Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of <em>A</em>, <em>C</em>, and <em>D</em> to complete the equation modeling the function <em>g</em>, we get;
g(x) = 3·sin(x + π/2) - 4
Answer:
1, 4
Step-by-step explanation:
Hope this helps
Answer:
16
Step-by-step explanation:
Given expression:

Applying exponent rule: [
]


When evaluating the exponent, we get:

Therefore, 16 is the simplified expression.
Learn more about exponents: brainly.com/question/2263967
Answer:
D is correct option
Step-by-step explanation:
The correct option is D.
The standard quadratic equation is ax²+bx+c=0
Where a and b are coefficients and c is constant.
It means that constant are on the L.H.S and there is 0 on the right hand side.
Therefore to make it a quadratic equation first of all you have to add 11 at both sides so that the R.H.S becomes 0.
The given equation is:
2x2-x+ 2 = -11
If we add 11 on both sides the equation will be:
2x2-x+ 2 +11= -11+11
2x^2-x+13=0
Thus the correct option is D
You can further solve it by applying quadratic formula....
Answer:
b = 76°
Step-by-step explanation:
Hi there,
It is important to know that the sum of all the angles in any triangle equals 180°.
For this problem, we can write the following equation:
32° + 72° + b° = 180°
104° + b° = 180°
b° = 76°
Hope my explanation helps. Cheers.