Answer:
ok
Step-by-step explanation:
asap
Answer:
as we know that corresponding angles are same if two parallel line cut by Traversal opposite angle are also same
means x+139=132
so x=132-139
then x=-7
Answer:
$6.024
Step-by-step explanation:
1/2% of 4 = 2
3/5% of 4 = 0.024
0.024 + 4 = 4.024
4.024 + 2 = 6.024
Answer:
The answer is "Option C".
Step-by-step explanation:
In the given question attachment of the table is missing which can be defined as follows:
![\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcc%7D%5Cbold%7Bx%7D%20%26%5Cbold%7Bf%28x%29%7D%5C%5C0%20%26%206%20%5C%5C2%20%26%207%5C%5C4%20%26%200%5C%5C7%20%26%205%20%5Cend%7Barray%7D%5Cright)
In given table a method f(x) values corresponding to different values of x.
We needed to try f(0) value that is in this method, we have to calculate the f(x) value if x=0
As we've seen from the table the f(x) value at x=0 is 6
That's why the correct choice is option C that is 6.
Answer:
1)
1st graph below x-intercepts S={-7,-1}
2) Opens Down <u>Vertex</u>: (-2,4) <u>Axis of Symmetry </u>
<u>x-intercept</u>
B <u>Domain:</u>
<u>Range</u>
C This function increases from
And decreases from ![(-2,\infty)](https://tex.z-dn.net/?f=%28-2%2C%5Cinfty%29)
Step-by-step explanation:
1) The vertex of the parabola is found when we rewrite the common formula:
Into this way:
The Vertex is found by:
![\\h=\frac{-b}{2a};k=\frac{-\Delta }{4a}\\f(x)=y=x^{2}+8x+16-9\Rightarrow y=x^{2}+8x+7\Rightarrow h=\frac{-8}{2}\Rightarrow h=-4\Rightarrow k=\frac{-\Delta }{4a}\Rightarrow \:k=-\frac{8^{2}-(4*1*7)}{4*1}\Rightarrow k=-9\\ (h,k)\Rightarrow (-4,-9)](https://tex.z-dn.net/?f=%5C%5Ch%3D%5Cfrac%7B-b%7D%7B2a%7D%3Bk%3D%5Cfrac%7B-%5CDelta%20%7D%7B4a%7D%5C%5Cf%28x%29%3Dy%3Dx%5E%7B2%7D%2B8x%2B16-9%5CRightarrow%20y%3Dx%5E%7B2%7D%2B8x%2B7%5CRightarrow%20h%3D%5Cfrac%7B-8%7D%7B2%7D%5CRightarrow%20h%3D-4%5CRightarrow%20k%3D%5Cfrac%7B-%5CDelta%20%7D%7B4a%7D%5CRightarrow%20%5C%3Ak%3D-%5Cfrac%7B8%5E%7B2%7D-%284%2A1%2A7%29%7D%7B4%2A1%7D%5CRightarrow%20k%3D-9%5C%5C%20%28h%2Ck%29%5CRightarrow%20%28-4%2C-9%29)
That's why we could rewrite the trinomial as this:
![f(x)=(x+4)^2-9\\](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B4%29%5E2-9%5C%5C)
Give the equation of the parabola's axis of symmetry, this is given by tracing a vertical line through the parabola vertex.
![x=-4](https://tex.z-dn.net/?f=x%3D-4)
The intercepts are the roots/zeros:
![y=x^{2}+8x+7\Rightarrow y=(x+7)(x+1) \Rightarrow x'=-7,\:x''=-1 \:S=\left \{ -7,-1 \right \}](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%2B8x%2B7%5CRightarrow%20y%3D%28x%2B7%29%28x%2B1%29%20%5CRightarrow%20x%27%3D-7%2C%5C%3Ax%27%27%3D-1%20%5C%3AS%3D%5Cleft%20%5C%7B%20-7%2C-1%20%5Cright%20%5C%7D)
<u>Domain:</u>
Since the function has no restrictions therefore it is continuous and defined for any value of x ∈ Real Set
![D=(-\infty,\infty)](https://tex.z-dn.net/?f=D%3D%28-%5Cinfty%2C%5Cinfty%29)
<u>Range</u>
As the minimum point -9 is lowest y-coordinate the Range includes this value up to infinite values
![R=[-9,\infty)](https://tex.z-dn.net/?f=R%3D%5B-9%2C%5Cinfty%29)
(First Graph)
2) ![f(x)=-x^{2}-4x](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E%7B2%7D-4x)
As the parameter a <0 then the graph opens down.
<u>Vertex:</u>
![h=\frac{-b}{2a};k=\frac{-\Delta }{4a}\Rightarrow h=-\left ( \frac{-4}{2(-1)} \right ); k=-\left ( \frac{(-4)^{2}-4(-1)(0)}{4(-1)} \right )\Rightarrow (-2,4)](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%7D%7B2a%7D%3Bk%3D%5Cfrac%7B-%5CDelta%20%7D%7B4a%7D%5CRightarrow%20h%3D-%5Cleft%20%28%20%5Cfrac%7B-4%7D%7B2%28-1%29%7D%20%5Cright%20%29%3B%20k%3D-%5Cleft%20%28%20%5Cfrac%7B%28-4%29%5E%7B2%7D-4%28-1%29%280%29%7D%7B4%28-1%29%7D%20%5Cright%20%29%5CRightarrow%20%28-2%2C4%29)
<u>Axis of Symmetry</u>
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
<u>x-intercept</u>
![\\y=-x^{2}-4x\Rightarrow 0=-x^{2}-4x\Rightarrow x^{2}+4x=0\Rightarrow x(x+4)=0\Rightarrow S=\left \{ 0,-4 \right \}](https://tex.z-dn.net/?f=%5C%5Cy%3D-x%5E%7B2%7D-4x%5CRightarrow%200%3D-x%5E%7B2%7D-4x%5CRightarrow%20x%5E%7B2%7D%2B4x%3D0%5CRightarrow%20x%28x%2B4%29%3D0%5CRightarrow%20S%3D%5Cleft%20%5C%7B%200%2C-4%20%5Cright%20%5C%7D)
<u>y-intercept</u>
c=0 then (0,0).
B <u>Domain:</u>
Similarly, since the function has no restrictions therefore it is continuous it is defined for any value of x ∈ Real Set
![D=(-\infty,\infty)](https://tex.z-dn.net/?f=D%3D%28-%5Cinfty%2C%5Cinfty%29)
<u>Range</u>
![R=(-\infty,4]](https://tex.z-dn.net/?f=R%3D%28-%5Cinfty%2C4%5D)
C
This function increases from
Or we can represent this interval like this:
And decreases from ![(-2,\infty)](https://tex.z-dn.net/?f=%28-2%2C%5Cinfty%29)