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2 years ago

Which ordered pair is a solution of the equation? -3x – y = 6 Choose 1 answer:

Mathematics

1 answer:

Aleks [24]2 years ago

5 0

Answer:

Step-by-step explanation:

I can not see your answers to choose but with this equation for 2 variables, you can replace the values of x and y and see if that is right or not.

For example, to know (-2,5) is a solution, you replace x= -2 and y= 5

into this equation: -3x -y = 6

and you have: -3*(-2) -5 =6

or 6-5 =6, and you find that is impossible, so (-2.5) is not a solution.

Hope you understand it

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In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

antiseptic1488 [7]

Answer:

$\frac{5}{29}$

Step-by-step explanation:

Let $n(A)$ represent students playing basketball, $n(B)$ represent students playing baseball.

Then, $n(A)=7$ , $n(B)=24$

Let $n(S)$ be the total number of students. So, $n(S)=29$ .

Now,

$P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}$

$P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}$

3 students play neither of the sport. So, students playing either of the two sports is given as:

$n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26$

∴ $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}$

From the probability addition theorem,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Where, $P(A\cap B)$ is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for $P(A\cap B)$ . This gives,

$\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}$

Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is $\frac{5}{29}$

6 0

2 years ago

What are the solutions of the inequality?

g100num [7]

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

3 0

2 years ago

A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid.

ivanzaharov [21]

D :)
Because the y values are the same, all we need to take into account is the difference in the length of the x values.

5 0

2 years ago

Which number line represtents the solution to |x+4|=2?

vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

$|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x$

To solve the equation, you need to treat the two cases as above:

$|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2$

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

$|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x$

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0

2 years ago

What is the tangent ratio for

yawa3891 [41]

Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:

tan T = 3/4

tan U = 4/3

3 0

2 years ago

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