Answer:
the domain of f(x) is set of all real numbers except 3/2
Step-by-step explanation:
Since the denominator cannot equal 0, 2x - 3 ≠ 0
2x ≠ 3
x ≠ 3/2
Any real number can replace x in the numerator.
So, the domain of f(x) is all real numbers except 3/2
The domain of the given function is required.
The domain is (-∞,3/2),(3/2,∞)
Domain of a functionThe given function is [tex]f(x)=\dfrac{x-5}{2x-3}[/tex]
The domain of a function are the values of x for which the given function is defined.
The function is undefined when [tex]x=\dfrac{3}{2}[/tex]
[tex]f(3/2)=\dfrac{\dfrac{3}{2}-5}{2\times \dfrac{3}{2}-3}=\infty[/tex]
So, [tex]x\neq \dfrac{3}{2}[/tex]
The domain is [tex]\left(-\infty,\dfrac{3}{2}\right),\left(\dfrac{3}{2},\infty\right)[/tex]
Learn more about domain of a function:
https://brainly.com/question/1942755
pls help asap thx alot
Find the missing angle
Answer:
v = 60
Step-by-step explanation:
65 + 55 + v = 180
65 + 55 = 120
180 - 120 = 60
v = 60
show all your work?
and please help me out ASAP!!
Answer:
EF = 36
Step-by-step explanation:
On a rhombus, all sides are equal because its a parallelogram so,
EF = FG
we first have to find what x equals so . . .
let's plug in the numbers
4x - 20 = 2x + 8
Now we combine like terms
we add 20 to both sides
so now it would be
4x = 2x +28
Now we subtract 2x from both sides because we want x by itself
this would equal
2x = 28
now we divide two from both sides this equals
x = 14
now we insert the numbers in the equation
4 x 14 - 20 = 36
if you have any questions feel free to ask - Mark
Find the equation of the straight line which passes through each of the following pairs of points.
(0,-4) (3,-1)
Answer:
i belive the awnser is 0.8
Step-by-step explanation:
0.4(3-1)=0.8
A drawer is 5 feet wide, 4 feet deep, and 2 feet tall. What is the amount of space available for storage inside the drawer?
Answer: 40 ft^3
Step-by-step explanation:
l*w*h to find volume of space in the drawer so
5*4=20 and 20*2= 40 so the volume is 40
Answer:
The area is 40 square feet.
Step-by-step explanation:
To find area, you multiply length x height x width. 5x4x2=40
HELP MATH ._. rbiufb3fuib3fu4
Answer:
Step-by-step explanation:
9/2 is the slope. Slope defines how steep is the straight line.
Slope = change in y ÷ change in x
In this model, 9 refers to the vertical distance between two points
and 2 refers to the horizontal distance between two points.
9/2 is a positive slope. It indicates that if 'x' increases, y also increase.
Gordon rolls a fair dice 114 times.
How many times would Gordon expect to roll a two?
Answer:
19!
Step-by-step explanation:
Probability of getting "2" in 1 roll = 1/6
No: of times played = 114
Times expect to roll a "2" in 114 times = 1/6 x 114 = 19
I hope im right!!
Write an equation to find the area of each figure.Then determine the area.Use 3 for pi.
48 calculated on my calculator and i worked it out irl your welcome
y=-2x
x+y=3
What is the value of x?
Step-by-step explanation:
x+y=3
y=2x
x+2x=3
x=3-2x
it's your required answer
Answer:
x = -3
If you need to find the value of y than substitute x=-3 into equation (1) .
( 11x + 21 )°
X = ?
Find X
Answer:
THE ANSWER IS........ I LOVE YOU!
Step-by-step explanation:
WHY: choose you every day, and I'm so lucky you choose me, too. You're my first thought every morning and my last thought before I go to sleep. You inspire a love in me that I never knew was possible
Can somebody help me with the top problem pls
What are three transition words that go against an argument?
A) But
B) Conversely
C) On the other hand
D) Finally
E) Additionally
Answer:
A) But
B) Conversely
C) On the other hand
Staci has 7 more cats than Taylor. Write an expression using x to represent how many cats Taylor has
explain to them the process for combining integers. Helps pls 15 point
If a= 2ft and c= 11ft. Find the missing side of the right triangle
Answer:
[tex]\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
The formula for finding the any side of the triangle is
[tex]a^{2}+b^{2} =c^{2}[/tex]
We know that a=2 and c=11, so we can go ahead and plug those into the formula.
