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EastWind [94]
3 years ago
13

Help Please I need Slope= y-intercept=(0, )

Mathematics
2 answers:
alexgriva [62]3 years ago
3 0
The y-intercept is -5 and the slope is 4
nignag [31]3 years ago
3 0

For this case, we must find the slope of the line. For this we need two points, observing the graph we have:

(x_ {1}, y_ {1}) = (2,3)\\(x_ {2}, y_ {2}) = (0, -5)

The slope is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {-5-3} {0-2}\\m = \frac {-8} {- 2}\\m = 4

Thus, the slope is 4.

The line of the graph is of the formy = mx + b

y = 4x + b

Substituting a point:

3 = 4 (2) + b\\3 = 8 + b\\b = 3-8\\b = -5

So, the cut point with the y axis is -5

Answer:

m = 4\\b = -5


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2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

32*-2=-64\\-64*-2=128\\128*-2=-256

This means that the answer is B

3) The sequence is being multiplied by \frac{1}{3} each time. This means that it is geometric.

The next 3 terms would be:

3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

f(x)=1.5(x-1)+15

Now we can find the first 4 terms

f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5

This would mean that the answer is B

5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

f(x)=4.5(10)^{x-1}

Now we can find the first 4 terms

f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500

Unless you meant that the ratio was \frac{1}{10}, the answer is D, none of the above

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1. Solve the equations below.
Sergio039 [100]

Step-by-step explanation:

A) 3x + 8 = 23

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