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pentagon [3]
3 years ago
5

Which system is the solution of the graph?

Mathematics
1 answer:
klio [65]3 years ago
3 0

Answer:

y≥-4

y≤-x+4

Step-by-step explanation:

We can see the lines are whole so the equations will use ≤ or ≥.

We see that it is shaded about y=-4, so the equation is y≥-4

We can see the other line has a slope of -1 and a y-intercept of 4 and is shaded below the line so the equation is y≤-x+4

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HELP i know this is simple but i cant seem to find the correct equation
valentinak56 [21]
<h3>Answer:  g(x) = (-2/3)*x^2</h3>

============================================

Work Shown:

f(x) = x^2

g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).

The value of 'a' vertically stretches f(x) upward if a > 0

If 'a' is negative, then we have a reflection going on as shown in the diagram.

We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6

If we plugged x = 3 into f(x), we get

f(x) = x^2

f(3) = 3^2

f(3) = 9

So,

g(x) = a*f(x)

g(3) = a*f(3) ... replace x with 3

g(3) = a*9 ... replace f(3) with 9 since f(3) = 9

-6 = a*9 ... replace g(3) with -6 since g(-3) = -6

9a = -6

a = -6/9

a = -2/3

Therefore, this means

g(x) = a*f(x)

g(x) = (-2/3)*f(x)

g(x) = (-2/3)*x^2

5 0
3 years ago
What is the greatest common factor of 6 and 36
spayn [35]

Answer:

the correct answer is 6 since 36\6 is 6

7 0
3 years ago
Read 2 more answers
Find the third fourth and fifth terms of the sequence defined by a1=1, a2=3, and a n =(-1)n a n-2 for n&gt;3
Maslowich

We have been given that

a_1=1\\  a_2=3\\&#10;a_ n =(-1)^n a _{n-2} \text{ for } n>3

In order to find the third term, we substitute n=3

a_ 3 =(-1)^3a _{(3-2)}\\&#10;\\&#10;a_ 3 =(-1)^3 a _{1}

Substituting the given value of a_1

a_ 3 =(-1)^3 \times 1\\&#10;\\&#10;a_3=-1\times 1\\&#10;\\&#10;a_3=-1

Similarly, we can find the fourth term by plugging n=4

a_ 4 =(-1)^4a _{(4-2)}\\&#10;\\&#10;a_ 4 =(-1)^4 a _{2}\\&#10;\\&#10;a_4= 1\times 3\\&#10;\\&#10;a_4=3

Therefore, the third term is -1

And the fourth term is 3


5 0
3 years ago
A recipe calls for 2 eggs every 7 cups of milk. How many eggs were used if 20 cups of milk were used
kirill [66]
6 eggs, the awnser has to be rounded up
8 0
3 years ago
Which of these is not a Pythagorean Triple? Select one:
ale4655 [162]

Answer:

the answer is option a

Step-by-step explanation:

By Pythagoras theorem,

{1}^{2} +  {2}^{2}   =  {3}^{2}  \\ 1 + 4 = 9 \\ 5 =9

and it doesn't match

4 0
3 years ago
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