<span>An equation that is satisfied for every value of the variable for which both sides are defined is called an identity.
For example:
Given the equation
3x + 4 = x + 2(x + 2)
Notice that for any value of x you use, the equation is true.
Thus, this type of equation is called an identity.
</span>
Answer:
<em>Well, Your answer will be is </em><em>D. 100 feet squared. </em><em>Because, </em>
<em>1. Multiply 10x6 and 10x4.
</em>
<em>
</em>
<em>2. Add 60 and 40, the results from the previous step.
</em>
<em>
</em>
<em>3. You get 100, or 100 feet squared. </em><em>Good Luck!</em>
<em>
</em>
<em />
Answer:
C. 1, -9
Step-by-step explanation:
I just put it on desmos
Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
