Answer:
17
Step-by-step explanation:
36-18=18
but it has to be less than 32 miles so its 17 miles.
What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)
After partial fraction decomposition the correct expression we get,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]
Hence option fourth is correct.
Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.
It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.
The given expression is,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex] [since (a-b) = a² + b² -2ab]
Simplifying we get
⇒ 12x - 25 = A(2x - 3) + B
⇒ 12x - 25 = 2Ax + (B - 3A)
Comparing the coefficients we get
2A = 12
⇒ A = 6
And B - 3A = -25
Put the value of A we get
B = -7
Hence,
After substituting the values of A and B in the given expression we get
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ4
On a field trip there are 30 kids and 6 adults. Which of the following is a correct way to represent the ratio of these two quantities?
A) 5 kids per 1 adult
B)15 kids per 4 adults
C)1 adult per 5 kids
D)2 adults per 10 kids
This is for a TEST so can u show the work
Find the volume: 5ft 5ft 8ft 3ft
Answer:
120ft
Step-by-step explanation:
8 x 3 x 5
Mr. Platt buys 5 calculators to use in his classroom and pays $44.95. Construct a model or diagram to represent this relationship. Write an equation that could be used to find the price, C, of each calculator.
Answer:
I cant really help with the diagram but the equation is
$44.95 divided by 5 = $8.99
Answer: The equation is 5c = 44.95
Step-by-step explanation:
The equation is 5c = 44.95, when c is the price of each calculator.
Can someone please help me pleaseeee!
Answer:
y=-1.7x+8
Step-by-step explanation:
An equation of a line is y=mx+c
m is the gradient and c is the y intercept, which is where the line intercepts y.
you work out m getting two points and then subtracting y - y ÷ x - x
So in this graph, if we chose points (6,-2) and (3,3) then we would do this equation.
[tex] \frac{3 - - 2}{3 - 6} = \frac{5}{ - 3} = - 1.7[/tex]
So m = -1.7
c = 8 because it goes through 8 in y.
So the equation is y=-1.7x+8
Which equation represents a proportional relationship?
Answer:
B, for every y there are 150 x's
please help 13 points
Answer:
.
Step-by-step explanation:
1. Write a formula to represent the
nth term of the sequence: arithmetic
6, 11, 16, 21...
Find the 21st term of the sequence:
Answer:
5n + 1
5(21) + 1
105 + 1
106
21st term is 106
On her lunch break, Audrey grabs a meal with her two coworkers. If everyone paid an equal amount of $8.50, then how much was the total bill?
Answer:
$25.50
Step-by-step explanation:
3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways
Method 1
$8.50 x 3 = $25.50
Method 2
$8.50 + $8.50 + $8.50 = $25.50
Marvin has 2 rabbits. The number of rabbits triples
every year. Marvin needs 100 pounds of food to feed
one rabbit per year. How many pounds of food will
Marvin need to feed his rabbits during the third year?
Select one:
o
900
O
1200
600
1800
Answer:
1800
Step-by-step explanation:
Answer:
1800 pounds
Step-by-step explanation:
1st year: 2 rabbits
2nd year: 6 rabbits
3rd year: 18 rabbits
18 x 100 = 1800
hope this helps :)
If you are given x2 + 15x + 9, what does the expression equal if x=2
Answer:
43
Step-by-step explanation:
2(2) + 15(2)+ 9 = 43
Answer:
43
Step-by-step explanation:
2 x 2 = 4
4 + (15 x 2) = 34
34 + 9 = 43
i also need this asap
Answer:
x=180-(67+52)
Step-by-step explanation:
a linear pair is 180
we are already have two angles add them together
subtract that from 180 and you will get the last angle
Alexis bought 4 cupcakes that cost $1.05 each. She paid with a five dollar bill. How much change did Alexis receive?
Answer:
Ans (change recieved) = $0.80
Step-by-step explanation:
because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.
in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes
$5.00 - $4.20 = $ 0.80
Can someone explain?
Answer: The answer would be e
First find where the line intercepts on the y axis, then find the slope of the line by looking at how much the line goes up from each point. In this case, the line goes up by 2 and across by 1, so your slope will be 2/1 which is 2. (If the line went down, the slope would be -2/1 which is -2) Then you can plug in the numbers for the equation for y-intercept form y=mx+b which gives you y=2x+2
Hope this helps!
can someone plz help me
Answer:
d = 6.3 units
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-8, 6) and (-6, 0)
d=√((-6-(-8))²+(0-6)²)
d=√((-6+8))²+(-6))²)
d=√((2)²+ 36)
d = √40
d = 6.32...
d = 6.3
What does "y-> - «" mean?
