Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for and
The correct answers are:
Second option
Third option
Fourth option
Answer:
V=16
Step-by-step explanation:
We are given that an inverse variation
We have to find the value of V when p=1/2
To find the value of V we will substitute the value of p
Substitute the value of p
Then, we get
Using multiplication property of equality
Using multiplication property of equality
Hence, the value of V=16
6x
Step-by-step explanation:
1.2(4x-1)=8x-2=6x
Answer:
The roots of the equation are x = and x =
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x =
in the above given equation
a = 5
b = -3
c = 8
therefore,
x =
or
x =
or
x = and x =
or
x = and x =
here i = √(-1)
Hence,
The roots of the equation are x = and x =
and there are no real roots of the equation given above
Answer:
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Step-by-step explanation: