Answer:
See explanation
Step-by-step explanation:
f(x) = -2lx-3| +1
1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right
2. -lx-3| ==> Flip the graph over the x-axis
3. -2lx-3| ==> Double all the y-coordinates of the graph
4. -2lx-3| +1 ==> Translate the graph 1 unit up
1 yard = 3 feet
7 yard = 21 feet
21 + 2 = 23 feet
Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft
Answer:
Coordinates involve two points. (x,y)
Too find a pair (coordinate), use the x and y lines on the graph and see where the point falls.
For example
Point A is number <em>1</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>y</em><em> </em><em>axis</em>
<em>number</em><em> </em><em>-</em><em>4</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>x</em><em> </em><em>axis</em>
<em>So</em><em>,</em><em> </em><em>you</em><em> </em><em>would</em><em> </em><em>write</em><em> </em><em>the</em><em> </em><em>coordinate</em><em> </em><em>out</em><em> </em><em>at</em><em> </em>
<em>(</em><em>-</em><em>4</em><em>,</em><em>1</em><em>)</em>
The y axis values are the second point, so after you plot all of letters, use the y axis numbers and number them from least to greatest so you can find the mystery word.
