Answer: m∠ M′N′O′ = 90 degrees
Step-by-step explanation: Hope that helps ! I am not sure if I am right but I think I am !
Based on the numbers we have we can assume that she saves 3 times more each week than the last (1*3=3, 3*3=9).
Following this trend we would multiply the amount she saved the third week ($9) by 3 to get $27 for the fourth week.
Then, we would multiply the amount she saved the fourth week ($27) by 3 to get $81 for the fifth week.
Finally, to figure out how much she saved in the 5 weeks, we need to add each value up to get 1+3+9+27+81= $121 saved in 5 weeks
Answer:
LCD = 30
3/10 = 9/30
2/3 = 20/30
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30
2) Next, multiply the numerators with the same number you multiplied with the denominator
3 x 3 = 9
2 x 10 = 20
3) Therefore, the answers are:
3/10 = 9/30
2/3 = 20/30
Hope this helps!
Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
Take out the constants.
(
3
×
3
)
x
x
(3×3)xx
2 Simplify
3
×
3
3×3 to
9
9.
9
x
x
9xx
3 Use Product Rule:
x
a
x
b
=
x
a
+
b
x
a
x
b
=x
a+b
.
9
x
2
9x
2