[tex]2^{2}+b^{2} =11^{2}[/tex]
[tex]4+b^{2} =121[/tex]
To find side b, we have to make it alone on one side. Subtract 4 on both side.
[tex]b^{2} =117[/tex]
Now square root both sides, and that leaves us with:
[tex]b=\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
A bicycle has a listed price of $848.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$848.99×8.75/100
=$74.29
$848.99+$74.29
=$923.3
What is the area of the polygon in the picture.
Answer:
I got 11
Step-by-step explanation:
Answer:
12.25 cm^2
Step-by-step explanation:
Draw a segment from the bottom of the 1.5-cm vertical side to the bottom side of the entire polygon.
Now you have two rectangles.
The left rectangle has dimensions 3.5 cm by 1.5 cm.
The right rectangle has length 5 cm - 1.5 cm = 3.5 cm and width 3.5 cm - 1.5 cm = 2 cm.
The total area is the sum of the areas of the two rectangles.
area of rectangle = length * width
total area = 3.5 cm * 1.5 cm + 3.5 cm * 2 cm
total area = 5.25 cm^2 + 7 cm^2
total area = 12.25 cm^2
find the total lateral surface area of the prism below ANWSER PLEASR QUICK
Gustavo's younger brother says that 3.14 is equal to 1. Gustavo knows this can't be right,
because 3.14 is rational and a is irrational. Write an explanation that Gustavo could use to
convince the brother that 3.14 cannot be equal to pi.
Answer:
gustavo is wrong
Step-by-step explanation:
Which row of Pascal’s triangle would you use to expand (2x + 10y)15?
How many terms are in this expansion? ____ terms
Answer: 16 terms
Step-by-step explanation:
Answer:
The answer is 16 terms.
The secend part of the question is B. 2∧15x∧15
factor the following completely 6i^2−7i−3, and 2i^2−11i+14
Answer:
-7i - 9
-11i + 12
Step-by-step explanation:
i stands for imaginary number, in which i² = -1
6i² = 6 * -1 = -6
-6 - 7i - 3
Combine like terms:
-6 - 3 = -9
-7i - 9
2i^2 = 2 * -1 = -2
Combine like terms:
-11i + 14 - 2
-11i + 12
~
what is the Radical of 125?
Answer:
5√5
Step-by-step explanation:
:))))))))))))))))))
Find the amount John owes at the end of 6 years if $5500 is loaned to her at a rate of 4% compounded monthly.
The amount owed is $__________.
Answer:
10$
Step-by-step explanation:
Which graph represents the given equation?
y = 3/2x^2 + 4x – 2
Answer: B
Step-by-step explanation:
y intercept is -2
y = 3/2x^2 + 4x – 2
y = 3/2(0^2) + 4(0) – 2 = -2
and x intercepts are
0 = 3/2x^2 + 4x – 2
about
x = 0.43050087, -3.09716754
The table shows a function. Is the function linear or nonlinear?
The table shows a linear function :)
Can you help me please and thank you
Change this equation, in standard form, to slope-intercept form: 2x + 3y = 18
Answer:
y = -2/3 + 18
Step-by-step explanation:
2x + 3y = 18 ----- here is the equation...
-2x - 2x ----- bring the 2x to the other side
3y = -2x + 18 ----- now you have to divide everything by 3 to get y by itself
y = -2/3 + 18 ----- Done!
Answer:
y= -2/3x + 6
Step-by-step explanation:
Subtract 2 from both sides of the Equation:
3y=18-2x
Divide each term by 3 and simplify:
y= - 2x/3 +6
Rewrite into slop-Intercept form;
y=2/3x+6
Help me solve this please
tell whether the ordered pair is a solution of the linear system
z > 0. If x < y, and z > 0 then x × z < y × z. ..
Answer:
free points thanks
Step-by-step explanation:
Imao
Find the area of the polygon A) 96 m2 B) 192 m2 C) 208 m2 D) 224 m2