The function with a rate of change of 3/2 whose graph passes through the point (4,10.5)
Answers
Answer:
The function is f(x) = x +
Step-by-step explanation:
The point-slope form of a linear function is , where
- m is the slope of the graph (rate of change)
- (
,
) is a point on the line (the line passes through it)
∵ The function has a rate of change
- The rate of change is the slope of the graph
∴ m =
∵ The graph is passes through point (4 , 10.5)
∴ = 4 and
= 10.5
Substitute m and the coordinates of the point in the form of the equation
∵
∴ y - 10.5 = (x - 4)
Simplify the right hand side
∴ y - 10.5 = (x) -
(4)
∴ y - 10.5 = x - 6
Add 10.5 to both sides
∴ y = x + 4.5
∵ 4.5 =
∴ y = x +
∵ y = f(x)
∴ f(x) = x +
The function is f(x) = x +
Related Questions
The table shows ordered pairs of the function y=8-2x, when x=8,the value of y is
Is this proportional or non proportional ???
Leonardo makes the following purchases at the store:1 backpack for $16.89 5 spiral notebooks for $1.19 each 1 pack of mechanical pencils for $3.68 2 packs of lead refills for $1.88 each Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. The coupons are applied after tax and the sales tax is 5% of the purchase. If Leonardo paid $30.89 , then he _____ for his purchase. a. did not pay enough b. paid the correct amount c. paid $0.04 too much d. paid $0.57 too much
Find the inverse of f(x)=(x-1)^3
Answers
Answer:
3
Step-by-step explanation:
2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.
Answer:
X=3
Step-by-step explanation:
Step 1: Find the square root of 64
since there is an exponent of 2 around your paranthesis, you must get rid of that first, by finding the square root of the first part of the equation and 64. then you will have (2x+2)=8
Step 2: Subtract 2
next subtract 2 from both sides of the equation, and you will have 2x=6
Step 3: divide by 2
lastly, divide each side by 2. you will get x=3
Answers
x% of 75.5 is 81.54
x% * 75.5 = 81.54
x/100 * 75.5 = 81.54
x = 81.54 * 100 / 75.5
x = 108%
Result: 108% of 75.5 is 81.54.
The number 81.54 is 107.99% percentage of 75.5
We have,
To find what percent of 75.5 is 81.54, we can use the following formula:
(81.54 / 75.5) * 100
Step 1: Divide 81.54 by 75.5:
81.54 / 75.5 ≈ 1.0799
Step 2: Multiply the result by 100 to convert it to a percentage:
1.0799 * 100 ≈ 107.99
Therefore, 81.54 is approximately 107.99% of 75.5.
To explain it further, if we consider 75.5 as the whole or 100%, then 81.54 is approximately 107.99% of that whole value.
Thus,
In other words, 81.54 represents about 107.99% of 75.5.
Learn more about percentages here:
#SPJ6
Answers
Answers
Lets solve this questions in steps..
Step 1 - we need to know that how many weeks are there in 1 year
so, there are 52.17 weeks but the round figure is 52 weeks.
Step 2 - we know that shawn worked 40 hours a week
So, in order to get total hour worked by him in one year, we need to multiply 52 * 40
i.e. 52 *40 = 2080
Step 3 - Now, we have total hours we can simply divide the total hour worked with how much he earned last year
i.e. 23,920 / 2080
= $11.5 per hour.
Hope this helped you.. :)
Answer:
11.50
Step-by-step explanation:
A.
25%
B.
50%
C.
400%
Answers
Answer:
0.2
Step-by-step explanation:
Answers
Part B- x is greater than or equal to 13
9. 0 is the answer
10. J=5 and draw a line going right from the number 2 with a filled in circle