Answer:
(f + g)(x) = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x + 3
g(x) = -x + 2
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = x + 3 - x + 2[Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2Add: (f + g)(x) = 5A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N).
Answer:
P(N) = 5/14
Step-by-step explanation:
Find P(N) by finding the probability of getting a noisemaker.
There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:
15/42
Simplify:
5/14
So, P(N) = 5/14
1. What must be added to 203 to get a number whose digits are reversed of the given number?
Zahraa made 4 pitchers of lemonade. Each pitcher holds ⅓ gallon. How many gallons of lemonade did she make? WHATS THE ANSWER??
Answer:
12 gallons
Step-by-step explanation:
If each pitcher can hold only a third of one of her makings. Think about it. Just pour the glasses in your mind. She fills it up a little bit, and then keeps doing it until 12 are full. or how else to explain it or really explain it at all.
Please help solve this using L.C.M and explain the steps plz ty.
9514 1404 393
Answer:
(x, y) = (2, 3)
Step-by-step explanation:
The first step is to find the least common multiple of the denominators of each of the equations. If the denominators have no common factors, a reasonable choice is their product. Here, it works to start with the fractions that must be added, then compare the LCM found to the denominator on the right to see if any further factors must be included.
First equation:
LCM = 3×4 = 12
12(2x/3 -y/4) = 12(7/12) . . . . . multiply the equation by 12
8x -3y = 7 . . . . . . . . . simplify
Second equation:
LCM = 4×5 =20
20(3x/4 -2y/5) = 20(3/10) . . . . multiply equation by 20
15x -8y = 6 . . . . . . simplify
Solve by elimination
We can eliminate the y-variable by subtracting 3 times the second equation from 8 times the first:
8(8x -3y) -3(15x -8y) = 8(7) -3(6)
19x = 38 . . . . . simplify
x = 2 . . . . . . . divide by 19
Substituting into the first equation gives ...
8(2) -3y = 7
3y = 9 . . . . . . add 3y-7
y = 3 . . . . . divide by 3
The solution is ...
(x, y) = (2, 3)
_____
There are many ways to solve such a system of equations. Using the LCM to eliminate fractions is one way to start. You can also do the arithmetic with the fractions intact, though most folks don't care to. In addition to the elimination method used here, you can use matrix or graphical methods, substitution, or any of the variations of Cramer's Rule.
2×(4×2-10)³ How do you simplify powers in this?
Answer:
Step-by-step explanation:
first work what's in the brackets { 4 x 2 -10}^3
{4 x 2-1000}
4 x -998
What is the perimeter of the trapezoid? In unit
Answer:
20 units
Step-by-step explanation:
the perimeter = 7+4+4+5 = 20 units
Anyone know this? Please help
Can someone help ASAP
What is the solution to -2(8x - 4) < 2x + 5?
Answer:
See image below:)
Step-by-step explanation:
3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)
Answer:
Step-by-step explanation:
9^2
=9*9
=81
15^2
=15*15
=225
(0.2)^2
=0.2 * 0.2
=0.04
(0.7)
=0.7
Which graph represents the function (x) = -1x - 21 - 1?
Answer:
Given in the graph
Step-by-step explanation:
Mathematical Literacy Assignment no 2021
Help Help Help it's in khan academy
Answer:
Step 1 is wrong
Step-by-step explanation:
[tex] \frac{1}{4} r+ 2 = 10[/tex]
[tex] \frac{r}{4} + 2 = 10[/tex]
[tex] \frac{r}{4} = 10 - 2[/tex]
[tex] \frac{r}{4} = 8[/tex]
[tex]r = 8 \times 2[/tex]
[tex]r = 32[/tex]
Hope it is helpful...If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%
Answer:
D. 45%
Step-by-step explanation:
there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%
What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4
Answer:
its b
Step-by-step explanation:
In the figure below, which term best describes point R?
A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter
Orthocenter is the best term to describes point R in the triangle UVW.
What is orthocenter?" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."
