Answer:
see explanation
Step-by-step explanation:
f(x) = [tex]\frac{2x-5}{x-4}[/tex]
The denominator cannot equal zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be
x - 4 = 0 ⇒ x = 4 ← excluded value
Domain is x ∈ R , x ≠ 4
Select the circumstance when the expression (a <= b and a >= b) is true. a = −1, b = −2 a = 1, b = 1 a = 1, b = 2 a = 2, b = 1
Answer:
b = 1 a = 1
or
b = 2 a = 2
Step-by-step explanation:
Two students, Galen and Mai, worked on a project.
Galen worked for 3 2/3 hours.
Mai worked for 2 4/5 hours.
What was the total time spent on the project?
How much more time did Galen spend on the project than Mai?
Answer:
Mia worked 4/5 of an hour less than Galen.
or
Galen spent 4/5 of an hour more working on the project.
Step-by-step explanation:
First we have to find the LCM (Lowest Common Multiple) of 5 and 3 -
3: 3, 6, 9, 15, 18, 21, 24, 27, 30
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
We can see here, that the lowest common multiple is 15.
Now we need to convert the 2/3 and 4/5 into fractions that are equivalent to something fraction that has the denominator of 15.
2/3x5= 10/15
4/5x3= 12/15
So, now, the hours of work time of both Galen and Mia are having the same denominator, now, we can subtract.
3 10/15 - 2 12/15 = 12/15
Now, we understand that 12/15 was the amount of time Galen worked more than Mai. But, still, there is still more to do.
Suspense......
SIMPLIFY!!!
12/15 both come in 3's multiplication table.
12/15 divided by 3 = 4/5
Now, our final answer simplified is 4/5.
Thank You! Please Mark me Brainliest! Have a great day studying!
Increase the following amount by the percentage given
55 by 137%
Answer:
130.35
Step-by-step explanation:
https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=55&percentage_increase=137&new_value=130.35
the quantities x and y in the ratio x/y are called
Answer:
"Unit rate" is the answer po
The ratio of adults to children is 16 to 10. If there are 40 adults, how many children are there? Complete the ratio table to find the number of children.
Adults 16 8 40
Children 10
25
30
20
15
Answer:
Answer: 25
Step-by-step explanation:
Ratio: 16:10
Number of adults=40
So,
16 = 40
10 x
16(x) = 40(10) [ CROSS-MULTIPLICATION ]
16x = 400 [ TRANSPOSE 16 TO THE RIGHT }
x = 25
Step-by-step explanation:
jack divided 1,826 by to get a quotient of 18.265
Answer:
its 100
Step-by-step explanation:
HOW DO YOU EQUAL THIS 12?? IVE TRIED EVERYTHING PLEASE EXPLAIN!!!!
Answer:
green= 7
purple=5
Step-by-step explanation:
we already know the trapezoid is 5 so 12-5=7
then since we know the green cresent is seven do 12- 7= purple = 5
Hope this helps
What are the three trigonometric reciprocals of sine, cosine, and tangent?
Answer:
Secant, cosecant and cotangent.
Step-by-step explanation:
Step-by-step explanation:
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).
Savvas Slope intercept graph
Answer:
Wheres the graph/question?
Step-by-step explanation:
The Antonov Cargo Aircraft weighs 5,830,000 pounds. How is this number written in scientific notation?
Answer:
5.83 × 10^6
Step-by-step explanation:
I am the smartest boi.
