Step 1: -12x - 2y ≥ -42
Step 2: -2y ≥ -12 - 42
Step 3: y ≤ -6x + 21
So the answer is
D) <span>y ≤ -6x + 21</span>
Answer:
Domain : {x | all real numbers} ; Range: {y | y > 0}
Step-by-step explanation:
The function can be written as :
![f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5Cfrac%7B2%7D%7B3%7D%5D%7B108%5E%7B2%5Ccdot%20x%7D%7D%5C%5C%5C%5C%5Cimplies%20f%28x%29%3D%28108%29%5E%7B%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B2%5Ccdot%20x%7D%7D)
Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers
But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1
So, Range of f(x) is all real numbers greater than 0
Hence, Domain and Range of f(x) is given by :
Domain : {x | all real numbers} ;
Range: {y | y > 0}
Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,

Consider the first and third ratio,

Substitute the values of d = 3 , b= 5 and ∠D=25°

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
Answer:
Slope: -7/2
y-intercept: 5/2
y = -7/2x + 5/2
Step-by-step explanation: