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2 years ago

Which equation represents a line passing through the points (8, 16) and (-1,-11)?

1 answer:

5 0

Answer: (24/16)x+3
Explanation: First you have to find your slope so to do that you’ll have to do y1-y2/x2-x1. Once you have your slope you have to put this into an equation and use y=mx+b, so you can use the two first points (8,16) and plug it into the formula. You’ll have 16=3(8)+b once you have that you’ll multiply 3(8) which is 24 and then bring that down so now you have 16=24+b, the next step is to divide 16 by 24 you cannot divide this though because you’ll have a decimal n you don’t want that so you’ll have a fraction of 24/16.

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Don’t really know what linear functions are

kondaur [170]

Answer:

The rate of change of f(x) is greater than that of g(x)

They have the same y intercept of 14

Step-by-step explanation:

Given

$g(x) = -\frac{1}{2}x + 14$

Table for function f(x)

Required

Compare their rate of change and intercept

For g(x), we have:

$g(x) = -\frac{1}{2}x + 14$

The form of an equation is:

$y = mx + b$

Where

$m = slope$

$b =y\ intercept$

So:

$m = -\frac{1}{4}$

$b = 14$

For f(x): Start by calculating the slope (m)

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

$m = \frac{17-16}{6-4}$

$m = \frac{1}{2}$

The intercept is calculated using:

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

Where

$(x_1,y_1) = (-2,13)$

$(x_2,y_2) = (0,y)$ --- we want to solve for y

So:

$\frac{1}{2} = \frac{y - 13}{0 --2}$

$\frac{1}{2} = \frac{y - 13}{2}$

Multiply both sides by 2

$1 =y - 13$

Make y the subject

$y =1 + 13$

$y = 14$

So, we have:

$m = -\frac{1}{4}$ and $b = 14$ -- for g(x)

$m = \frac{1}{2}$ and $y = 14$ --- for f(x)

By comparison:

The rate of change (i.e. slope) of f(x) is greater than that of g(x) because $1/2 > -1/2$

They have the same y intercept of 14

3 0

3 years ago

Nick bought 17 hamburgers for his friends. Each hamburger cost him $1.91, including tax. Which is the best estimate of the total

netineya [11]

Answer:

1.91 =2 and 17x2= around 34

Step-by-step explanation:

4 0

2 years ago

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How do you simplify this expression using positive exponents?<br>

icang [17]

Answer: 1/2^17

Step-by-step explanation:

3 0

3 years ago

What is the nth term rule of the linear sequence below 1,7,13,19,25

zysi [14]

First you see how it goes up 6 each time this is the start of your nth term rule
6n
Then -6 from the first term to get the ‘0th term’ 1-6=-5
So nth term rule is
6n-5
hope this helps

4 0

3 years ago

Which of the numbers below are exactly divisible by 9?

ss7ja [257]

B and C can be divided by 9.

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3 years ago

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