A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Initial data when Jackie bought = 2 gigabytes
Rate of change of data per year:
[tex]\rm\frac{dB}{dt} = 3.5[/tex]
We can frame a linear function such that:
[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]
[tex]\rm y = 2 + 3.5n[/tex]
Where y represents the total data stored at n years.
And n represents the [tex]\rm n^{th}[/tex] year
When n = 0 then y = 2 (initial data when Jakie bought it)
When n = 1 then y = 5.5 (after one year the amount of data Jakie's computer has)
Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.
Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
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Solve for h: 7a=10+2h
Answer:
[tex] \frac{7a}{2} - 5 = h[/tex]
Step-by-step explanation:
[tex]7a = 10 + 2h[/tex]
Isolate 2h
[tex]7a - 10 = 2h[/tex]
Divide both sides of the equation by 2
[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]
Simplify
[tex] \frac{7a}{2} - 5 = h[/tex]
Use the distributive property: (5x - 3y + 4)6
Answer:
30x - 18y + 24
Step-by-step explanation:
When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).
A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?
Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?
Answer:
16 boxes in 10 minutes
Step-by-step explanation:
2/5 = 15 sec
15 ÷ 2=7.5 1/5 = 7.5 seconds
7.5 × 5 = 37.5 37.5 = 1 box
60 × 10 = 600 secs
600 ÷ 37.5 = 16
16 boxes of toffee were made in 10 minutes
Given f(x) = -x + 2, find f(0)
Step-by-step explanation:
Using the f(x) defined in the question,
f(0) = -(0) + 2 = 2.
Solve the equation 3x-7=x+23
Answer:
x = 15
Step-by-step explanation:
3x-7=x+23
Subtract x from each side
3x-x-7=x-x+23
2x -7 = 23
Add 7 to each side
2x-7+7 = 23+7
2x = 30
Divide by 2
2x/2 = 30/2
x = 15
Answer:
x=15
Step-by-step explanation:
3x-x=23+7
2x=30 divide by 2
x=15
The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?
Answer:
Length of fencing needed = 4x + 45
Step-by-step explanation:
Assume;
Width of rectangle = x
So,
Length of rectangle = x + 45
Find:
Length of fencing needed
Computation:
Length of fencing needed = 2(l+b) + b
Length of fencing needed = 2(x+45+x) + x
Length of fencing needed = 2(2x+45) + x
Length of fencing needed = 4x + 45
Given f(x) = x2 - 10x + 22, what is the domain of f
The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x² - 10x + 22
Now, We know that;
Domain of a function is defined as a set of value for which the value of function is real and defined.
Here, There is no points for x where the function f(x) is non defined.
Hence, Whole number line is the domain for the given function.
So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
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Owen follows the rule "divide by 2" to write the pattern below . He will write two more numbers to complete the pattern. Which statement is true? 800,400,200,100,_____
Answer:
50,25
Step-by-step explanation:
you continue to divide by 2 so 100/2 is 50 then 50/2 is 25
Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten
Answer:Three times the difference of x and seven plus ten
Step-by-step explanation:
5. Gaylen works 40 hours every week during the summer and makes $11.50 an hour. In
addition, he earns about $500 selling fireworks on the Fourth of July. How much did he
make during a 12 week period in the summer?
Das Istre
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mooni patololes 791)
Write an equation of the line that passes through
the given point and has the given slope.
(1/2,4),m = -8
Answer:
The answer is
y = - 8x + 8Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y _{1} = m(x - x _1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is
(1/2,4) and slope m = -8
The equation of the line is
[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]
We have the final answer as
y = - 8x + 8Hope this helps you
(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Here is your answer
x = 17.5
Make as brainliest plzz....
Hope this answer is helpful....
I need help with this- I've never seen a graph like this- haha
Answer:
I think it's the third answer.
Step-by-step explanation:
The line is going through those points.
I WILL GIVE YOU BRAINLIEST,5 STARS, AND THANKS.(P.S. AT LEAST TWO PEOPLE GIVE ANSWER SO I CAN GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
the other options have a common difference
Answer:
A is not arithmetic series
Step-by-step explanation:
In B,C and D there is arithmetic series as a2-a1=a3-a2
In A. there is no such series.....
