All categories

2 years ago

What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?

Mathematics

1 answer:

dolphi86 [110]2 years ago

5 0

Answer:

y = -5x + 15

Step-by-step explanation:

We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.

We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):

Rise = (0 - 5) = -5

Run = (3-2) = 1

Rise/Run = Slope, m) = -(5/1) or -5

Now we have y = -5x + b

To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.

y = -5x + b

0 = -5(3) + b

b = 15

The equation becomes <u>y = -5x + 15</u>

See attachment.

You might be interested in

Consider a credit card with a balance of $7000 and an APR of 16.5 %. If you want to make monthly payments in order to pay off th

shtirl [24]

9514 1404 393

Answer:

$7641.24

Step-by-step explanation:

The amortization formula tells the payment amount.

A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is paid off in t years with n payments per year at interest rat r.

Using the given values, we find ...

A = $7000(0.165/12)/(1 -(1 +0.165/12)^-12) = $7000×0.01375/(1 -1.01375^-12)

A = $636.77

The total of 12 such payments is ...

$636.77 × 12 = $7641.24

You will pay a total of about $7641.24.

_____

<em>Additional comment</em>

Since the payment amount is rounded down, the actual payoff will be slightly more. Usually, the lender will round interest and principal to the nearest cent on each monthly statement. The final payment will likely be a few cents more than the monthly payment shown here.

7 0

2 years ago

On a cruise of 1125 passengers. 450 were female what fraction of passengers were male?

WINSTONCH [101]

Step-by-step explanation:

$\\1125-450=675$

$\frac{675}{1125}$ $=\frac{3}{5}$

4 0

2 years ago

Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):