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Eduardwww [97]
3 years ago
12

If x=3 is a solution of the equation 2x²-5x+k=0 find the value of k​

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

k = - 3

Step-by-step explanation:

Given that x = 3 is a solution then it satisfies the equation, that is

2(3)² - 5(3) + k = 0

2(9) - 15 + k = 0

18 - 15 + k = 0

3 + k = 0 ( subtract 3 from both sides )

k = - 3

ipn [44]3 years ago
5 0

Answer: k = -3

Step-by-step explanation:

2x²-5x+k=0

Substitute x=3

2(3)^2-5(3)+k=0

2(9)-15+k=0

18-15+k=0

3+k=0

k=-3

To check if your answer is correct you can substitute x=3 and k = -3

2(3)^2-5(3)-3=0

2(9)-15-3=0

18-15-3=0

3-3=0

So k = -3 is correct

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Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
Base area: 12.5 m2; height: 1.2 m
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Answer:

Volume = 150 m^2

Step-by-step explanation:

Using Volume formula of prism, we get L*W*H, but since we know the area of the base is L*W, which is 12.5, we multiply 12.5 by 12 to get 150 m^2.

7 0
3 years ago
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions a
Mice21 [21]

Answer:

AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

R= {(x, y) ∈ A ✕ B| x R y ⇔ |x| = |y|}

S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

R ∪ S= {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S}

R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}

Step-by-step explanation:

Let A = {−4, 4, 7, 9} and B = {4, 7},

Then A X B= { (-4,4),(-4,7),(4,4),(4,7),(7,4),(7,7),(9,4),(9,7)}

AXB contains all elements of A and B such that x from A and y is from B.

AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

R= {(-4,4),(4,4),(7,7)}

R consists all ordered pairs where  |x| = |y|

R= {(x, y) ∈ A ✕ B| x R y ⇔ |x| = |y|}

S= { (-4,4),(4,4),(7,7)}

S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

S consists all ordered pairs where x-y is even.

R ∪ S, = { (-4,4),(4,4),(7,7)}

R US is a set containing subsets of both sets R and S

R ∪ S= {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S}

R ∩ S=  {(-4,4),(4,4),(7,7)}

R ∩ Sis a set containing subsets only which are common between sets R and S

R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}

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3 years ago
Based on these results, enter the expected probability that the coin will land with the tails side facing up the next time it is
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Answer:

2.34657

Step-by-step explanation:

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4 years ago
the length of a rectangle is 5 inches more than the width the perimeter is 70 inches what is the length
nadezda [96]

The sum of length and width is half the perimeter, so is (70 in)/2 = 35 in. Since this is the sum of length and width, if we add 5 inches, it will be twice the length. That is ...

... length + width = 35 in

... length + (width + 5 in) = (35 in) + (5 in)

... 2×length = (35 in) + (5 in) = 40 in


The length of the rectangle is 20 inches.

4 0
4 years ago
Read 2 more answers
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