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insens350 [35]
3 years ago
9

What is the smallest, positive integer value of x such that the value of f(x) = 2x + 3 exceeds the value of g(x) = 50x + 5?

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0
F(x) > g(x)
2^x + 3 > 50x + 5

for x = 3 , f(3) > g(3)
11 > 155 (false)

for x = 10 , f(10) > g(10)
1027 > 505 (true)

for x = 9 , f(9) > g(9)
515 > 455 (true)

for x = 8 , f(8) > g(8)
259 > 405 (false)

the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)
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Write an equation in slope intercept form of the line shown (1,-3) (3,1)
OLga [1]

Answer:

y = 2x - 5

Step-by-step explanation:

Using the slope intercept formula y2 - y1 / x2 -x1...

You get a slope of 2 so y = 2x +b

Then to find b the intercept, you plug in one of the coordinates like so...

1 = 2(3) + b

Then solve to get an intercept of -5.

So the slope-intercept form would be...

y = 2x - 5

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3 years ago
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Nonamiya [84]

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2

y = -1/2x + c

Now we can substitute x = 1 and y = 3 into the equation:

  • 3 = -1/2(1) + c
  • 3 = -1/2 + c
  • c = 3 + 1/2
  • c = 3 1/2 or 3.5 or 7/2

The equation of the line is y = -1/2x + 3.5

Hope this helps!

3 0
3 years ago
103,727,495 in a word form
3241004551 [841]
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Which triangle is a 30° -60° -90° triangle?
Fittoniya [83]

Answer:

Acute isosceles triangle

Step-by-step explanation:

because an acute angle is more than 45 but less then 90.

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