Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;
![\frac{3}{4}+m=-\frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2Bm%3D-%5Cfrac%7B7%7D%7B4%7D)
We solve for m to obtain:
![m=-\frac{7}{4}-\frac{3}{4}=-2.5](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B7%7D%7B4%7D-%5Cfrac%7B3%7D%7B4%7D%3D-2.5)
We also solve the remaining equations to see which ones give the same result.
A: ![m=\frac{10}{4} =2.5](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B10%7D%7B4%7D%20%3D2.5)
B:![m=-\frac{10}{4} =-2.5](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B10%7D%7B4%7D%20%3D-2.5)
C:![m=-\frac{5}{2} =-2.5](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B5%7D%7B2%7D%20%3D-2.5)
D: ![\frac{11}{4}+m=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B4%7D%2Bm%3D-%5Cfrac%7B1%7D%7B4%7D)
![m=-\frac{1}{4}-\frac{11}{4}=-3](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7B11%7D%7B4%7D%3D-3)
E: ![-\frac{5}{4}+m=-\frac{15}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B4%7D%2Bm%3D-%5Cfrac%7B15%7D%7B4%7D)
![m=-\frac{15}{4}+\frac{5}{4}=-2.5](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B15%7D%7B4%7D%2B%5Cfrac%7B5%7D%7B4%7D%3D-2.5)
F: ![m+2=-0.5](https://tex.z-dn.net/?f=m%2B2%3D-0.5)
![m=-0.5-2=-2.5](https://tex.z-dn.net/?f=m%3D-0.5-2%3D-2.5)
The equivalent equations are; B,C,E, and F.
Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length.
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.
Therefore,
The equation would be:
x + x + y + y = P.
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)
Based on the data given, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is C. There's a weak negative correlation between the variables.
<h3>How to illustrate the information?</h3>
From the information given, it can be seen that the value of y is increasing with the increase in the value of x.
This implies that the correlation is positive. Also, the change in the values of y with x are scattered a lot.
Therefore, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is that there's a weak negative correlation between the variables
Learn more about data on:
brainly.com/question/4219149
#SPJ1
Answer:
7x−3=7k,x=7k+3,k∈ℤ
Step-by-step explanation:
3x ≡ 2 (mod 7)
3 is a solution, since 3×3−2=7.
All solutions are 3+7ℤ
y=3x−2/7=3(x−3)+7/7=3(x−3)/7+1
7x−3=7k,x=7k+3,k∈ℤ
Answer:
A percentage by definition means out of a hundred.
Anything out of a percent is anything out of a hundred.
In this case it’s 32 percent.
It’s just 32/100
When simplified you’d get 8/25