Compare the exponential functions f, g, and h which are shown below.

Mathematics

1 answer:

Nostrana [21]3 years ago

5 0

Hello,
Please, see the detailed answer in the attached files.
Thanks.

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System of equations

nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

$-3x+y=9$ -----> equation A

$2x-y=-6$ -----> equation B

Adds equation A and equation B

$-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3$

Find the value of y

$-3(-3)+y=9$

$9+y=9$

$y=9-9=0$

The solution of the system of equations is the point (-3,0)

4 0

2 years ago

Find the distance between the two points. Round your solution to 2 decimal points.

VashaNatasha [74]

Notice the grid, the points are (-5, -2) and (4, -1), thus

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 4}} &,&{{ -1}}~) 
% (c,d)
&&(~{{ -5}} &,&{{ -2}}~)
\end{array}~~
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-5-4]^2+[-2-(-1)]^2}\implies d=\sqrt{(-5-4)^2+(-2+1)^2}
\\\\\\
d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{81+1}\implies d=\sqrt{82}$

6 0

3 years ago

What is the quadratic in vertex form that has a vertex of (-1, 5)<br><br> Options in image

dimaraw [331]

Answer:

Third option

$y = (x+1) ^ 2 + 5$