y = x² + 6x + 3
y = x² + 6x + 9 - 6
y = (x + 3)² - 6
since the coefficient of x² is positive, then min at (-3,-6). the answer is C.
Answer:
landing on a shaded portion and landing on an even number
; landing on a shaded portion and landing on a number greater than 3
; landing on an unshaded portion and landing on an odd number
; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.
Then we have the following:
1) 22% grow
y = a( 1 + 22%/100 )^x = a(1.22)^x
So the solution is: 124(1.22)^x
2) 12% decay
y = a( 1 - 12%/100 )^x = a(0.88)^x
So the solution is: y = f(x) = 44(0.88)^x
3) 20% decay
y = a( 1 - 20%/100 )^x = a(0.8)^x
So the solution is: f(x) = 22(0.8)
4) 12% Groth
y = a( 1 + 12%/100 )^x = a(1.12)^x
So the solution is: f(x) = 42(1.12)^x
The answer is 7
7^ ⁴ = 49
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
