Answer: x=4
Step-by-step explanation: 0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)
0.75x+3=6x+−18
0.75x+3=6x−18
0.75x+3−6x=6x−18−6x
−5.25x+3−3=−18−3
−5.25x
/−5.25
=−
21
/−5.25
x=4
Answer:
Domain; [-1, 3)
Range; (-5, 4]
Step-by-step explanation:
The domain of a function is defined as the set of x-values for which the given function is real and defined. In order to find the domain of the graphed function, we have to determine the lowest and the highest x-values for which the function is defined. From the graph, the least value of x is -1 while the greatest x value is 3 but the function is not defined at this point. Therefore the domain of the function is;
[-1, 3)
On the other hand, the range refers to the set of y-values for which the function is real and defined. The least y-value from the given graph is -5 while the greatest y -value is 4. Therefore, the range of the graphed function is;
(-5, 4]
Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer: 24.9793
Step-by-step explanation:
Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.
For this sample, he calculated a mean 
and a standard deviation of 100.
The 95% confidence interval results in an interval of 
We know that the confidence interval for population mean is given by :_
, where E is the margin of error.
By comparing this to the given interval , we find that the margin of error = 24.9793
Answer:
SUre
Step-by-step explanation:
