Step-by-step explanation:
When the slope of the function is positive, it is increasing
when the slope of the function is negative, it is decreasing
just like with the line function y = mx + b
so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function
also beware where the slope is zero it is not increasing or decreasing
there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing
increasing interval 1) x < -2 2) x > 1.5
decreasing interval 1) -2 < x < 1.5
at -2 and 1.5 the slope is zero
The left side -0.77777777 does not equal to the right side -10.8, which means that the given statement is false so it is false
Best of luck
hope i helped :)
Answer:
The surface area of given design is 197 in².
Step-by-step explanation:
All the phases expect the side phases are rectangles.
The area of rectangle = Length × Breadth.
Top phase area = 5 × 5=25 in.
Bottom phase area = 9 × 5=45in.
Left Phase area = 5 × 5 =25in.
Right Phase area = 6.4 × 5=32in.
Side phases are of equal area and of the shape quadrilateral.
Area of quadrilateral given = Area of rectangle + Area of triangle
= 5 × 5 + (1/2) × 4 × 5
= 35 in.
Total Surface area = Top phase area + Bottom phase area + Left Phase area + Right Phase area + 2×( Side Phase Area)
= 25+45+25+32+(2×35)
= 197 in².
Answer:
13
Step-by-step explanation:
This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.
Here no. of months in a year are boxes n = 12.
Therefore number of objects( people) = n+1= 13.
Then,at least two people in the group whose birthdays fall in the same month.
Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:
<h3><u>Part (a)</u></h3>
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:
Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:
Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>
From parts (a) and (b):
To find the length of AB, use the distance between two points formula:
Therefore: