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Alborosie
3 years ago
15

-3x+2y=6 Find the intercepts. Show your work.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

The x-intercept is (-2,0)

The y-intercept is (0,3)

Step-by-step explanation:

An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:

-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2

So, the x-intercept is (-2,0).

Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:

-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3

Thus, the y-intercept is (0,3).

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John joined a fitness club that has a membership fee of $30 +25 per month. Mary’s club has a fee of 50 and charges 15 per month.
zmey [24]
Just solve until the answers are the same


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8 0
3 years ago
The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of
hichkok12 [17]

The formula for the value of nth term is a_{n} = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term of the sequence
  • d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ a_{n}=a+(n-1)d

∴ a_{n}=4+(n-1)3

- Simplify it

∴ a_{n}=4+3n-3

∴ a_{n}=1+3n

The formula for the value of nth term is a_{n} = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

7 0
3 years ago
How do you solve 10(z-2)=1+4
tamaranim1 [39]

I'm assuming you want us to solve for the unknown variable z

10(z-2)=1+4

Combine like terms on the right side

10(z-2)=5

Use the distributive property on the left side

10z-20=5

Add both sides by 20 to cancel out the "-20" on the left side

10z=25

Divide both sides by 10

z=2.5

That is the value of the known variable, z, in this equation. Let me know if you need any clarifications, thanks!

~ Padoru

6 0
3 years ago
Read 2 more answers
Help me please I don't want to fail:)
AysviL [449]

Answer:

the answer is c.768

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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