The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.
What is rational function ?
A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = [tex]\frac{x}{x - 2}[/tex].
Rational functions are typically identified by the degrees of the numerator and denominator. For example, a quadratic for the numerator and a cubic for the denominator is identified as a quadratic/cubic rational function. A rational function model is a generalization of the polynomial model.
The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.
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Gerald deposited $950 into two different accounts.
- He deposited $450 into an account that pays 4.5% interest compounded annually.
- He deposited $500 into an account that pays 4.25% simple interest.
If Gerald does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the amount of interest he will have earned in these accounts at the end of 4 years?
A. $1,121.63
B.$177.20
C.$171.63
D.$1,116.00
Answer:
C
Step-by-step explanation:
The interest is 166.52.
If j is 7 times larger than 6 what is j
Answer:
42
Step-by-step explanation:
6 x 7 = 42
look at picture attack
Answer:
its 6.1
Step-by-step explanation:
so we use this formula to find it 950=4/3×3.14×r^3
Answer:
b. Radius is 6.1cm.
Step-by-step explanation:
R=(3xV/4π)^⅓
R=(3x950/4π)^⅓≈6.09834
R= 6.1cm
Determine the intercepts of the line
Answer:
x-intercept (3;3)
y-intercept (0;-10)
find the inverse y=-1+1/5x pleaseee help
Answer:
there is no inverse
Step-by-step explanation:
to find the inverse you gotta interchange the variables and solve for y but it is 0 sooo there is no inverse, i believe.
What is the solution to the system below? x + 5y = 4
x - 5y = -16
(6,-2)
(2,-6)
(-6,2)
(-2,6)
Answer:
(-6,2) third option is correct
Step-by-step explanation:
x+5y=4 equation1
x-5y=-16 equation 2
by adding both equations we got
2x=-12
x=-6
now put x=-6 in any of the equation to get y...
-6+5y=4 equation 1
5y=4+6
5y=10
y=10/5
y=2
(-6,2)
Answer:
(-6, 2)
Step-by-step explanation:
Put (-6, 2) into eq1 and eq2
1. (-6) +5(2)= -6 +10 =4
2.(-6) - 5(2)= -6-10 = -16
only one that works is (-6, 2)
Help me please answer thanks
Answer:
8, 2
Step-by-step explanation:
8 * 2 = 16
8 + 2 = 10
Tim washed 15 cars in 3hours.how many cars can he wash In 7 hours?
Answer:
35 cars
Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars
Answer:
I believe the answer is 35.
Step-by-step explanation:
15+15=30
30+5=45
1 hour = 5 cars
3 hours = 15 cars
6 hours = 30 cars
7 hours = 35 cars
15 divided by 3 = 1
so yeah hope this helps you.
A sheet of paper has a perimeter of 39 inches. If the width of the paper is 8.5
inches, what is the length of the sheet of paper?
Answer:
length of the sheet of paper is 11 in.
Step-by-step explanation:
Let "a" = short end of paper and let "b" = long end of paper.
Let "p" = perimeter
1st equation: p = 39"
2nd equation: 2a + 2b = p plug in "39" for diameter; result:
2nd equation: 2a + 2b = 39
3rd equation: b = 2a - 6
replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:
2a + 2(2a - 6) = 39 simplified to:
2a + 4a - 12 = 39 simplified to:
6a - 12 = 39 simplified to:
6a = 51 simplified to:
a = 51/6 = 8.5
so, a = short end of paper = 8.5 inches
In 3rd equation (b = 2a - 6), substitute "a" with "8.5"
3rd equation becomes: b = 2(8.5) - 6 simplified to:
b = 17 - 6 = 11
so, b = long end of paper = 11 inches
answer to question is: dimensions of paper are ---
8.5 inches wide by 11 inches long
Answer:
The answer is 11
Step-by-step explanation:
So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.
Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)
Answer:
ZGK and DGS
Step-by-step explanation:
20*20= 75 True or False
Answer:
False
Step-by-step explanation:
LHS : -
20 x 20
= 400
is not equal to RHS.
Help Me! Will give brainliest. Hurry UP!
11-2m-[n+5+-m-3n+8
Simplify!
