Answer:
(f + g)(x) = x² + x - 4
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
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
Step 2: Solve
Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x): (f + g)(x) = x² + x - 5 + 1Combine like terms: (f + g)(x) = x² + x - 4What two numbers multiply to -5 and add to 4?
Answer:
The two numbers that multiply to -5 and add to 4 are:
5 and -1
Step-by-step explanation:
5 • -1= -5
5 - 1= 4
A=4 B=7 C=11 D=13 Given this number line, cd=
Answer:
.
Step-by-step explanation:
i dont know this i really hard
Answer: 2
Step-by-step explanation:
What is the slope of the line shown in the graph?
Answer:
1/2
Step-by-step explanation:
from point to point, you rise by one and run to the right by two
therefore, slope = 1/2
please help anybody it would help alot
A reporter surveyed 300 randomly selected people of all ages about their opinion of a new song. The results are shown in the table. Which of the following is a valid conclusion about data? select all that apply.
Answer:
the answers is A and E <3
Step-by-step explanation:
i took this test
Charles and Lisa were having a apple eating contest. They ate eighteen apples between the two of them. Lisa ate two more apples than Charles. How many apples did Lisa eat?
Answer: She ate 12 apples
Step-by-step explanation: 18 divided by 2 is 9 add 2 of 9 to the other 9 and you get 12 hope I helped
Answer:
she ate 10 apples
Step-by-step explanation:
I thought of it because there is only 18 apples all together
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answer:
17 feet
Step-by-step explanation:
L² = 15² + 8² = 225 + 64 = 289
L = √289 = 17 feet
Answer:
do you need the area or the perimiter?
Please help. No files allowed or you will be reported
How many solutions does the equation 5x + 3x – 4 = 10 have?
O Zero
O One
O TWO
O Infinitely many
be
????
Answer:
Step-by-step explanation:
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How many solutions does the equation 5x + 3x − 4 = 10 have
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This Must Only Have One Solution, Because The Right Side Of The Equation Is Just Plainly Ten. Lets Solve This:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10.
This Is True, So X Does Equal 1.75
What is the greatest common factor of 42 and 50
The greatest common factor of 42 and 50 is 2.
The given numbers are 42 and 50
The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly.
To find the GCF of 42 and 50,
We can start by listing the factors of each number.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Similarly, the factors of 50 are 1, 2, 5, 10, 25, and 50.
By comparing the factors,
We can see that the highest common factor is 2.
Therefore, the GCF of 42 and 50 is 2.
This means that 2 is the largest number that can divide both 42 and 50 without leaving a remainder.
To learn more about the greatest common factor visit:
https://brainly.com/question/29584814
#SPJ6
Help me please ahhhh...Simplify the expression below.
2.5x. 4
Answer:
Maybe multiply 2 and 4 then multiply 5x of product of 2 and 4
Step-by-step explanation:
IM GIVING BRAINLIEST!!PLEASE HELP!!
Answer:
D
Step-by-step explanation:
(x - 3)(x + 4) = x^2 + x - 12
PLEASE HELP:
The distance d, in kilometers, that a car travels at a speed of 80 km per hour, for t hours, is given by the equation d= 80t. What is the inverse to represent time, t as a function of distance, d?
Choices:
1. t= d/80
2.t= 80/d
3.t= 80d
Answer:
The car was traveling for 1.5 hours.
Step-by-step explanation:
Given that distance d, in kilometers, that a car travels at a speed of 80 km per hour , for t hours, is given by the equation d=80t.
Here wee need to find the time if the car has gone 120 kilometers.
That is
d = 120 km
we need to find t.
d=80t
120 = 80 x t
The car was traveling for 1.5 hours.
Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He knows that his sock drawer contains six pairs of socks, and each pair is a different color. Each pair of socks is folded together. The pairs of socks in the drawer are red, brown, green, white, black, and blue.
A. How many possible outcomes are there in the experiment?
B. What are the possible outcomes of the experiment?
C. List the sample space for the experiment.
D. Calculate P(blue).
E. Calculate P(not purple)
Answer:
Part A: There are 6 possible outcomes of this experiment.
Part B: There are 6 possible outcomes of the experiment ; red, brown, green, white, black, and blue ( equal)
Part C:
Sample Space = { red, brown, green, white, black, blue }
Part D:
P (blue)= 1/6
Part E:
P (not purple)= 1
Step-by-step explanation:
Part A:
There are 6 possible outcomes of this experiment.
As there are 6 pairs of socks. Each pair is folded together so that the socks cannot be mixed up . There is 1 chance of choosing each pair of socks.
Part B:
The chosen socks can be any of the following red, brown, green, white, black, and blue so there are 6 possible outcomes of the experiment ; red, brown, green, white, black, and blue (all have equal probability) .
Part C:
The sample space contains all the possible outcomes of the event.
Sample Space = { red, brown, green, white, black, blue }
Part D:
P(blue)= No of favorable outcomes/ Total no of outcomes
P (blue)= 1/6
Part E:
P (not purple)= 1
As the total probability is always equal to 1 and we want to find the probability of the color which is not given in the list
P( purple) = 0/6= 0
And the probability of not purple is given by the formula
P (not purple) = 1- P (purple)
= 1-0= 1
1 indicates that the event of any other color except purple must occur which is equal to the probability of not purple.
This can be solved by complement rule also.
