Answer:
z ≤ 8
Step-by-step explanation:
-9z ≥ -72
Isolate the variable, z. Treat the ≥ as a equal sign, what you do to one side, you do to the other. Divide -9 from both sides. Note that when you divide a negative number, you will flip the sign:
(-9z)/-9 ≥ (-72)/-9
z ≤ (-72)/(-9)
z ≤ 8
z ≤ 8 is your answer.
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Answer:
The answer is (4,14) because both lines pass through this point.
Answer:
x=e^2/5
Step-by-step explanation:
log(20 x) - log(4) = 2
Add log(4) to both sides:
log(20 x) = 2 + log(4)
Cancel logarithms by taking exp of both sides:
20 x = 4 e^2
Divide both sides by 20:
And we get Answer:
x = e^2/5
Answer:
the midline is the line:
y = 0.
Step-by-step explanation:
The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.
Particularly, for trigonometric functions, we usually have:
f(x) = A*sin(k*x + p) + M
Where:
A is the amplitude.
x is the variable
k is a constant related to the frequency of the function.
p is a phase shift
M is the midline of the function, which means that the line that divides evenly the graph is y = M.
For our case, we have:
y = f(x) = 3*sin(2*x - π)
Then:
A = 3
k = 2
p = -π
And we do not have a constant term in that equation, this means that:
M = 0
This means that the line that divides evenly the graph is the line y = 0.
I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.
<span>The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger.
</span><span>The greater number is 9 more than the smaller number. -----> y = x + 9
x + ( x + 9 ) = 47</span>
