Answer:
The required range of the function
is [-7,-1]
Step-by-step explanation:
Given : Function ![y=-3\sin (x)-4](https://tex.z-dn.net/?f=y%3D-3%5Csin%20%28x%29-4)
To find : What is the range of the given function?
Solution :
The range is defined as the variation in which any function is defined.
We know that the sin function lies between [-1,1]
.....(1)
The required function is ![y=-3\sin (x)-4](https://tex.z-dn.net/?f=y%3D-3%5Csin%20%28x%29-4)
Multiply equation (1) by -3
.....(2)
Now, we subtract equation (2) by 4
Therefore, The required range of the function
is [-7,-1].
Answer:
y=4x+7
Step-by-step explanation:
it's in the picture
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The value of
is 69/4h and value of
is 43/4h if the area of trapezoid is 14 square units.
Given that area is equal to 1-2(
)h and area is 14 square units.
We know that area of trapezoid is equal to (a+b)h/2.
We have to put the given equation equal to 14 to get our first equation.
14=1-2(
)h
14=1-2
h+2
h
2
h-2
h=-13------------1
Now put the value of area in the formula of area of trapezoid.
14=![(b_{1} +b_{2})h/2](https://tex.z-dn.net/?f=%28b_%7B1%7D%20%2Bb_%7B2%7D%29h%2F2)
h+
=28-----------------2
Multiply equation 2 by 2 and then subtract 2 from 1
=-13-56
-4
=-43
=43/4h
Put the value of
in 2 to get the value of
.
![b_{1} h+43/4h*h=28](https://tex.z-dn.net/?f=b_%7B1%7D%20h%2B43%2F4h%2Ah%3D28)
=69/4h
Hence The value of
is 69/4h and value of
is 51/4h if the area of trapezoid is 14 square units.
Learn more about trapezoid at brainly.com/question/1463152
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Answer:
60 months
Step-by-step explanation:
20 000 = 5000 + 250 m
20 000 - 5000 = 250 m
(15 000) / 250 = m = 60 months