Answer:
Option b.
Step-by-step explanation:
We can easily solve this problem by using a graphing calculator or plotting tool.
The function is
h(t) = cos (t +1)
Please, see attached picture below.
By looking at the picture, we can tell that the amplitude is equal to 1
The function has a period of T = 2π
We can see there is no vertical shift.
It has a phase shift of +1. (Which moves the graph to the left)
Answer:
Option b.
According to the vertex and the directrix of the given parabola, the equation is:
![y = \frac{3}{4}(x - 1)^2 + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%28x%20-%201%29%5E2%20%2B%204)
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
![y = a(x - h)^2 + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20h%29%5E2%20%2B%20k)
In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:
![h = 1, k = 4](https://tex.z-dn.net/?f=h%20%3D%201%2C%20k%20%3D%204)
The directrix is at y = 7, hence:
![4 + 4a = 7](https://tex.z-dn.net/?f=4%20%2B%204a%20%3D%207)
![a = \frac{3}{4}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Hence, the equation is:
![y = a(x - h)^2 + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20h%29%5E2%20%2B%20k)
![y = \frac{3}{4}(x - 1)^2 + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%28x%20-%201%29%5E2%20%2B%204)
More can be learned about the equation of a parabola at brainly.com/question/26144898
X = first venture, y = second venture, z = third venture
x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....
x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000
x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000
2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000
x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000
first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==
Answer:
Option A is the correct answer
Step-by-step explanation:
A. The difference of twice the cube of a number and 11
Answer:
C. [-5] < [-3] || D. [-4] < [-2]
Step-by-step explanation:
in A. 5 should be greater, > than -3
in B. 2 should be greater, > than -4
in C. its correct answer. true statement.
in D. its correct answer. true statement.