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borishaifa [10]
3 years ago
8

50 points each, give brainliest if correct!

Mathematics
2 answers:
garri49 [273]3 years ago
5 0

Answer:

Step-by-step explanation:

m = -3

y  -y1 = m(x -x1)

y - 4 = -3(x -5)

y - 4 = -3x + 15

 y = -3x + 15 + 4

y = -3x + 19

g(5) = -3*5 + 19 = -15 + 19 = 4

g(3) = -3*3 + 19  = -9 + 19 = 10

ratelena [41]3 years ago
5 0

Answer: g(x)=-3x+19

Step-by-step explanation:

1) Write the equation to find the slope: m=\frac{y_2-y_1}{x_2-x_1}

2) Substitute Info: m=\frac{10-4}{3-5}

3) Simplify: m=3

4) Write point-slope form: y-y_1=m(x-x_1)

5) Substitute info: y-4=-3(x-5)

6) Distribute: y-4=-3x+15

7) Write in slope intercept form/Add 4 on each side and simplify: y=-3x+19

8) Substitute: g(x)=-3x+19

9) BONUS!!!!!! Graph:  

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Alika [10]

Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.

So let's multiply each term by 100 to clear the decimals:

(100)0.25x + (100)0.35 = (100)(-0.29)

25x + 35 = -29

Now we can solve the equation as normal:

25x + 35 - 35 = -29 - 35

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x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.

Let's look at one more:

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We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.

(100)(1.75x) + (100)(4) = (100)(6.2)

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We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:

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175x = 220

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Step-by-step explanation:

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