Which rules define the function graphed below?
Answers
Answer:
a
Step-by-step explanation:
Answer:
it's A or y=2x+3; y= -1/3x+3
Related Questions
Which equation represents the polar form of x2 + (y + 4)2 = 16?
A painter can finish painting a house in 3 hour
There were 84 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 1/3 of the remaining runners dropped out. How many runners finished the race?
Rewrite the function by completing the square.f(x) = x^2 – 10x—96
Answers
Answer:
11,960,000 populations.
Step-by-step explanation:
Population of California at year 2005 = 36.8 million
If the population is growing at annual rate of 1.3%, then yearly increment will be:
1.3% of 36.8 million
= 1.3% of 36,800,000
= 1.3/100 * 36,800,000
= 1.3 * 368,000
= 478,400
The number of yeas between 2005 and 2030 is 25years
The population increase between 2005 and 2030 will be 25 * 478,400
= 11,960,000
Hence the population would have increased by 11,960,000 populations between 2005 and 2030
Final answer:
Using the compound interest formula commonly used in mathematics, the population of California is expected to increase by approximately 13.04 million between 2005 and 2030, assuming an annual growth rate of 1.3%.
Explanation:
The problem here is related to compound interest in mathematics. Here, the population of California is growing annually at a rate of 1.3%, which means it's compounding, much like interest in a bank. To calculate the growth in population from 2005 to 2030, or 25 years, we can use the formula for compound interest which is P(1 + r/n)^(nt), where P is the initial population, r is the annual growth rate, n is the number of times the population grows per year, and t is the time in years.
In this case, P is 36.8 million, r is 1.3% or 0.013, n is 1 (since the population grows once a year), and t is 25 (the number of years from 2005 to 2030). If we plug these values into the formula, we get: 36.8(1 + 0.013/1)^(1*25).
This simplifies to a population of approximately 49.84 million in 2030. Therefore, the population increase over those 25 years is: 49.84 million - 36.8 million = 13.04 million.
Learn more about Compound Interest here:
#SPJ3
Answers
Answer:
each ice coffee is $2.25
Step-by-step explanation:
13.50 - 9 = 4.50
4.50 / 2 = 2.25
Answers
Answer: 9990
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Explanation:
Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9
- 9999/3 = 3333
- 9999/6 = 1666.5
- 9999/9 = 1111
When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.
------------------------
Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)
So we go from 9999 to 9990
Repeat the last set of steps we did earlier
- 9990/3 = 3330
- 9990/6 = 1665
- 9990/9 = 1110
Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.
Answers
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Answers
Answer:
y = -2x + 5
slope = -2
y intercept = 5
Step-by-step explanation:
Slope intercept form of equation of line is given by y = mx + c
where m is the slope of line
c is the y intercept i.e point where given line intersect y axis.
________________________________________________
given equation 4x + 2y = 10
we have to re-write this equation in form y = mx + c
4x + 2y = 10
subtraction 4x from LHS and RHS
4x + 2y - 4x= 10 - 4x
2y = 10- 4x
we have to eliminate 2 from y for that we
divide LHS and RHS by 2 we
2y /2 = 10/2- 4x/2
y = 5 - 2x
rearranging it in y = mx+c form
y = -2x + 5
thus, m = -2 , c = 5
Answers
Answer:
NO. It does not represent y is a function of x.
Step-by-step explanation:
For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.
Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.