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2 years ago

HELP

Mathematics

2 answers:

MArishka [77]2 years ago

8 0

Answer:

What is the equation for this situation?

✔ y = 65x

Which could NOT be a point on this table?

✔ (8, 455)

Step-by-step explanation:

Just did it

Gekata [30.6K]2 years ago

6 0

Answer:

Equation: y = 65x

Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.

Step-by-step explanation:

Pick any two points to find slope, let's got with (3, 195) and (4, 260):

slope m = (y₂- y₁) / (x₂ - x₁)

= (260 - 195) / (4 - 3)

= 65 / 1

m = 65

Find y-intercept by using m from above and another point from your table, let's go with (5, 325):

y = mx + b

325 = 65(5) + b

325 = 325 + b

b = 0

Use m and b to form equation of line:

y = mx + b

y = 65x + 0

y = 65x

Check:

point (3, 195): 195 = 65(3) ====> 195 = 195

point (4, 260): 260 = 65(4) ====> 260 = 260

point (5, 325): 325 = 65(5) ====> 325 = 325

point (6, 390): 390 = 65(6) ====> 390 = 390

Example of a point that doesn't belong on table:

point (8, 500): 500 = 65(8) ====> 500 ≠ 520

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The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

$0=-x+0.956\\\\x=0.956$

hence, the x-intercept of the tangent line is 0.956

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