Awnsers:
m - 2n - 2
-m + 2n - 2
-3m - 4n + 14
3m - 4n + 14
Step-by-step explanation:
11-5-8-2m+m-n+3n
= -2-m+2n Answer
just change in order otherwise answer is correct you can correct....
im highly confused /////
find the rate of change on the table
Answer:
51
Step-by-step explanation:
The price of television is P15,000 less than the twice the price of old model.If it cost P29,078.00 to buy a new television.What is the price of the old model?
Answer:
P22039
Step-by-step explanation:
Cost of new television = 29078
Let the price of old model television = x
2x - 15000 = 29078
2x = 29078 + 15000
2x = 44078
2x/2 = 44078 /2
x = 22039
Hence, price of old model television is P22039
Which of the following number cannot represent the 3 sides of a triangle?
{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
d 5,16,21 Am sure I think
Step-by-step explanation:
Answer:
{5,16,21}
Step-by-step explanation:
sides of triangle: the sum of every two sides must be greater than the third sides.
{14,28,39}
=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14 (correct)
{4,16,19}
=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)
{4,11,13}
=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)
{5,16,21}
5 + 16 not > 21 (wrong)
Help asap, need help on this math problem. Solve for x
Answer:
c. 25
Step-by-step explanation:
According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.
Thus:
3*x = 5*15
3x = 75
x = 75/3
x = 25
Evaluate 6ab when a=1/2
and b = 7.
Answer:
21
Step-by-step explanation:
6 x 1/2 = 3
3 x 7 = 21
help ! do you know the answer to this?
Answer:
Step-by-step explanation:
9t = 9 We can't see the entire image, but I assume 9 and the number of ts are of the same length. If this assumption is incorrect, please leave a note.
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answer:
c b
Step-by-step explanation:
khan
hello please help thanks
Answer: Its C. Its a gas because it evaporated.
Step-by-step explanation:
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
Bob has two bags of coins.
The first bag has 3 nickels and 5
quarters. The second bag has 6
nickels and 2 quarters. Bob will
randomly select 1 coin from each
bag. What is the probability that
Bob will select a quarter from
each bag?
PLEASE HELP MEEEE
Answer: 40%
Step-by-step explanation: Get nae naed
Which equations are correct? Select each correct answer.
6a5(6a5)=36a25
6b4(−3b4)=−18b8
5x4(4x2)=20x6
3z7(4z2)=12z9
Answer:
2, 3, 4,
Step-by-step explanation:
I took the k12 quiz and i remeber putting these as my answer.
Hope this helps!
match each division expression with the correct quotient
Answer:
2) 2x + 6
3) 8x - 2
4) 5x - 8
Step-by-step explanation:
The quotient of expression (18x²+15x) divided by 3x is 6x+5.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
A quotient is a quantity produced by the division of two expressions.
Here,
A) (18x²+15x)÷3x
Now, 3x(6x+5)/3x
= 6x+5
B) (16x²+48x)/8x
= 8x(2x+6)8x
= (2x+6)
C) (56x²-14x)/7x
= 7x(8x-2)/7x
= 8x-2
D) (20x²-32x)/4x
= 4x(5x-8)/4x
= 5x-8
Therefore, the quotient of expression (20x²-32x) divided by 4x is 5x-8.
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PLSS HELP!! NO LINKS!!
The graph below represents results of a survey in which students stated the number
of minutes they'd spent watching TV the previous day.
What was the least amount of time a student in this class could have spent watching tv that day?
The required least amount of time a student in the class could have spent watching tv that day is 0-29 minutes
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
in the bar graph, represents the results of a survey in which students stated the number of minutes they'd spent watching TV the previous day.
The least amount of time is shown by the first bar and which is 0-29 minutes.
Thus, the required least amount of time a student in the class could have spent watching tv that day is 0-29 minutes
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HELP MEEEEEEEEEEEEEEEEEE
Help please not sure what it can be!
Answer:
y=40x-30
Step-by-step explanation:
what is the best interpretation of the y intercept of the line . question 5
Answer:
Last one
A student‘s test score is likely to increase about 20 points for each hour of studying
Step-by-step explanation:
We can see that the indepedent value is hours spent studying and dependent value is test scores.
As the hours of studying get greater, so does the test scores. So it has to be either the second to last or last one.
If you pay attention to the numbers, you’d see that the last one would be the answer.
Answer:
last one
Step-by-step explanation:
each hour spent studying increases the by around 20 points. the slope of the line is 20.
btw there's nothing on the intercept in the question
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.