Addign trinomials (2x+4xy+8z)+(8x+5xy+23z) all you have to do is combine the like terms 2x and 8x= 10x, 4xy+5xy=9xy, and 8z+23z=31z. so the simplified answer to adding the trinomials would be 10x+9xy+31z.
Subtacting trinomials (4x+9y+3) - (-1+3x-2y) .
When doing subtracting you still combine like terms but this time you change the sign before every term. If that is confusing, just pretend there is a negative 1 infront of parenthases and multiply that before you subtracts the two trinomials. so...
4x - 3x= x, 9y+2y=11y and 3+1=4. so simplified answer of the subtraction would be x+11y+4
I hope this helped :) Good luck !
Answer:
0 slope
Step-by-step explanation:
flat horizantal line
no increase in y-value
Answer:
y =
x - 
Step-by-step explanation:
Given dimensions:
Slope =
Coordinates = (1, -5)
Now;
Equation of the line through the given points;
Solution:
The equation of a line is given as;
y = mx + c
x and y are the coordinates
m is the slope
c is the intercept
So;
let us find the y-intercept;
-5 =
x 1 + C
c = -5 +
= 
The equation of the line is ;
y =
x - 
Answer:
There is sufficient evidence to conclude that women make less money than men doing the same job.
Step-by-step explanation:
The hypothesis for the test can be explained as follows:
<em>H</em>₀: Women does not make less money than men doing the same job, i.e.
.
<em>Hₐ</em>: Women make less money than men doing the same job, i.e.
.
From the provided data compute the sample mean and standard deviation:
![\bar x=\frac{1}{n}\sum X=\frac{1}{18}[1811+728+...+1170]=1125.11\\\\s=\sqrt{\frac{1}{n-1}\sum (X-\bar x)^{2}}=\sqrt{\frac{1}{18-1}\times 1322541.86}=278.92](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20X%3D%5Cfrac%7B1%7D%7B18%7D%5B1811%2B728%2B...%2B1170%5D%3D1125.11%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28X-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B18-1%7D%5Ctimes%201322541.86%7D%3D278.92)
Compute the test statistic as follows:

The test statistic value is -3.143.
Compute the <em>p</em>-value as follows:

*Use a <em>t</em>-table.
The <em>p</em>-value of the test is 0.003.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Conclusion:
There is sufficient evidence to conclude that women make less money than men doing the same job.