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Nata [24]
3 years ago
6

Solve the equation using square roots 3x^2-48=0

Mathematics
1 answer:
kari74 [83]3 years ago
5 0
<span>Simplifying 3X2 + -48 = 0
</span><span>Reorder the terms: -48 + 3X2 = 0
</span><span>Solving -48 + 3X2 = 0
</span>Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
<span>Combine like terms: -48 + 48 = 0 0 + 3X2 = 0 + 48 3X2 = 0 + 48 </span><span>Combine like terms: 0 + 48 = 48 3X2 = 48
</span><span>Divide each side by '3'. X2 = 16
</span><span>Simplifying X2 = 16
</span><span>Take the square root of each side: X = {-4, 4}</span>
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Complete the equation of variation where y varies inversely as x and y = 80 when x = 0.7.
andre [41]
Y varies inversely with x
means that y=k/x 
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is 
y=56/x
3 0
3 years ago
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The figures abov are similar find the missing length show your work 5in by 3in 3in by x
IgorLugansk [536]
Make each a ratio, and set them equal to each other.

Larger rectangle = 3/5
smaller rectangle = x/3

3/5 = x/3

cross multiply

3/5(5)(3) = x/3(3)(5)

3(3) = x(5)

9 = 5x

Isolate the x, divide 5 from both sides

9/5 = 5x/5

x = 9/5

x = 1.8

1.8 in. is your answer

hope this helps
3 0
3 years ago
Please answer this correctly
nikklg [1K]

Answer:

63.59

Step-by-step explanation:

If the perimeter is 32.13, that means it is equal to

2r + 2πr/4 = 32.13

Solving this for r we get 9

Now, we can find the area, which is 3.14*r^2 / 4. Assuming pi to be 3.14 again, we get 63.585. Rounding this to the nearest hundredth, we get 63.59

6 0
3 years ago
A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th
NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

In which a is the probability that he wins the first race but not the second and A \cap B is the probability that he wins both these races.

By the same logic, we have that:

B = b + (A \cap B)

The probability that he wins both races is 0.5.

This means that A \cap B = 0.5

The probability that he wins the second race is 0.6

This means that B = 0.6

B = b + (A \cap B)

0.6 = b + 0.5

b = 0.1

The probability that he wins the first race is 0.7.

This means that A = 0.6

A = a + (A \cap B)

0.7 = a + 0.5

a = 0.2

A) he wins at least one race.

This is

P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

P = a + b = 0.2 + 0.1 = 0.3

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0
3 years ago
Can you simplify 7/63. ( If you can show your work)
Solnce55 [7]
7/63 can be simplified down to 1/9 because if you were to multiply 7 by 9 you would get 63? or an easier way to do it would be to divide 63 by 7
3 0
3 years ago
Read 2 more answers
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