Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done
A)
150 were surveyed, possible outcomes, and 132 said they prefer dogs, favorable outcomes, 132/150 or 22/25 or 0.88, now 0.88 * 100 is just 88, namely 88% is the probability.
b)
since we know is 88%, what is 88% of 100? (88/100) * 100, 0.88 * 100, or just 88 students.
c)
18/150 or 3/25 or 0.12 namely 12%,
what's 12% of 300? (12/100) * 300, or 0.12 * 300, so just 36 students.
Answer:
The answer is 6
Step-by-step explanation:
Same as plane surfaces on a regular cuboid
Answer:
<u>B. The interquartile range (IQR) for town A, 20, is greater than the</u>
<u>IQR for town B, 10.</u>
Step-by-step explanation:
IQR = Q₃ - Q₁
For the town A:
Q₃ = 40 and Q₁ = 20
IQR of town A = 40 - 20 = 20
For the town B:
Q₃ = 30 and Q₁ = 20
IQR of town A = 30 - 20 = 10
Check the given options:
The most statement is appropriate comparison of the spreads is B
<u>B. The interquartile range (IQR) for town A, 20, is greater than the</u>
<u>IQR for town B, 10.</u>
<u />
Answer:
C should slot on top of A.
Then D should slot in next to C of the left.
Lastly B should be beneath D and on the left of A.
Hope that makes sense.