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2 years ago

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Mathematics

2 answers:

zlopas [31]2 years ago

8 0

Answer:

Use the two ordered pairs to find the slope, m.

Then substitute one set of ordered pairs and m into y = mx + b to solve for b

Step-by-step explanation:

If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$ .

After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.

Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.

Deffense [45]2 years ago

4 0

Answer:

Use the two ordered pairs to find the slope, m .

Then substitute m and one set of ordered pairs into y = mx + b to solve for b .

Step-by-step explanation:

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–6(x + 5) + 3 = –2(x + 4) – 4x

Irina-Kira [14]

Step-by-step explanation:

–6(x + 5) + 3 = –2(x + 4) – 4x

–6x – 30 + 3 = –2x –8 – 4x

–6x –27 = –6x –8

–6x + 6x = –8 + 27

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3 years ago

Find the value of sin(a/2) if cosa= 12/13

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

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2 years ago

Please Help Part C Final Part Thanks

alexandr402 [8]

3 blue + 3 yellow = 6 total marbles.

The probability of picking a blue one first would be 3/6 ( 3 blue out of 6 total marbles).

3/6 reduces to 1/2.

After picking the first marble, there would be 5 marbles left in the bag.

The probability of picking a yellow one would be 3/5 ( 3 yellow and 5 total marbles left).

The probability of picking a blue then a yellow then becomes:

1/2 x 3/5 = 3/10 = 0.30 = 30%

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3 years ago

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What is the solution to the equation |2x+3|+5=12

notsponge [240]

You can write it either way.

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3 years ago

Please answer I'm giving out a thanks, follow, and a brainliest.

Sveta_85 [38]

The mode of a set of numbers is the number that occurs the most.

The numbers in this set are as follows,

26, 17, 9, 12, 18, 21, 9, 14, 18, 23, 15, 7, 20, 18, 17, and 12

26 I

17 II

9 II

12 II

18 III

21 I

14 I

23 I

15 I

7 I

20 I

The number that appears the most is 18!

So the mode of the set of numbers is 18!

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2 years ago

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