What is the next term in the sequence 4, -12, 36?
a. -42 b. -54
Which term in the sequence -2, -5, -8, -
a. 9th term b. 10th term
What are the first three terms of the sequence whose general term is an = 2n+1?
a. 3, 5, 7 b. 4, 6, 8 c. 5, 6, 7 d. 6, 8, 10 Find the general term of the sequence -10, -20, -30, -
a.an =-10n b.an =10n c.an =n 10 d.an =10-n
An online seller sold 89 face shields on the first day, 76 face shields on the second day and 63 face shields on the third day and so on. If this pattern continues, how many face shields will be sold on an nth day?
a.an=102-13n b.an=102+13n c.an=100+13n d.an=100-13n
c. -72 d. -108 -32?
c. 11th term d. 12th term
6. In the given sequence 15, 19, 23, 27. What is the 12th term?
a. 63 b. 59 c. 51 d. 33
7. What is the common difference of the arithmetic sequence below?
a. 8 b.6 c. 5 d. 3
8. The value of a7 in an arithmetic sequence where a3 = -4 and a8 = 11 is
a. 2 b. 5 c. 8 d. 10
9. What operation is used in determining the common difference?
a. multiplication b. division c. addition d. subtraction
Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a simple how-to)
1. f(x)
4x and g(x) = x/4
Answer:
YesStep-by-step explanation:
Given:
f(x) = 4xg(x) = x/4Find the following:
f(g(x)) = 4*g(x) = 4*x/4 = xg(f(x)) = f(x)/4 = 4x/4 = xSince f(g(x)) = g(f(x)) = x, the functions are inverses of each other.
[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]
[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]
f(x) and g(x) are inverse of each otherHelp would be appreciated!
Please explain how you got the answer c:
Answer:
-25
Step-by-step explanation:
Reading the expression:We're given the sigma notation of a series.
[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]
The variable k is the "index of notation"
The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.
"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generating the terms of the series:To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.
[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]
[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]
[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Final Answer:[tex] \mathsf{ \underline{- 25}}[/tex]
______________________
[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]
k=1,2,3,4,5[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]
[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]
[tex]\\ \rm\Rrightarrow 30-55[/tex]
[tex]\\ \rm\Rrightarrow -25[/tex]
okay can someone please answer this>
Answer:
1st one: x = -2
2nd one: x = -4
Step-by-step explanation:
1. Step 1: Rewrite into an equation.
[tex](6x+44) + (-10x+65) = 117[/tex] [tex]6x + 44 - 10x + 65 = 117[/tex]Step 2: Simplify both sides of the equation.
[tex](6x-10x) + (44+65) = 117[/tex] [tex]-4x + 109 = 117[/tex]Step 3: Subtract 109 from both sides.
[tex]-4x + 109 - 109 = 117-109[/tex] [tex]-4x = 8[/tex]Step 4: Divide both sides by -4.
[tex]\frac{-4x}{-4}=\frac{8}{-4}[/tex] [tex]x = -2[/tex]Therefore, x = -2 for the first one.
2. Step 1: Rewrite into an equation.
[tex]-16x + 13 - 20x + 23 = 180[/tex]Step 2: Simplify both sides of the equation.
[tex](-16x-20x)+(13+23)=180[/tex] [tex]-36x +36 = 180[/tex]Step 3: Subtract 36 from both sides.
[tex]-36x + 36 - 36 = 180 - 36[/tex] [tex]-36x = 144[/tex]Step 4: Divide both sides by -36.
[tex]\frac{-36x}{-36} = \frac{144}{-36}[/tex] [tex]x = -4[/tex]Therefore, x = -4 for the second one!
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
A)1
B)2
C)3
D)4
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:The rate of change is also known as slope. The slope of a linear function or a line is
It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is
Therefore the slope of first function is 0.
The slope intercept form of a line is
Where, m is the slope and b is y-intercept.
The second function is
Therefore the slope of second function is 2 and the y-intercept is 1.
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Yeah I hope its Helpful for you
Choose me Brainiliest
leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job
Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To solve the above question, we would be applying the operations of the addition of fractions.
From the question,
Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.
Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/4 + 1/3
Lowest Common Denominator for (3, 4 ) = 12
Hence,
1/T = 3 + 4 / 12
1/T = 7/12
Find the reciprocal of both sides
T = 7/12 hours or can be expressed in decimals as 0.583 hours.
Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To learn more, visit the link below;
https://brainly.com/question/13652749
Surface area of composite figures
I need help with this equation
Write an equation in the slope-intercept form of the line.
please I need help. I dont understand this. its past due!
Answer:
1) x= -8
2) x=7
Step-by-step explanation:
1) x+88+x+108 = 180 ( co-interior angles)
=> 2x+ 196 = 180
=> 2x= 180-196
=> 2x= -16
=>x= -16/2
=>x= -8
2) 7x+6=8x-1
=>7x-8x= -1-6
=>-x= -7
=>x= 7
2(h+3.5)=-11. What is the value of h
Answer:
The value of h would be nine
sarah is taking out a $24,400, 4 year new car loan with an apr of 2.88%. what is the finance charge for this loan? round to the nearest $100
The finance charge for the car loan Sarah took rounded to the nearest 100 dollars is 700 dollars.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted in decimals by dividing the percentage value by 100 it can also be simplified to keep it in a fraction form.
Given Sarah is taking a loan of 24,400 dollars for a new car.
Also given is the finance charge for this car loan is 2.88%.
We know 2.88% of 24400 dollars is,
= (2.88/100)×24400 dollars.
= 0.0288×24400 dollars.
= 702.72 dollars.
Which rounded to the nearest 100 dollars is 700 dollars.
learn more about percentage here :
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Evaluate (4/25) 1/2
A 4/5
B 4/25
C2/5
D2/25
2/25
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]
Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.
Answer:
6 7/12 miles
Step-by-step explanation:
Explanation: The total miles she rides is the miles she rides to school + the miles she rides back
Step 1: Convert both mixed numbers into fractions.
2 3/4 = 11/4
3 5/6 = 23/6
Step 2: Find GCF by multiplying both fractions by opposing denominators
11/4 = 66/24 (11 * 6 = 66, 4 * 6 = 24)
23/6 = 92/24 (23 * 4 = 92, 6*4=24)
Step 3: Add both fractions
92/24 + 66/24 = 158/24
Step 4: Simplify
158/24= 79/12 = 6 7/12 miles
Factor this please and thank you for the help
Answer:
(x−2)(x+5)
Step-by-step explanation:
Answer:
(x - 2) (x + 5) are the factors.Step-by-step explanation:
= > 3x + x^2 - 10
= > x^2 + 3x - 10
= > x^2 + (5 - 2)x - 10
= > x^2 + 5x - 2x - 10
= > x(x + 5) - 2(x + 5)
= > (x - 2) (x + 5) ... factors
HOPE IT HELPS YOU!!In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answer:
24
Step-by-step explanation:
plz mark brainly
8x-8/3=2x-1
find the value of x
Answer:
2
Step-by-step explanation:
Correct me if im wrong?
Answer:
Step-by-step explanation:
Exact Form:
x = 5 over 8
Decimal Form:
x = 0.2 over 7
I’ll give brainliest plz help me
A kitten weighs 84 grams and gains 12 grams each day. The kitten's weight is
a linear function of time. Which statement best describes the rate of change
and initial value of this function?
A. The rate of change is the number of grams gained per day, and the
initial value is the first day.
B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.
C. The rate of change is the starting weight, and the initial value is
the number of grams gained per day.
D. The rate of change is the number of days per gram gained, and the
initial value is the first day.
Answer:
B.The rate of change is the number of grams gained per day, and theinitial value is the starting weight.
Step-by-step explanation:I GOT IT RIGHT
f(x) =3x/x+2
Evaluate.
F(v) = ?
Explain..
I will give Brainliest!
Answer:
5
Step-by-step explanation:
f(v) means your x value is v so substitute X=v in f(x)
[tex]f(v) = 3 \frac{v}{v} + 2 \\ 3 + 2 \\ 5[/tex]
x+4:-x-4
What does x equal to?
Answer:
casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.
1. Tu ropa está sucia. ¿Por qué no ____ lavas?
2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.
3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.
4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?
5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.