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Morgarella [4.7K]
4 years ago
5

Carson has $450 in his bank account and deposits $70 per month out of his babysitting money. Construct a linear function that mo

dels Carson’s bank balance for any given month.
Mathematics
1 answer:
Anton [14]4 years ago
7 0

Answer:

y=450+70x

Step-by-step explanation:

Let the number of months = x

It is given that,

Carson deposits $70 each month and has $450 in his bank account.

So, the initial deposit is $450 and monthly deposit is 40x.

Let Carson's bank balance = y (in dollars).

Thus, the linear function representing the bank balance is,

y=450+70x

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Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y
adell [148]

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

4 0
3 years ago
How can you figure out how many inches are in 1 yard?<br><br> PLS HELPP
IgorLugansk [536]
I believe it’s 36 inches hope this helps
7 0
3 years ago
the length of a rectangle is 9 inches more than the width. the perimeter is 54 inches. Find the length and width of the rectangl
Keith_Richards [23]
W is width W+9 is length W+W+9=54 2w=45 45/2 W=22.5 Width is 22.5 length is 31.5
7 0
3 years ago
What is the slope of (-7,-1) and (3,8)? Pls show your work
kondor19780726 [428]

Answer:

m=\frac{9}{10}

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

m=\frac{8-(-1)}{3-(-7)}

Evaluate:

m=\frac{9}{10}

Therefore, the slope between the two points is 9/10.

6 0
3 years ago
Can someone help me out
stich3 [128]

Answer:

m= -5/8

Step-by-step explanation:

Slope of a line containing the points,

\frac{y2 - y1}{x2 - x1}  = m

where, m is the slope

Here,

m =  \frac{7 - 2}{4 - 12}  =  \frac{  5}{ - 8}  =  \frac{ - 5}{8}

4 0
3 years ago
Read 2 more answers
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