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel. A and B. over time.
The price in dollars of fuel A after x months is represented by the function below.
10 = 2.961.04)
Part A: is the price of the increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part 8: The table below shows the price 9m) in dollars of fuels afer m months
64
m (number of months) 1
3
sim) (price in dollars) 3.04 3.22 3.41 3.61
Which ope of fuel recorded a greater percentage change in pace over the previous month? Justity your answer. (5 points)
Answer:
A. Increasing by 4%.
Step-by-step explanation:
Answer:
A) The price of product A is increasing by 3% per year.
(B) The product A recorded a greater percentage change in price over the previous year.
Step-by-step explanation:
(A)
The function representing the price, in dollars, of product A after x years is:
FA(x)=0.69*(1.03)x
The function FA(x)can be written as:
FA(x)=0.69*1+(0.03)x
The function FA(x) is similar to the exponential growth function, y=a(1+r)x .
Here r is the growth rate.
Thus, it can be said that the price of product A is increasing by 3% per year.
(B)
Consider the data of product B for the year 3 and 4.
The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.
Compute the percent price change from year 3 to 4 as follows:
10406.04-10303.01/10303.01*100
which is 0.999%
~1%
The price of product B is increasing by 1% per year.
Thus, the product A recorded a greater percentage change in price over the previous year.
Tamara can mow an acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
Answer:
2 hours
Step-by-step explanation:
HELP LeShana loaned Deena $480. Deena paid the money back with a simple interest of 5% at the end of 2 years. How much money did Deena pay back?
Answer:
FV= $528
Step-by-step explanation:
Giving the following information:
Loan (P)= $480
Number of years (n)= 2 years
Simple interest (i)= 5% per year
To calculate the amount of money that Deena paid is calculated using the following formula:
FV= P*r*t + P
FV= 480*0.05*2 + 480
FV= $528
pythagorean theorem
Answer:
The pythagorean theorem is a theorem which states that the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Pythagorean theorem
in the right angle triangles there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem.
This theorem states that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the remaining two sides.
we only use Pythagorean theorem to find the length of the missing side of a right angled triangle only.
Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to make 3 cupcakes
If 25% of a number is 65 and 60% of the same number is 156, find 35% of that number.
Answer:
35% of that number is 91.
Step-by-step explanation:
we need to first find 25% of what number equals 65.
65×100÷25 = 260
Then, if you use the same method again, 60% of 260 would be 156.
We know "that" number is 260, and all we need to do is find 35% of it.
35% of 260 = 91
Hope this helped :)
Solve −2|m|= −10.
What is m?
Answer:
|m| : -5Step-by-step explanation:
{ -2|m|= -10= |m| : -5 }EXTREMELY IMPORTANT! HELP SOMEONE CORRECT!!!!
Answer: 891ft just did this
Step-by-step explanation:
Answer: 891ft I think.
Step-by-step explanation:
Each letter in the word THEORETICAL is placed on a separate piece of paper
and placed in a hat. A letter is chosen at random from the hat. What is the
probability that the letter chosen is an E?
(Give answer in format 'a/b, no spaces, use slash for fraction bar)
Answer:
The answer is 1/11
Step-by-step explanation:
Explanation is in the picture above
please mark as brainliest
Which expression is equivalent to x+2+[4x-x^2+6x+8 over x+4?
Answer:
-x^3-7x^2-46x-16/x+4
Step-by-step explanation:
The slash is a fraction! Also the fraction is negative :)
La relación del aspecto de una pantalla o la relación entre el ancho y alto de una televisión es de 16:9. El tamaño de una TV está dado por la distancia diagonal de la TV, si se sabe que una HDTV tiene 41 pulgadas de ancho, determina el tamaño de la pantalla.
Answer:
[tex]23\frac{1}{16}[/tex] pulgada
Step-by-step explanation:
[tex]\frac{16}{9} =\frac{41}{y}[/tex]
16 × y = 9 × 41
16y = 369
16y ÷ 16 = 369 ÷ 16
[tex]y=23\frac{1}{16}[/tex]
Find the product
(10^2)^3
Answer:
Well first you must do what's in the parenthesis.
10^2 = 100
100^3 = 1000000
Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in yards Hilary walked? Use the conversion chart below to solve.
Answer:
37 yards
Step-by-step explanation:
Given data
Distance from house to the library= 18 yards
Distance from the library to the post office= 288 feet
Total distance in yards, first let us have all units to yards
288ft to yard= 96 yards
Hence the total distance in yards is
=18+19
=37 yards
A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?
Answer:
its 22 a yusd the cauculader on mi iPhone ll pro max luser b an f
Answer:
The polyhedron has 8 faces
Step-by-step explanation:
I got it right on the quiz
edge 2021
(5)
A plane contains the points A(1, 2, 8), B(-2, 3, 6), and C(5,-1, 4).
(a) Determine 2 vectors parallel to the plane.
(b) Determine 2 vectors perpendicular to the plane.
(C) Write a vector equation of the plane.
(d) Write a scalar equation of the plane.
(e) Determine if the point D(-7, 4, 0) is contained in the plane.
(f) Write an equation of the line through the y and z intercepts of the plane.
Answer:
7
Step-by-step explanation:
A flagpole casts a 12ft long shadow and the sun is currently at an angle of elevation of 53°. How tall is the flagpole?