How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?
Answer:
2 places after the decimal point.
Step-by-step explanation:
Answer:
2 places after the decimal point
Step-by-step explanation:
[tex]\frac{1}{100}[/tex] =0.01
Hav a nice day
Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
Answer:
1000 calories
Step-by-step explanation:
2000-(1400-400)
Answer:
800
Step-by-step explanation:
2000−1200
=2000−1200
=2000+−1200
=800
are the expressions (x + 7) (x - 3) and (x + 7) equivalent expressions? explain
Answer:
No
Step-by-step explanation:
(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.
Answer:
no
Step-by-step explanation:
just to make you clear...
to check if two terms or expression are equivalent or equal
just divide them and if quotient is 1 then they are equal
but in this case.their quotient will be (x-3)
o the
What is the x-coordinate of the point plotted below?
Answer:
The x coordinate is 2
Step-by-step explanation:
Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)
The x-coordinate of the point plotted is (2, 0)
What is Coordinate Geometry?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
We need to find the x-coordinate of the point plotted in the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.
The point is at 2 on x axis and y value will be zero
(2, 0) is the x coordinate of the given point
Hence, the x-coordinate of the point plotted is (2, 0)
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Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work. I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t. What was Mara’s error?
Answer: Maria did not divide correctly
Step-by-step explanation:
Answer:
Maria did not divide correctly
Step-by-step explanation:
There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?
can u plzz explain me the question
Answer:
5/10, or 1/2
Step-by-step explanation:
If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.
3/10+2/10=5/10
10/10-5/10=5/10
Simplified: 1/2
14- =5+4
SECOND GRADE MATH HELP PLS
Answer:
5
Step-by-step explanation:
14, 13, 12, 11, 10, 9.
5+4 = 9
Answer:
5
Step-by-step explanation:
You're given 14 - [something] = 5 + 4.
You can start out by making sure you understand what you see.
If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?
And you can figure out that 5 + 4 = 9.
So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:
14 - [something] = 9
Now you can just think about this. Fourteen minus what equals 9?
You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.
Or, you can also think like this:
You know that 10 is just one more than 9.
14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!
If the square root of a number is equal to twice the same number what is the number?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
let the number be x , then
[tex]\sqrt{x}[/tex] = 2x ( square both sides )
x = (2x)² = 4x² ( subtract x from both sides )
4x² - x = 0 ( factor out x from each term )
x(4x - 1) = 0
Equate each factor to zero and solve for x
x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]
As a check
[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Write a recursive formula for the sequence.
11, 7, 3, -1, ...
Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term [tex]a_{1} =11[/tex]
second term [tex]a_{2}=7[/tex]
Common difference = 7-11 = -4
Third term [tex]a_{3}=3[/tex]
Common difference = 3-7 =- 4
Fourth term [tex]a_{4}=-1[/tex]
Common difference = -1-3= -4
Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]
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please helppppppppppppppppppppppppppp
Answer:
Each friend will need to contribute $20
Step-by-step explanation:
For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:
Cost per friend = Total cost / # of friends
We are given that the Total cost is $100 and that there are 5 friends. So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):
Cost per friend = Total cost / # of friends
Cost per friend = $100 / 5
Cost per friend = $20
Hence, each friend will need to contribute $20.
Cheers.
PLS HELP
what would be an appropriate level for the dependent variable on this graph?
Answer:
Y-axis = scoops sold
X-axis = month
Which of the tables represents a function? (4 points)
Please help i’m having a really hard time
Answer:
table A
Step-by-step explanation:
side note: if the outputs have the same numbers there not a function
Increase £36.00 by 10%
Answer:
3.6
Step-by-step explanation:
10% = .10
36 * .10 = 3.6
x/10 + y/1000 = 1
Can you please rewrite this in slope-intercept form
Please help !!!
Answer:
Slope-int form: y = mx + b
x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000
Step-by-step explanation: