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natka813 [3]
3 years ago
5

a line has a slope of -3 and a y-intercept of 5. write the equation of the line in slope-intercept form and explain how you woul

d use the slope and y-intercept to graph the equation?
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

y = -3x + 5

Step-by-step explanation:

Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.

This looks like y - 5 = -3 (x - 0);

Solving for y, you get y = -3x + 5;

To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.

Hopefully this helps- let me know if you have any questions!

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Inessa05 [86]

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

<h3>How do we find a balance?</h3>

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

  • Lucia has $412.76, with pending credits of $134.00.
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Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at brainly.com/question/26867415

8 0
2 years ago
What is the total surface area of the square pyramid in square inches
sladkih [1.3K]
7x9=63
63÷2= 31.5x4
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7x7= 49= area of the square.

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8 0
3 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
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Step-by-step explanation:

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