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hammer [34]
3 years ago
12

for the function Y=3(3/4)^x , identify the Y-intercept and determine whether it is increasing or decreasing

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.Intervals of increasing, decreasing or constant ALWAYS pertain to x-values. Do NOT read numbers off the y-axis. Stay on the x-axis for these intervals! Intervals of Increasing/Decreasing/Constant: Interval notation is a popular notation for stating which sections of a graph are increasing, decreasing or constant.A function f(x) increases on an interval I if f(b) ≥ f(a) for all b > a, where a,b in I. If f(b) > f(a) for all b>a, the function is said to be strictly increasing.The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

I hope this helps

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If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x) ​
Flauer [41]

Answer:

35/4 =8¾

Step-by-step explanation:

using pythagoras theorem

hyp²=opp²+adj²

recall that tanX= opp/adj

taking our opposite side to be 3 and the adjacent side to be 4 , the hyp² = 3²+4²

hypotenuse = 5

recall also that , sinX = opposite /hypotenuse

= 3/5

CosX= adjacent /hypotenuse

=4/5

so we've known tanx = 3/4 cosX = 4/5 sinx= 3/5

substitute these values into your equation

it will give us 3/5 + 4/5 divided by 4/5 ×(1-4/5)

=35/4 = 8¾

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3 years ago
Can I get help please..................
saveliy_v [14]

Answer:

27/20

Step-by-step explanation:

¾ + ³/5= 27/20. .......................

3 0
2 years ago
I just don’t understand the math
olchik [2.2K]
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3 0
3 years ago
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Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.
nata0808 [166]

Answer:

\theta=\dfrac{7}{4}\ \text{radian}

Step-by-step explanation:

We have,

Radius of the circle is 12 cm

Arc length, l = 21 cm

It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :

l=r\times \theta

\theta is central angle

\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}

So, the angle at the centre of the circle is \dfrac{7}{4}\ \text{radian}.

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