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3 years ago

Which statement best describes a graph of paired points that form a proportional relationship?

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

Answer:

A straight line can be drawn through all the points and the line passes through the origin.

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M= 1 1/2 going through (6,4) plug into y=mx=+b

Tema [17]

M = 1.5 = 3/2
y = mx + b
b = y - mx = 4 - (3/2)6 = 4 - 9 = -5
So equation of the line is:
y = 3x/2 - 5

3 0

4 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

3 years ago

42=3(2-3h) can someone plz answer and show me how to do this

maria [59]

You have to use distributive property.<span />

4 0

3 years ago

What is the slope of the line that passes through the points (3, -2) and (9, -2)?

Step2247 [10]

Answer:

0 or 0/6

Step-by-step explanation:

3+6=9

-2+0=-2

0/6=0

6 0

3 years ago

8 friends share 3 cookies, what fraction of the cookie does each friend get?

kirza4 [7]

8 friends share 3 cookies.

There are 3 cookies and 8 people.

We need to know how much cookie 1 friend gets.

1 friend gets 3/8 of a cookie.

There are 8 friends, so 8 x 3/8 = 3. The 8 friends will finish 3 cookies if they all have 3/8 of a cookie.

Each friend gets 3/8 of a cookie.

4 0

4 years ago