Answer:
The error made is that the graph of
is a vertical translation up by 3, instead of down.
Step-by-step explanation:
Exponential functions, when they are graphed, use the function
.
In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function,
. So, the translation is actually 3 units up compared to the graph of
.
Hope this helps and have an amazing day!! ❤
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is
times larger than the smaller leg. In this case, these dimensions are a base of
for the smaller leg and
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

Step-by-step explanation:
Let's pick two points on the line:
and
Let's calculate the slope of this line using these points:

With this value of the slope, we can write the general slope-intercept form of the equation as

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

Therefore, the slope-intercept form of the equation is

Answer:
1/4 or 25%
Step-by-step explanation:
Only 1 whisker earned 25 or less so it's 1/4
Answer:
120 coins our in her purse if the 2 dollar factor is made up of nickels