According to the given figure,
In triangle UVW,
Ray VR perpendicular to UW
Ray UR perpendicular to VW
Ray WR perpendicular to UV
Altitudes of side ( UV , VW, and WU) of triangle UVW intersect at
point R.
As per the definition of orthocenter , point R represents orthocenter.
Hence, orthocenter is the best term to describes point R in the triangle UVW.
Learn more about orthocenter here
https://brainly.com/question/19763099
#SPJ2
2. How many degrees has PRQ been rotated to make PRQ
Answer:
180 degree
Step-by-step explanation:
180 degee
......
......
.......
work out 8^1/3
^1/3 = power
Answer:
8/9 (decimal: 0.888889)
Answer:
[tex]2[/tex]
Two is the answer.
Step-by-step explanation:
simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers
Or .... cube root of 8 is two..
PLEASE MARK ME BRAINIEST
If 8 x - 4 = 6 - 3 x then x =
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
Which of the following represents the ratio of the given side to the
hypotenuse?
HELP if you’re good at GEOMETRY!!
Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad
Answer:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Explicación:
Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.
En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 90% de actividad ---------------- los CV serán x
x = [(90)(180,000,000.00)]/(80) = 202,500,000.00
Los costos variables de fabricación al nivel de actividad de 90% son $202,500,000.00
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 100% de actividad ---------------- los CV serán x
x = [(100)(180,000,000.00)]/(80) = 225,000,000.00
Los costos variables de fabricación al nivel de actividad de 100% son $225,000,000.00
Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:
CT = CV + CF ⇒ CV = CT - CF ⇒
CV = 371,500,000.00 - 202,500,000.00 = 169,000,000.00
Los costos fijos de fabricación son de $169,000,000.00
Conclusión:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Please help! Thank you!
Answer:
D: (2, -3)
Step-by-step explanation:
We have;
y = 3x - 9 - - - (1)
y = -2x + 1 - - - (2)
By substitution method, from eq 1, we see that: y = 3x - 9
Thus,let's put 3x - 9 for y in eq 2;
3x - 9 = -2x + 1
Rearranging to get;
3x + 2x = 9 + 1
5x = 10
x = 10/5
x = 2
Thus;
y = 3(2) - 9
y = 6 - 9
y = -3
Thus,the solution (x, y) = (2, - 3)
The frequency table shows all but one score on a 5-point geography quiz. If the mode of the complete data set is 4, what is the unknown quiz score?
Answer:
(4)
Step-by-step explanation:
element =4
frequency=1
cumulative frequency-=1
relative frequency=1
cumulative relative frequency=1
Need help ASAP!!!!!!
Answer:
I dont know for sure, but maybe try B
Step-by-step explanation:
A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water works per shift
Answer:
Number of hour work per shift = 11 hour per day
Amount paid for one shift = Rs 198
Step-by-step explanation:
Given:
Amount pay per hour = Rs 18
Shift time = 12 h to 23 h
Find;
Number of hour work per shift
Amount paid for one shift
Computation:
Number of hour work per shift = 23:00 - 12:00
Number of hour work per shift = 11 hour per day
Amount paid for one shift = Number of hour work per shift x Amount pay per hour
Amount paid for one shift = 11 x 18
Amount paid for one shift = Rs 198
Alex was trying to determine how much money he owed the bank. Since his checking account has a balance of -155 dollars, he thinks that he can find the absolute value of -155 to determine that he owes the bank 155 dollars. Is Alex correct?
Answer:
Alex is correct.
Step-by-step explanation:
In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.
Help (PLATO)
its Algebra
Answer: The answer is D
Step-by-step explanation:
You add z to the other side then it will cancel out which then it would be (w+z) and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x
Hopefully this helps
Which of the following is the point-slope form of the equation with slope 3 that goes through the point (4,2)?
Answer:
y–y1 =m (X–X1)
y–2=3(x–4)
y=3x–10
Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required
Answer:
20 games are required to be play
Find the Value of X (in this picture)
9514 1404 393
Answer:
x = 64
Step-by-step explanation:
The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.
The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.
x° = 180° -2(58°)
x° = 64°
