Step-by-step explanation:
f(x) = 3x - 4
g(x) = x + 2
(f + g) = f(x) + g(x)
= 3x - 4 + x + 2
= 4x - 2
Domain: All real numbers
(f - g) = f(x) - g(x)
= 3x - 4 - (x + 2)
= 3x -4 -x -2
= 2x -6
Domain: All real numbers
(fg) = f(x) * g(x)
= (3x - 4)(x + 2)
= 3x^2 + 6x -4x -8
= 3x^ 2 + 2x - 8
Domain: All real numbers
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Please make it correct..I need to pass this...
Answer: The next fraction in the sequence will be 5/20.
Step-by-step explanation:
9/20 is the first fraction.
2/5 is equal to 8/20, so that is the second fraction.
7/20 is the third fraction.
3/10 is equal to 6/10, so that is the fourth fraction.
By now we can see that there is a pattern, because the first fraction's numerator began with 9, the next 8, then 7, and 6. We also simplfied all he fractions so that they had the denominator 20. Because of this, the next fraction in the sequence will be 5/20.
4 years ago, the age of two sisters combined equal 24 years, and the younger sister was 8 years younger. How old are they today?
*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?
a.) Quota
b.) Salary
c.) Gross pay
Answer:
A
Step-by-step explanation:
Un agricultor planta 720 naranjos, 250 matas de mandarina, 360 de mamon y 480 de níspero en el menor número posible de hileras, cada una con el mismo número de árboles, sin mezclarlos. A) ¿Cuántos arboles tiene cada hilera? B) ¿Cuántas hileras necesita?
Answer:
A) Se requiere 10 árboles por hilera.
B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Step-by-step explanation:
A) A continuación, realizamos la descomposición factorial de cada número:
Naranjos
[tex]720 = 2 \times 2 \times 2 \times 2 \times 3\times 3\times 5[/tex]
[tex]720 = 2^{4}\times 3^{2}\times 5[/tex]
Mandarinos
[tex]250 = 2\times 5\times 5\times 5[/tex]
[tex]250 = 2\times 5^{3}[/tex]
Mamoneros
[tex]360 = 2\times 2\times 2\times 3\times 3\times 5[/tex]
[tex]360 = 2^{3}\times 3^{2}\times 5[/tex]
Nísperos
[tex]480 = 2\times 2\times 2\times 2 \times 2\times 3\times 5[/tex]
[tex]480 = 2^{5}\times 3\times 5[/tex]
El máximo común divisor de los cuatro números representa el número de árboles de cada hilera considerando el menor número posible de hileras, cuyo valor es [tex]2\times 5 = 10[/tex]. Se requiere 10 árboles por hilera.
B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por el resultado del punto anterior:
Naranjos
[tex]x = \frac{720}{10}[/tex]
[tex]x= 72[/tex]
Mandarinos
[tex]x = \frac{250}{10}[/tex]
[tex]x = 25[/tex]
Mamoneros
[tex]x = \frac{360}{10}[/tex]
[tex]x = 36[/tex]
Nísperos
[tex]x = \frac{480}{10 }[/tex]
[tex]x = 48[/tex]
El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Teniendo en cuenta la definición de m.c.m:
A) Se requieren 10 árboles por hilera.
B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
A) Para hallar la cantidad de árboles que posee cada hilera debes hallas el m.c.d entre 720, 250, 360 y 480.
El máximo común divisor, m.c.d., de dos o más números es el mayor número que divide a todos de manera exacta, es decir, es el mayor de los divisores que tienen en común dos o más números.
El mínimo común múltiplo se suele expresar con las siglas m.c.d. (a, b), siendo a y b los números.
Para calcular el mínimo común múltiplo de dos o más números, de debe descomponer los números en factores primos (son los números que sólo son divisibles por sí mismos o por el número 1). En este caso:
720= 2×2×2×2×3×3×5= 2⁴×3²×5
250=2×5×5×5= 2×5³
360=2×2×2×3×3×5= 2³×3²×5
480=2×2×2×2×2×3×5= 2⁵×3×5
El mínimo común múltiplo se obtiene escogiendo todos los factores comunes, elevados a la menor potencia. Es decir, se escoge aquellos factores que aparecen en todas las descomposiciones la menor cantidad de veces. En este caso:
mcd (720,250,360, 480)= 2×5= 10
Entonces, se requiere 10 árboles por hilera.
B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por la cantidad de árboles que se requiere por hilera:
Naranjos: 720÷10= 72
Matas de mandarina: 250÷10= 25
Mamon: 360÷10= 36
Níspero: 480÷10= 48
El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Learn more:
https://brainly.com/question/19756356?referrer=searchResultshttps://brainly.com/question/19129302?referrer=searchResults1,200 divided by 5 times 10
Answer:
24
Step-by-step explanation:
Multiply 5 * 10
5 * 10 = 50
1,200/50 = 24
The result of 1,200 divided by 5 times 10 is 2,400.
To solve the expression, follow the order of operations (PEMDAS/BODMAS):
1,200 ÷ 5 × 10
Step 1: Perform division first:
1,200 ÷ 5 = 240
Step 2: Perform multiplication:
240 × 10 = 2,400
So, the result of 1,200 divided by 5 times 10 is 2,400.
