There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
Answers
Neighborhood B: 45 homes. Each year increases by 3.
A: 30(1.20)^x
B: 45 + 3x
A: 30(1.20)^5 = 30(2.48832) = 74.6496 or 75 houses
B: 45 + 3(5) = 45 + 15 = 60 houses
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A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women exercise in the morning. Are being married and exercising in the morning independent?A) Yes. P(married | exercise in the morning) = P(exercise in the morning | married) = 75% B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45% C) No. P(married and exercise in the morning) = 60% & P(married)·P(exercise in the morning) = 42% D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%
What is the median cost of 26$, 35$, and 50$
Pls help its urgentttt
14. Sixteen is the same as the quotient of a number and 12.
3 hours
B.
1 hour
C.
30 hours
D.
20 hours
Answers
Since it would take 12 hours to clean the place and the workers already cleaned for 9 hours, there is still 3 hours left to completely clean the office building. (12 - 9 = 3)
t ... the amount of time the workers have left to clean the windows
t = 12 hours - 9 hours = 12 - 9 = 3 hours
The correct result would be A. 3 hours.
Answers
Rectangle 1: 1/3 shaded
Rectangle 2: 1/4 shaded
First you have to look through each denominators multiples to find the lowest common denominator (LCD).
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 4: 4, 8, 12, 16, 20
As you can see, both numbers are multiples of 12.
Rectangle 1: 1/3 shaded= 4/12 shaded
Rectangle 2: 1/4 shaded= 3/12 shaded
I made equivalent fractions by multiplying both the numerator and the denominator by the same number.
The least number of parts which both rectangles can be divided is 12.
Hope this helped :)
1; 19
–1; 19
3; 6
–3; 1
Answers
Answer:
Option B. x = -1, 19
Step-by-step explanation:
The given equation is x² - 18x = 19
We can get the value of x by factorizing the expression or by quadratic formula.
We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.
x² - 18x - 19 = 0
x² - 19x + x - 19 = 0
x(x - 19) + 1(x - 19) = 0
(x - 19)(x + 1) = 0
x = 19, -1 will be the solutions.
So there is no need to apply quadratic formula.
Option B. x = -1, 19 is the answer.
REMEMBER THIS
ok
first, make sure that a is 1
done
now take 1/2 of b and square it
-18/2=-9, (-9)^2=81
add that to both sides
x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides
x=19
x=-1
answer is -1; 19
2nd choice is answer
Answers
The zeroes of the polynomial function are 0, 6, and -4.
Given that,
Polynomial function; .
We have to determine,
The zeroes of the polynomial,
According to the question,
To determine the zeroes of the given polynomial function following all the steps given below.
Polynomial function; .
Factorize the polynomial function to find the zeroes of the function,
Therefore,
The zeroes of the polynomial function are,
Hence, The zeroes of the polynomial function are 0, 6, and -4.
For more details refer to the link given below.
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.
a + b
ab
Answers
Answers
Answer:
AC
Step-by-step explanation:
Both ABC and ADC share the same AC side of the triangle.