The expression equivalent to the given expression is [tex]\frac{4}{x-9}[/tex]
Rational expressionsThis are expressions written as a ratio of two expressions. Given the rational expression
[tex]f(x) = \frac{4(x-2)}{(x-2)(x-9)}[/tex]
Since (x-2) is common in both numerator and denominator, they wil cancel out to have the function below;
[tex]f(x) = \frac{4(x-2)}{(x-2)(x-9)}=\frac{4}{x-9}[/tex]
Hence the expression equivalent to the given expression is [tex]\frac{4}{x-9}[/tex]
Learn more on rational function here: https://brainly.com/question/1851758
#SPJ1
Luna measured the elementary school and made a scale drawing. The schoolyard, which is 175 meters long in real life, is 25 centimeters long in the drawing. What scale did Luna use for the drawing?
Answer:
1 cm : 7 m
Step-by-step explanation:
25 cm : 175 m simplifies to 1 cm : 7 m
A car dealership sold 232 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answer:
58 cars
Step-by-step explanation:
232 divided by 4 = 58
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
b.This is not a polynomial. There are no turning points as the curve represents an odd function.
c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.
d.This is not a polynomial. There are no turning points as the curve is always increasing.
Using function concepts, it is found that the correct option is given by:
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
What is the least degree possible of a polynomial?Supposing a polynomial with n turning points, the least possible degree is of n + 1.
In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
simplify the following expression. (-3b+5)-(8b-3)
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !
i need the awnsers to this asap
Answer:
27.2 I believe
Step-by-step explanation:
Theren is a pattern in the numbers, the dollar is going up by 2 while the cents are going down by 2, if you follow the pattern till you get to 15 in pounds, the you'll get 27.2
52. What is the 275th digit after the decimal point in the
repeating decimal 0.6295 ?
F. 0
G. 2
H. 5
J. 6
K. 9
The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
What is decimal?Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.
It is given that [tex]0.6295[/tex] is a repeating decimal.
i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,
So, divide [tex]275[/tex] by [tex]4[/tex],
We get,
[tex]=\frac{275}{4}[/tex]
We get, [tex]68[/tex] and [tex]3[/tex] as remainder.
So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.
i.e. [tex]275th[/tex] number will be [tex]9[/tex].
Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
To know more about Decimal click here
https://brainly.com/question/548650
#SPJ2
a
- A glass display box has a surface area of
378 square inches. How many square
OT
inches of glass are used to create a glass
display box with dimensions that are one-
bovom
half those of the original? (Example 1)
SVRUSU
Answer:
94.5 in²Step-by-step explanation:
Given
Area of glass display box is 378 in²The scale factor is 1/2We know that the area is the function of two dimensions
To find the surface area of the display box we need to multiply the surface area of the original by the square of the scale factor
A = (1/2)²*378 = 378/4 = 94.5 in²What is the Exponential or Logarithmic function?
Answer:
Uhm..drugs-
Step-by-step explanation:
I need the answer asap!!!!
Which expression is equivalent to 6x+ 8?
2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)
You have three consecutive even
numbers so that the sum of twice
the smallest number plus three times
the middle number is four times the
largest number. Find the three numbers.
Harry charges $4 to babysit for the first hour. For each additional hour, he charges
50% more than he did for the previous hour. How much money in total would Harry
earn for 4 hours of babysitting?
Please help me quick i will mark you as brainliest when i get the chance or if possible
Harry would earn total money equal to $32.50 babysitting.
Since Harry charges 50% more for each additional hour as he did for the previous hour, then
he charges 1.5 or 3/2 times as much as he did for the previous hour.
What is the charge?Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.
Harry charges $4 for the first hour.
Harry then charges
3/2 × $4 = $6 for the second hour.
Harry then charges 3
3/2 × $6 = $9 for the third hour.
Harry then charges 3
3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.
Therefore, for 4 hours of babysitting
Harry would earn $4 + $6 + $9 + $13.50 = $32.50.
