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3 years ago

Which equation describes the line that passes through points (2,5) and (0,9)?

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

y = -2x+9

Step-by-step explanation:

We first need to find the slope

m = (y2-y1)/(x2-x1)

= (9-5)/(0-2)

= 4/-2

= -2

We will use the slope intercept form of a line

y= mx+b where m is the slope and b is the y intercept

y =-2x+b

We know that 9 is the y intercept since x is equal to zero

y = -2x+9

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3 years ago

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

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Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

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The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

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Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

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The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

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3 years ago

Andy is solving a quadratic equation using completing the square. If a step in the process results in 169/9 = (x – 6)2, could th

natta225 [31]

Yes the equation can be solved by factoring. Using the given equation take the square root of both sides. Both 169 and 9 are perfect squares so the left side becomes plus or minus 13/3 which is rational. Six plus 13/3 is also a rational number. If the solutions of a quadratic equation are rational then the equation is factorable. Please mark a good rating and brainlest

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Answer:

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Step-by-step explanation:

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Let y = x/8+3

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Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

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