Divide both sides by 5 to get:
12:5
Answer:
a = -2
Step-by-step explanation:
-3a + 8 = 14
First you want to combine the constants by subtracting 8 from both sides.
-3a = 6
Now you want to isolate a by dividing both sides by -3.
a = -2
Check your answer by plugging -2 back into the equation.
-3(-2) + 8 = 14
6 + 8 = 14
14 = 14
Your answer is correct.
Hope this helps!
1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
Read more about Domain of function at; brainly.com/question/10197594
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Answer:
C. 36 in.
Step-by-step explanation:
The wall is 66 inches high by 72 inches wide.
The tiles are
a) 9 inch square = 3 by 3
b) 16 inch square = 4 by 4
c) 36 inch square = 6 by 6
d) 64 inch square = 8 by 8
Factors of 66 = 2 x 3 x 11
Factors of 72 = 2 x 2 x 2 x 3 x 3
Now, we can see that in both 66 and 72 , we have 2 x 3 common that is 6.
And square of 6 is 36.
So, the answer is option C.
Answer:
The correct option is;
line a and line b
Step-by-step explanation:
Lina a passes through (-1, 0) and (1, 2)
Line b passes through (2, 2) and (-1, -1)
Line c passes through (0, 3) and (1, 0)
Line d passes through y = 1
An equation that has no solution
By examination, from the plot of the coordinates using an online tool, the system that would have no solution is the system of line a and line b because they are parallel lines and cannot meet or have a point where there is a common solution, therefore, there are no solutions when the equations of the two lines are combined in one equation
Slope of line a = -2/-2 = 1
Slope of line b = 3/3 = 1
The slopes of lines a and b are equal, therefore, line a and line b are parallel.