To learn more about the charge visit:
https://brainly.com/question/25922783
#SPJ1
Need the answer for this
Answer:
Just B and C
Step-by-step explanation:
Not A as cost is always increasing with x.
Yes B as is x squared relationship
Yes C as 15*9 = 135
No D as it is a squared relationship so much more than double
Not E as the the cost increases by a different amount for each increase in x.
what’s the area and the perimeter and of the triangle?
Answer:
42.9
Step-by-step explanation:
8.25x 5.2
Triange formula = b x h
Hey can someone please help me with this question. Im having a hard time with them.
Answer:
B
Step-by-step explanation:
The event of a baby boom would cause a huge growth in the population whilst the other options would create ethical and financial issues with having many children.
12-1/2(x-3)=1/4(2x+1)-10
Answer: x=23.25
Step-by-step explanation:
12-1/2(x-3)=1/4(2x+1)-10
4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4
48-2(x-3)=(2x+1)-40
48-2x+6=2x+1-40
48+6+40-1=2x+2x
93=4x
x=23.25
The surface area of a sphere is 320 square centimeters. what is the radius of the sphere?
Answer:
r
≈
5.05cm
r
=
1
2
A
π
A
Surface area
cm²
r
d
Unit Conversion:
A
=
320cm²
Using the formula
A
=
4
π
r
2
Solving for
r
r
=
1
2
A
π
=
1
2
·
320
π
≈
5.04627cm
Step-by-step explanation:
Answer:
the answer is 5.05
Step-by-step explanation:
I hope it helps you
Will give brainliest look at pitcure
Answer:
x = 15
Step-by-step explanation:
angle FoH = 360° - 90° - 90° - angle G
= 180° - 75°
= 105°
17x° = 360° - angle FoH
17x° = 360° - 105°
17x° = 255°
x = 255 ÷ 17
x = 15
HOPE THIS HELPS AND HAVE A NICE DAY <3
The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.
Answer:
Complete the sentence.
is 8 times as much as 10.
Step-by-step explanation:
you have to divide it by the length
Divide 4,671 divided by8
Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
Please help!!!!!!!!!!
Answer:
See below
Step-by-step explanation:
x = the number
-1/6 x < -9 multiply both sides by -6 (this reverses < to > )
x > 54
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]What is the exact volume of the cylinder?
Cylinder with radius labeled 4 inches and height labeled 8 inches
32π in³
64π in³
128π in³
512π in³
Classify the polynomial by the number of
terms.
5x2 + 3x – 8
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
trinomial
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
If a polynomial has one term , it's a monomial .
If a polynomial has two terms , it's a binomial .
If a polynomial has three terms , it's a trinomial .
If a polynomial has 4 or more terms , it's a polynomial .
Since the given polynomial has three terms , it's a trinomial .
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
I don't know how to solve this please help
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74\%74%74, percent of the time.
Answer: Choice D [tex](1-0.74)^4[/tex]
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing [tex](1-0.74)^4[/tex]
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
Find the MEDIAN of the following data set.46,78,56,27,73
Answer:
56
Step-by-step explanation:
If you do need a step-by-step explanation just comment under here and I'd be happy to show you how I did it :)
Write the quadratic function in vertex form: f(x) = 8x + 2x - 5
How do I solve this?
Answer:
Step-by-step explanation:
6x + 11y = 45
9x + 9y = 45
-18x - 33y = -135
18x + 18y = 90
-15y = -45
y = 3
6x + 33 = 45
6x = 12
x = 2
frank gets a pay rise from £120 a week to £135 a week. what fraction of his original pay was his pay rise?
please help! not sure abt this answer...
Answer:
1/8
Step-by-step explanation:
135 is 15 more than 120
15 is 12.5% of 120
0.125 as a fraction is 1/8
Hope this helped!
help me pls reallly fast pls
Answer:
180 degrees.
Step-by-step explanation:
A supplementary angle is an angle which either of two angles whose sum is 180°.
No matter how big the triangle grows, the angles will stay the same degrees all throughout.
Pretty sure this is what you needed, hope this helps!
The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
