The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap. What is an expression equivalent to 4d - 4?
Answers
Answer:
The equivalent expression for is
Step-by-step explanation:
The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.
To get equivalent expression we factor the expression 4d-4
Greatest common factor is 4
Factor out 4 from the expression 4d-4
when we factor out 4, we divide each term by 4
The equivalent expression for is
Answer:
-4 + 4d
Step-by-step explanation:
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Unit rate in feet per second 240 yards in 1 hour
Answers
Answer:
(0, –2)
Step-by-step explanation:
I am assuming that point 'B' is (-5 , 0).
The translation rule is: .
Apply the rule to point 'B':
B' should be (0, -2).
Answer:
Guy above me might be right but Im not sure. Im on the cumulative exam on edge.
Step-by-step explanation:
a. y = 3
b. x = 3
c. y = 4
d. x = 4
Answers
Answers
hopefully this helps you and gives you insight in how to solve the problems from now on (:
= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])
= $11.8 + 5 ($4.4/7)
= $11.8 4/5 + $22/7
= $59/5 + $22/7
= $413/35 + $110/35
= $523/35 or $14 33/35
answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7
Final answer:
A linear model representing retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4. The estimated sales at bookstores in 2012 would be approximately $21.46 billion.
Explanation:
To solve this problem, we need to create a linear model. A linear model is a mathematical representation expressed as y = mx + b, where m is the slope, and b is the y-intercept.
To determine the slope (m), we subtract the ending value of retail sales from the starting value and divide by the number of years. So, subtract $7.4 billion (sales in 1990) from $11.8 billion (sales in 1997) and divide by 7 (the number of years from 1990 to 1997): (11.8 - 7.4) / 7 = 0.63. So, m = 0.63.
The y-intercept (b) is the value of y when x = 0. In this model, this corresponds to the sales in 1990, because x is the number of years since 1990, and 'x = 0' therefore corresponds to the year 1990. So, b = $7.4 billion.
The final linear model for retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4.
To estimate the retail sales at bookstores in 2012, we plug T = 22 (because 2012 is 22 years after 1990) into our linear model: s(22) = 0.63*22 + 7.4 ≈ $21.46 billion. So, the estimated retail sales in bookstores in 2012 were about $21.46 billion.
Learn more about Linear Models here:
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Answers
number in a=6000-2000x where x=number of hours
number in b=2000-1000x
when will a=b
so set them equal to each other and solve
6000-2000x=2000-1000x
subtract 6000 from both sdies
-2000x=-4000-1000x
add 1000x to both sdies
-1000x=-4000
multiply -1
1000x=4000
divide by 1000
x=4
in 4 hours, they will be the same, but, their numbers will be negative, so there is actually no real life time when they will be the same observe
1 hour: a=4000, b=1000
2 hour a=2000 b=0
3 hour a=0 b=-1000
4 hour a=-2000 b-=-2000
but you can't have -2000 cells, you can only have 0 or more than 0
Final answer:
Strain A and Strain B will have the same number of cells after 2 hours.
Explanation:
To find out when the two strains of bacteria will have the same number of cells, we need to calculate the time it takes for each strain to reach the same cell count. Let's start with Strain A, which decreases at a rate of 2000 cells per hour. We can set up an equation:
6000 - 2000t = 2000
Solving for t, we find that it will take 2 hours for Strain A to reach the same cell count as Strain B. Therefore, the two strains will have the same number of cells after 2 hours.
Learn more about Bacteria growth here:
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Answers
Answer:
The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.
Step-by-step explanation:
Answer:
£1464.84 is your answer
Step-by-step explanation:
Depending on whether you use simple or compound interest. I would think the stock would be worth:
$
750
×
1.25
=
$
937.50
at the end of one year,
$
937.50
×
1.25
=
$
1171.88
at the end of two years, and
$
1171.88
×
1.25
=
$
1464.84
at the end of three years.
Or, if you want to compute it in one shot,
$
750
×
1.25
3
=
$
1464.84
.
How would I start this problem?
Answers
2a - b/b
Then, get to work:
-- Wherever you see 'a', put in 4 .
-- Wherever you see 'b', put in -3 .
2(4) - (-3/-3)
Can you handle that ?
Hint:
The thing on the right is a fraction with the same number on top and bottom.
Any fraction like that is always equal to ' 1 '.