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3 years ago

Which line on the graph represents the equation y=3x-2

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

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what is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3 (x – 6) and passes thr

velikii [3]

For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2 [m1 = -2/3]

Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1

6 0

3 years ago

A fair coin is tossed three times and is tails each time. What is the probability that the next toss will be

Sergio [31]

The probability that the next toss will be heads is 1/8.

<h3>What is probability?</h3>

The likelihood of an event occurring is described by probability. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.

Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the probability of an event happening can range from 0 to 1.

Probability of getting two tails and next heads in three tosses is,

=1/2*1/2*1/2

=1/8

Learn more about probability here:

brainly.com/question/24756209

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4 0

2 years ago

Write an equation of the line below.

Veronika [31]

Answer: y=2x+2

Step-by-step explanation:

slope-intercept form: y=ax+b

----------------------------------------

#1 Find the slope

- Use rise/run to find the slope: 8/4=2

- Use slope formula: (2-(-6))/(0-(-4))=8/4=2

#2 Find the y-intercept

- Given the point (2, 0) it is already the y-intercept which is 2

----------------------------------------

a=2

b=2

y=2x+2

4 0

3 years ago

Example 24 In a school there are 20 teachers who teach mathematics or physil

Trava [24]

Answer:

The number of teachers who teach physics n(P) = 12

Step-by-step explanation:

Step(i):-

Given that the number of teachers who teach mathematics or physics

n(MUP) = 20

Given that the number of teachers who teach mathematics

n(M) = 12

Given that the number of teachers who teach both mathematics and physics

n(M∩P) = 4

Step(ii):-

By using n(A∪B) = n(A) + n(B) - n(A∩B)

n(M∪P) = n(M) +n(P) - n(M∩P)

20 = 12 + n(P) - 4

20 -12 +4 = n(P)

n(P) = 12

Final answer:-

The number of teachers who teach physics n(P) = 12

3 0

3 years ago

Read 2 more answers

If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or

Katyanochek1 [597]

The original number is 72

(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72

5 0

3 years ago