To know more about divided, refer here:
https://brainly.com/question/15381501
#SPJ6
1/4 : 10 = x : 4 solve for x
Answer:
Step-by-step explanation:
1/4 :10=1/40
1/40=x/4
x=4/40=1/10
Please help due today
Answer:
it is the 3rd one
Step-by-step explanation:
Answer:
it's e/g
Step-by-step explanation:
adjacent/hypotenuse
the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect
find the slope, rate of change, from the tables below
Answer:
Step-by-step explanation:
the diagram shows nine identical squares inside a rectangle
Answer:
it is the fourth one it is your answer
Answer: width = 15
Step-by-step explanation:
6 x 3 = 18
5 x 3 = 15
You have a bag of chocolate candy. Ten of them are red, 7 are brown, 12 are
green, and 9 ore blue. What is the probability that you pick a red candy, given that
you have already picked o red candy and have not replaced it?
Answer:A
Step-by-step explanation: 10/37
Use the table to write a linear function that relates y to x.
y=
Answer:
A linear function that relates y to x is:
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
The graph of the linear function is also attached.
Step-by-step explanation:
Given the table
x -3 0 3 6
y 3 5 7 9
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking two points (-3, 3) and (0, 5) from the table to determine the slope of the linear function
(x₁, y₁) = (-3, 3) (x₂, y₂) = (0, 5)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [0 - (-3)]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
substituting m = 2/3 and b = 5 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
Therefore, a linear function that relates y to x is:
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
The graph of the linear function is also attached.
Which one..? need help. :)
Answer:
option d is the answer..................
Answer:
4
Step-by-step explanation:
the answer is the last one which is the 4 one
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
Answer: 131 magazines per hour
Step-by-step explanation:
Peggy delivered 328 magazines in 2.5 hours.
To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:
= Magazines / Time in hours
= 328 / 2.5
= 131 magazines per hour
PLEASE HELP!!!! The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answer:20
Step-by-step explanation:
I got it right on my test
If O is the center of the circle find x.
Answer:
x = 60°
Step-by-step explanation:
Angles on the circle formed by the same arc are congruent, then
∠ BDC = ∠ BAC = 50°
x = 180° - (70 + 50)° ← sum of angles in triangle = 180°
x = 180° - 120° = 60°
The circumference of a circle is 16Pi ft.
The radius is ft.
Answer:
the answer is 8 Pi
Step-by-step explanation:
just divide 16 by 2 because it's half of the diameter
Answer:
The answer is (8)
Step-by-step explanation:
I got it right on edge have a good day.
☆*: .｡. o(≧▽≦)o .｡.:*☆
Find each slope and y-intercept. Then graph each equation.
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopeWhich expression is equivalent to ^3 square root of 54x + 3^3 square root of 2x, if x ≠ 0
Answer:
A
Step-by-step explanation:
[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]
Carmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .
Answer: No, she is right
Step-by-step explanation:
[tex]\frac{2x^2+7x+3}{4x+12}[/tex]
Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.
[tex]\frac{2x(x+3)+(x+3)}{4(x+3)}[/tex]
The (x+3) will cancel
[tex]\frac{2x+1}{4}[/tex]
POSSIBLE POINTS: 33.33
Tyler can complete his Algebra Il project in 2.5 hours, but if he works with Luke they can finish in 1.5 hours. How long would it take Luke to finish the
project on his own?
Graph the equation.
y + 2 = 3(x + 1)
Answer:
it is a
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Slope: 3
y-intercept: (0,1)
If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? 16 ⋅ 3 16 ⋅ 16 ⋅ 16 163 316
Answer:
16x16x16
Step-by-step explanation:
The reason why is because a cube has six squares that make up the cube. 6/2= 3. The answer is the same as 16 to the power of 3.
Someone please help and please make sure the answer is right :(
Answer:
it's 11
Have a good day!!
Róndelo draws the semicircle shown at the right what is the area of the semicircle
I asked this question three hours ago and nobody answered it
A glider is towed to an altitude of 2,000 feet above the ground before being released by the tow plane. The glider loses 450 feet of altitude before finding an updraft that lifts it 1,750 feet. What is the glider's altitude now?
Answer:
okay so first you have the original height (2,000 feet) than subtract by 450. add 1750 giving you 3300
Simplify (x^2-4x-12)/(x^2-4)
Answer:
(x-6)/(x-2)
Step-by-step explanation:
(x^2-4x-12)=(x^2+2x-6x-12)
X(X+2)-6(X+2)
(x-6)(X+2)
(x^2-4)
= (x-2)(x+2)
(x-6)(X+2)/(x-2)(X+2)
(x-6)/(x-2)
7 (10pts) In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC . If m∠BAM = 60°, AM = 10 in. Find: AB and MC. B (5pts) Find MC. Answer: MC = in. SAVE ANSWER Need help with formatting? Next
Answer:
MC is 10 in.
Step-by-step explanation:
The given parameters for the triangle ΔABC are;
m∠B = 90°
m∠C = 15°
M ∈ BC
m∠BAM = 60°
AM = 10 in.
From the given information, ΔABC is drawn using Microsoft Visio, from which we have ΔACM
m∠CAM = 75° - 60° = 15° (By angle addition postulate)
m∠CAM = 15° = m∠C, therefore, ΔACM is an isosceles triangle with base angles, m∠CAM and m∠C each equal to 15°
AM = 10 in. = MC, by definition of isosceles triangle
∴ MC = 10 in.
Expand using the distributive property 10(-4x + 2)
Answer:
-40x+20
Step-by-step explanation:
10 times -4x=-40x
10x2=20
Answer:
-40x+20
10*-4x+10*2