Answer:
r = -7
Step-by-step explanation:
Solve for r:
8 r + 9 = -4 (3 - r) - 7
-4 (3 - r) = 4 r - 12:
8 r + 9 = 4 r - 12 - 7
Grouping like terms, 4 r - 12 - 7 = 4 r + (-7 - 12):
8 r + 9 = 4 r + (-7 - 12)
-7 - 12 = -19:
8 r + 9 = 4 r + -19
Subtract 4 r from both sides:
(8 r - 4 r) + 9 = (4 r - 4 r) - 19
8 r - 4 r = 4 r:
4 r + 9 = (4 r - 4 r) - 19
4 r - 4 r = 0:
4 r + 9 = -19
Subtract 9 from both sides:
4 r + (9 - 9) = -9 - 19
9 - 9 = 0:
4 r = -9 - 19
-9 - 19 = -28:
4 r = -28
Divide both sides of 4 r = -28 by 4:
(4 r)/4 = (-28)/4
4/4 = 1:
r = (-28)/4
The gcd of -28 and 4 is 4, so (-28)/4 = (4 (-7))/(4×1) = 4/4×-7 = -7:
Answer: r = -7
-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2
Answer:
{3, 5, 7, 9, 11}
Step-by-step explanation:
Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.
Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).
Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.
So, the Domain of the function is: {3, 5, 7, 9, 11}
The behavior of f(x) from given options is option (4) up on the left, up on the right.
<h3>
What is the behavior of function: </h3>
A function f(x) 's end behavior is how the graph of the function f(x) behaves as x gets closer to positive or negative infinity. The functions degree or the polynomial degree and leading coefficient of a given function will determine the end behavior of the function.
Here we have
f(x) = 3x³² + 8x² - 22x + 43
Here
polynomial degree of f(x) is 32
And leading coefficient is 3
Therefore,
The leading term of the given function is 3x³²
As the given polynomial has an even degree (32) and positive leading coefficient (3) then the graph will open upwards on both left and right.
Therefore,
The behavior of f(x) from given options is option (4) up on the left, up on the right.
Learn more about the End behavior of the function at
brainly.com/question/18076811
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