
simplify by dividing by 3: x²-4x-20=0
cannot be factored, use the quadratic formula: √(b²-4ac)=√[(-4)²-4*1*(-20)]=√96=4√6
x=2+2√2 or x=2-2√2
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The Knicks and Nets have a total 30 players.
Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

K + N = 30

20K + 10N = 500

where K is the number of Knicks players, and N is the number of Nets players.

We can substitute the first equation into the second and solve for K

K + N = 30

N = 30 - K

20K + 10N = 500

20K + 10(30 - K) = 500

20K + 300 - 10K = 500

10K + 300 = 500

10K = 200

K = 20

5 0
2 years ago
To produce at a point lying ______ the production possibilities curve would require economic growth.
Rina8888 [55]

To produce at a point lying inside the production possibilities curve would require economic growth.

<h3>What is production possibilities curve ?</h3>

The production possibilities curve can be described as a graph  that help to display the  different combinations of output  which can be gotten from  given current resources and technology.

In this case, To produce at a point lying inside the production possibilities curve would require economic growth.

Learn more about production possibilities curve on:

brainly.com/question/26460726

#SPJ4

3 0
2 years ago
5 A triangle has two congruent angles. The length of one
nlexa [21]

Answer:

<em>Answer: C. 32 cm</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem </u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

Answer: C. 32 cm

4 0
2 years ago
Read 2 more answers
What is<br> |-3+45-(-14)|+(-|-87+12/46|<br> simplified
USPshnik [31]
|x|=absoulte value of x  which means whatever x is, make it positive
so first solve any division/multiplication

the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56

56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
4 0
3 years ago
What is 2,000/3.67 estimate
RideAnS [48]

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

6 0
2 years ago
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