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Deffense [45]
3 years ago
14

The following system of equations is _____.

Mathematics
1 answer:
hoa [83]3 years ago
3 0
The correct answer among the choices listed above is the second option. <span>The following system of equations is equivalent. This is because when written in the same form, one equation will yield to the same equation as the other.

</span>y = -1/3x +2/3 

<span>2x + 6y = 4
</span>6y = 4 - 2x
y = 2/3 - 1/3x
<span>y = -1/3x +2/3 </span>
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Suppose f(x) = x³ . find the graph of f(x+5)
Ganezh [65]
\bf ~~~~~~~~~~~~\textit{function transformations}&#10;\\\\\\&#10;% templates&#10;f(x)=  A(  Bx+  C)+  D&#10;\\\\&#10;~~~~y=  A(  Bx+  C)+  D&#10;\\\\&#10;f(x)=  A\sqrt{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A(\mathbb{R})^{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A sin\left( B x+  C  \right)+  D&#10;\\\\&#10;--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\&#10;\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}&#10;\\\\&#10;\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\&#10;\bullet \textit{ vertical shift by }  D\\&#10;~~~~~~if\   D\textit{ is negative, downwards}\\\\&#10;~~~~~~if\   D\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
5 0
3 years ago
Read 2 more answers
Please can you help me with this perpendicular line question?
kirill [66]

Answer: y=-x+4

Step-by-step explanation:

8 0
2 years ago
What is 10 to the power of 5? I must impreza the teacher!!!
stiv31 [10]

Answer:

100000

Step-by-step explanation:

10x10x10x10x10= 100000

7 0
2 years ago
Jonah cuts a board that is 33 inches long into 4 pieces of equal length. He uses the pieces for the sides of a picture frame. He
Ilya [14]
8. 1 5
4/33.00
32
10
8
20
20
0

8.15+8=10.15

The answer is 10.15 inches long for each frame.
7 0
3 years ago
If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG
velikii [3]

we have that


*-------------------------*--------------------------------*

E                            F                                     G


EF=2x-12

FG= 3x-15

EG=23


we know that


EF + FG = EG


so

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15



therefore


the answer part a) is

the value of x is 10


the answer part b) is

the value of EF is 8


the answer part c) is

the value of FG is 15

6 0
2 years ago
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