I am going to assume it is 2(3)^x since that matches the values in the table. As for finding the answer, take a close look at both tables and see which x and y value from both have the same answer.
The answer is: " x = 0, 1 " .
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Explanation:
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Given:
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" √(x + 1) <span>− 1 = x " ; Solve for "x" ;
First, let us assume that "x </span>≥ -1 "
<span>
Add "1" to EACH SIDE of the equation:
</span>→ √(x + 1) − 1 + 1 = x + 1 ;
to get:
→ √(x + 1) = x + 1 .
Now, "square" EACH side of the equation:
→ [√(x + 1) ]² = (x + 1 )² ;
to get:
x + 1 = (x + 1)²
↔ (x + 1)² = (x + 1) .
Expand the "left-hand side" of the equation:
→ (x + 1)² = (x + 1)(x +1) ;
Note: (a+b)(c+d) = ac +ad + bc + bd ;
As such: (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
= x² + 1x + 1x + 1 ;
= x² + 2x + 1 ;
Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
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" (x + 1)² = (x + 1)(x +1) " ;
→ Rewrite as: " x² + 2x + 1 = x + 1 " ;
Subtract "x" ; and subtract "1" ; from EACH SIDE of the equation:
→ x² + 2x + 1 - x - 1 = x + 1 - x - 1 ;
to get: → x² <span>− x = 0
Factor out an "x" on the "left-hand side" of the equation:
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</span>x² − x = x(x − 1) ;
→ x (x − 1) = 0 ;
We have: "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .
So, one value of "x" is "0" .
The other value for "x" ;
→ x − 1 = 0 ;
Add "1" to each side of the equation:
→ x − 1 + 1 = 0 + 1 ;
→ x = 1 ;
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So, the answers:
" x = 0, 1 " .
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Consider this option.
The details (the curve and the tangent line) are provided on the attached picture.
Simplify the expression.
−2a to the 3rd power
x to the 3rd power
Over 25
Answer:
The Independent Variable shall always be the X-Axis
The Dependent Variable shall always be the Y-Axis
The title is up to you!!
See the Screenshot for graph!!
Step-by-step explanation:
First, label the axis whether x or y.
I insist you to do months as the x-axis and the # of deer for the y-axis.
**The y-axis can show differences and variations in the data which is why that is crucial to have the number of deer as the y-axis.**
Now, label the axises meaning you need to use the coordinate to make precise labels! On the y-axis, you need to mark it going up by 5's because the frequency of the data can go up or down 5.
After labeling the y-axis, the x-axis shall have 6 categories which have to have room in order to create a bar graph.
Now, graph! The Screenshot gives a clear definition.
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The independent variable is a variable that doesn't depend on another one.
The Dependent is the opposite of the independent.
The independent variable shall always be the X-Axis
The Dependent Variable shall always be the Y-Axis
The title is up to you!!