Answer:
y approaches negative infinty
Billy wants to find out which cafeteria food is the favorite in his school for students. He surveys 100 students. 29 students select sub sandwiches, 35 select steak and gravy, and 36 select fried chicken. if you select one of these students. What is the probability it will be a student who prefers chicken
Answer choices
A. 7/20
B. 9/25
C. 40%
D.29/100
Answer:
36% or 9/25
Step-by-step explanation:
35+36+29=100 so 100-35-29=64 and 36 are left so you divide 9/25 and you get 0.36 and you put it into a percentage and the answer is 36% or 9/25.
The probability it will be a student who prefers chicken is, 36/100.
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
Given that,
He surveys 100 students,
29 students select sub sandwiches,
35 select steak and gravy,
and 36 select fried chicken
The probability of selecting a student who prefers fried chicken can be found by dividing the number of students who prefer chicken by the total number of students surveyed:
36/100 = 36%.
This can also be expressed as a decimal or a percentage:
0.36 or 36%.
To know more about Probability check:
https://brainly.com/question/30034780
#SPJ6
Help me solve this problem please
Answer:
if you can try to go on your phone and then theres a app that lets you take a picture then it will answe it
Step-by-step explanation:
how many significant digits in 8.90
Answer:
2
Step-by-step explanation:
Answer:
Only 2, the 0 is not needed so it should just be 8.9
Step-by-step explanation:
What is the area? square kilometers
Answer:
Step-by-step explanation:
The area of a trapezoid is the height times the average of its parallel bases.
A=h(b1+b2)/2, in this case
A=14(4.6+8.7)/2
A=7(4.6+8.7)
A=7(13.3)
A=93.1 km^2
A girl weight increased by 12% between her tenth and four teen birthdays . If she weighed 45kg on her tenth birthday. What did she weigh on her fourteenth birthday
1. Use the mental math strategy of rounding (for example +1/-1, +2/- 2, +10/-10, or +20/-20) to add the following numbers. Write down how you would change the numbers in your head for each question.
Ex. 27 + 51 28+50=78
a. 41 + 16=
b. 79 + 14=
c 580 + 355=
d. 174 + 620=
e. 378 + 210=
a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?
Answer:
6 in.
Step-by-step explanation:
Rectangular prism
V = lwh l = 8 W = 3 h = 9
= 8(3)(9)
= 216
Cube
[tex]V = s^{3}[/tex] where s = length of side
216 = [tex]s^{3}[/tex]
[tex]s = \sqrt[3]{216}[/tex] = 6
geometry, can u help????
Please help
The perimeter of a quadrilateral is 336.
The ratio of the sides is 2: 3: 2: 5. Find
the side lengths.
Just trying to win the CONTEST BUT GOOOOD LUCK
Answer:
56 units, 84 units, 56 units, 140 units
Step-by-step explanation:
Since you have the ratios, you can multiply each by x, because you do not know the actual values.
2x+3x+2x+5x=336
12x=336
÷12 ÷12
x=28
Then, plug in the values of x.
So 2*28= 56
3*28=84
2*28=56
5*28=140
Can someone help me on this?? 10 points to whoever helps.
Answer:
whats the question?
Step-by-step explanation:
PLZ HELP ME WITH 6 * 5/6 THANKS
Answer:
5
Step-by-step explanation:
5/6 x 6 = 30/6
Basically just multiply the numerator and whole number to get the new numerator. Put that on top of the denominator and then convert it to the simplest fraction (if necessary).
Solve x2 - 10 = 0. If necessary, round to the nearest hundredth.
9514 1404 393
Answer:
3.16 or -3.16
Step-by-step explanation:
Add 10 and take the square root.
x^2 = 10
x = ±√10 ≈ ±3.16
x is 3.16 or -3.16
Help ASAP PLEASEEE ILL GIVE BRAINLIEST
Answer:
3/18 = 6/ DG
Step-by-step explanation:
9. Madeline and Jonathan want to purchase a home in six years. They will contribute $540 every six months to a savings account with 5.25% Interest, compounded quarterly. What is the future
value of this Investment, when Madeline and Jonathan need to make a down payment? (4 points)
O $7,559.06
O $15,118.11
$7,502.45
$7,658.27