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2 years ago

Does the system have one solution,no solution,or infinitly many? Use substitution to justify your answer

Mathematics

1 answer:

Bad White [126]2 years ago

3 0

Answer:

(0,3) One solution

Step-by-step explanation:

Step: Solve x+5y=15for x:

x+5y=15

x+5y+−5y=15+−5y(Add -5y to both sides)

x=−5y+15

Step: Substitute −5y+15for x in 7x+2y=6:

7x+2y=6

7(−5y+15)+2y=6

−33y+105=6(Simplify both sides of the equation)

−33y+105+−105=6+−105(Add -105 to both sides)

−33y=−99

−33y

−33

−99

−33

(Divide both sides by -33)

y=3

Step: Substitute 3 for y in x=−5y+15:

x=−5y+15

x=(−5)(3)+15

x=0(Simplify both sides of the equation)

Therefore (0,3) which is one solution

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How to solve 2x^2-4x+7=5

Pachacha [2.7K]

chur answer would be X=1

5 0

2 years ago

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

HELP ASAP,, WILL GIVE BRAINLIEST

madreJ [45]

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the right triangle

a + 40° + 90° = 180°

a + 130° = 180° ( subtract 130° from both sides )

a = 50°

a and b are adjacent angles and sum to 180° , so

a + b = 180°

50° + b = 180° ( subtract 50° from both sides )

b = 130°

Then sum the angles in the top triangle, that is

30° + 130° + c = 180°

160° + c = 180° ( subtract 160° from both sides )

c = 20°

8 0

3 years ago

Marcel said he can find 52 times 10 by adding a 0 to the end of 52 to get 520

Rainbow [258]

Answer:

No he can not because if you add 0 to 52 you get 520 and the answer has to be 520

Step-by-step explanation:

4 0

3 years ago

Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.

Hitman42 [59]

Answer:

10.3 units

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 69°

Side length Opposite to reference angle = x

Hypotenuse length = 11

Thus, apply the trigonometric ratio, SOH:

Sin 69 = Opp/Hyp

Substitute

Sin 69 = x/11

11 × Sin 69 = x

10.2693847 = x

x = 10.3 units (nearest tenth)

5 0

3 years ago