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Nutka1998 [239]
3 years ago
7

Find the x-intercept of the line 3x - 9y = 15.

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

The x-intercept is 5.

Some people prefer you right it as a point (5,0).

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

Just like to find the y-intercept you can set x=0 and solve for y.

Let's find the x-intercept.

So we will set y=0 and solve for x:

3x-9y=15

3x-9(0)=15

3x-0    =15

3x        =15

Divide both sides by 3:

 x         =15/3

 x          =5

So the x-intercept is (5,0).

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6 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Novay_Z [31]
Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 
3(0) ≥ (0) - 9 
3 ≥ - 9  yes 
3x + y > - 3 
3(0) + (0) > - 3
3 > - 3 yes 
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
3y ≥ x - 9 
3(2) ≥ (4) - 9
6 ≥  - 5 yes
3x + y > - 3 
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

4 0
3 years ago
Find the nth term of the arithmetic sequences<br> a1=5,d=6,n=11
ki77a [65]

here's the solution,

  • n = 11
  • a = 5 ( a = first term )
  • d = 6 ( d = common difference )

we know,

=》

nth  \: \: term \:  = a   \: + (n - 1) \times d

=》

11th \:  \: term   = 5 + (11 - 1) \times 6

=》

11th \:  \: term = 5 + (10 \times 6)

=》

11th \:  \: term  = 5 + 60

=》

11th \:  \: term = 65

nth term ( 11th term ) = 65

3 0
3 years ago
Lisa has 100 dollars in A savings account. The interest rate is 5% per year and is not compounded. How much interest will she ea
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20 dollars, she will earn this because five percent of one hundred is five, times five by four and you get your answer of twenty!
7 0
3 years ago
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Which is the simplified form of the expression3(7/5x+4)-2(3/2-5/4x)
kogti [31]

<u>67x + 90</u>

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5 0
3 years ago
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