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neonofarm [45]
3 years ago
13

Choose the graph below that correctly represents the equation 2x + 4y = 24.

Mathematics
2 answers:
serg [7]3 years ago
7 0

Answer:

Option 1 st is correct

Step-by-step explanation:

Given the equation:

2x+3y = 24        .....[1]

To graph this equation.

Find intercept for this equation:

x-intercept:

The line that crosses the x-axis.

Substitute y=0  in [1] and solve for x.

then;

2x+3(0) = 24

⇒2x = 24

Divide both sides by 2 we have;

x = 12

x-intercept = (12, 0)

y-intercept:

The line crosses the y-axis.

Substitute x = 0 in [1] and solve for y.

2(0)+3y = 24

⇒3y= 24

Divide both sides by 3 we have;

y = 8

y-intercept = (0, 8)

Using intercepts point:

we plot the given line 2x+3y = 24 as shown below.

IgorLugansk [536]3 years ago
3 0
1st graph is correct

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What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16
kicyunya [14]

Answer:

y=\pm i \sqrt{7}

Step-by-step explanation:

Given equation is \frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

Factor denominators then solve by making denominators equal

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

y\left(y+4\right)-4\left(y-4\right)=9

y^2+4y-4y+16=9

y^2=9-16

y^2=-7

take squar root of both sides

y=\pm \sqrt{-7}

y=\pm i \sqrt{7}

Hence final answer is y=\pm i \sqrt{7}.

7 0
3 years ago
Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B
Zina [86]

Answer: Candidate B has 69,500 votes!

Step-by-step explanation:

one easy way to solve this is by dividing 109,000 in half and that gives us

54500 and 54500 but since Candidate C has 15000 less

we subtract 15000 from candidate c and add 15000 from candidate b

which gives us

Candidate C= 39,500 votes

Candidate B= 69,500 votes

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2 years ago
QUESTION 60 What is the mean of the following set of data? Round your answer to two decimal places. {25, 32, 16, 21, 30, 18, 37}
padilas [110]

Question 60:

The answer is B. 25.57.

Mean is calculated by adding up all the values of a data set, and then dividing that sum by the amount of values.

25, 32, 16, 21, 30, 18, 37=179

179÷7=25.57

Question 61:

The answer is A. 102.

Mode is the number in a data set that appears most often. 102 shows up twice, while the other values only appear once. So 102 is the mode.

3 0
3 years ago
Read 2 more answers
Which is greater? 0.006 or 0.1
frez [133]

Answer:

0.1

Step-by-step explanation:

In a problem like this the number that is more to the left is greater. As you can see 0.1 is more to the left

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3 years ago
Premises: All good students are good readers. Some math students are good students. Conclusion: Some math students are good read
just olya [345]

Answer:

Therefore, the conclusion is valid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

Premises: All good students are good readers. Some math students are good students.

Conclusion: Some math students are good readers.

It is given that All good students are good readers, that means all good students are the subset of good readers.

Now, it is given that some math students are good students, that means there exist some math student who are good students as well as good reader.

Therefore, the conclusion is valid.

The required diagram is shown below:

3 0
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