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2 years ago

PLEASE HELP! Determine the slope and the y-intercept of the table.

Mathematics

1 answer:

natita [175]2 years ago

3 0

Let's take the first 2 x and y values and use them. First, you need to fill in your formula: y2-y1/x2-x1. It should look like this: 5-2/4-2. Then solve and you should get 3/2. You can't simplify it. So, this is your slope.

Next, you need to put this is into another formula. The formula is y-y1=m(x-x1). Take the first coordinate pair and plug it in for x1 and y1. Plug in your slope for m. When it's filled in, you should have y-2+3/2(x-1). It's hard to explain how to solve it so i'll just write it out.

y-2=3/2(x-2)

y-2=3/2x-3

y=3/2x-1

So, we have our equation in slope intercept form so that we have our slope and our y-intercept.

Y-intercept: -1

Slope: 3/2

Please put this as brainliest it took awhile and I hope this helped :) reply with questions if you still need help or have questions about the steps

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At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col

yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function $B(t)=9(3)^t$ . We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

Upon substituting our given values, we will get:

$\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}$

$\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}$

$\text{Average rate of change}=\frac{9(729)-9(1)}{6}$

$\text{Average rate of change}=\frac{6561-9}{6}$

$\text{Average rate of change}=\frac{6552}{6}$

$\text{Average rate of change}=1092$

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0

2 years ago

What is the value of n in 7 + n/2 = 10

Goryan [66]

Hello!!

$\frac{n}{2} + 7 = 10$

n + 14 = 20

n = 6

Good luck :)

8 0

2 years ago

Which is the correct expansion of (3x + 2y)5?

Kisachek [45]

Answer:

15x +10y

Step-by-step explanation:

Just multiply 5x and 2y times 5 and don't combine them since they are different terms.

5 0

2 years ago

Please help with this question I will give BRAINLIEST to the person that answers correctly

Minchanka [31]

It would 144 sq ft

2*24= 48
48-4=44
50*2=100
100+44=144

3 0

2 years ago

Read 2 more answers

A chord is 5 inches from the center of a circle whose diameter is 26 inches. What is the number of centimeters in the length of

lilavasa [31]

First of all, sorry for not including a picture - I hope I can describe this well enough:

Call the centre of the circle O, the chord AB (touching the circumference at A and B) and the midpoint of AB M. From circle theorems, we know that a radius, passing through the midpoint of a chord, will be perpendicular to it. Therefore we have a right-angled triangle OMA, with the hypotenuse OA forming the radius of length 13in, the line OM being 5in as stated in the question, and the side AM being an unknown.

By Pythagoras' theorem, AM = <span>√(13^2 - 5^2) = 12in (it's a 5,12,13 Triple)

Because M is the midpoint of AB, this value needs to be doubled to get the length of AB as 24in. One inch is 2.54cm (3sf), so the length of the chord is:

24 * 2.54 = 60.96cm, which rounds to 61.0cm (3sf)

I hope this helps
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6 0

3 years ago