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Savatey [412]
2 years ago
7

Write the equation of the line in slope-intercept form that has: slope: -1 and point: (1, 1)

Mathematics
1 answer:
lara31 [8.8K]2 years ago
3 0

Answer:

f(x) = -1x + 1

Step-by-step explanation:

f(x) = mx + b

the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that???  look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.

f(x) = -1x + 1

hope i could help

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Step-by-step explanation:

10/2 = 5

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Near the equator, the earth rotates approximately 34 kilometers every 32 seconds. what is the speed of earth's rotation near the
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Step-by-step explanation: The earth rotates 34 km every 32 seconds. We can simplify this by dividing both sides by 32. Now, we have 34/32 km every 32 seconds. Now, to further simplify this, we need to convert 34/32 to a mixed number 34/32 = 1 2/32 which then can be simplified to 1 1/16. So, near the equator, the speed of Earth's rotation is 1 1/16 km per second.

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4 0
3 years ago
G is a trigonometric function of the form g(x)=a sin (bx+c)+d.
emmainna [20.7K]

Answer:

Formula for g(x) is g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

                         = (9 - 3)/ 2

                         = 6/2 = 3

⇒A = 3

Now,

Period = \frac{2\pi }{B}

⇒B = (2π) / Period

      = (2π) / 10

      = π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

      = 3 sin(\frac{\pi }{5}(x -(- 1))) + 6

⇒g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6

∴ we get

Formula for g(x) is g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6

8 0
2 years ago
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