Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where 
is the width and 
is the length.
The perimeter of a rectangle is twice its length added to twice its width.
The length is 3 more than the width:
We can now substitute in 
as in the equation .
Distribute the first terms:
Combine like terms:
Subtract 6 from both sides:
Divide both sides by 4:
Now we know that w = 4. We can now substitute this inside an equation to find .
Hope this helped!
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
-6x-4(-7x-13)=-58
Multiply the bracket by -4
-6x-4(-7)-4(-13)= -58
-6x+28x+52= -58
22x+52= -58
Move +52 to the other side. Sign changes from +52 to -52.
22x+52-52= -58-52
22x= -110
Divide by 22.
22/22x= -110/22
x= -5
Answer: x= -5
You add up all of the Frequencies together (to get 50)
The number 6 was rolled 9 times. So that makes it 9/50.
9/50 -> .18 or 18%
Does that help?
