Answers
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
Related Questions
solve the following equation (2) 2 p +6=12
2(x+4)=
12
Answers
Answer:
2p equals 2 times 3 so 6 plus 6 equals 12. 2(xplus 4) equals 2 times 4 is 8 plus 4 equals 12
Step-by-step explanation:
5-y=-3x in standard form
Answers
Answer:
y = 3x + 5
Step-by-step explanation:
The linear formula follows this general form: y = mx + c
Hence, to put 5-y=-3x in standard form, you would rearrange it
-y = -3x - 5
y = 3x + 5
Answer:
3x-y=-5
Step-by-step explanation:
standard form is Ax + By = C
5-y=-3x move the y to the other side by adding it to the -3x
-3x+y=5 The x cant be negative so switch all the signs
3x-y=-5
NEED HELP LOTS OF POINTS
Read the passage. Which statement best describes how Belle changes over the course of the story?
Riding a Bicycle
It was a bright Sunday morning when Belle woke up with the biggest smile on her face. She had been looking forward to this day for a long time. Her father was going to teach her to ride a bicycle. She dressed quickly and gulped down her breakfast.
After breakfast, Belle’s father showed her the different parts of a bike. Then he said he would hold onto the back of the bike while she peddled. But Belle’s excitement got the better of her. She said she wanted to try riding by herself. Her father let go. Belle quickly lost her balance and crashed to the ground. The fall dazed her. She grumpily agreed to let her father keep holding the bike while she rode.
Every once in a while, he would let go. The moment he did, Belle would lose her balance and topple over. Her father explained that this was perfectly normal. He said that all first-time riders fall. Even so, Belle’s mood darkened with each fall. After a while, she wanted to give up and return home.
Belle’s father tried to talk her out of quitting. He pointed toward some other children biking nearby. He showed her how happy they looked as they rode their bicycles. He told her she needed to keep trying. With a little more effort, she would soon enjoy riding just like the other children. His words gave Belle the determination to keep going.
After several more failed tries, Belle finally got the hang of it. She began gently peddling by herself, beaming with pride. She had finally done it! That night, she went to bed with a couple of bruises and cuts. But she had an even bigger smile on her face than she’d had in the morning. She would forever remember this day and the lesson she learned about never quitting.
A.
Belle starts showing more trust in her father as he teaches her how to ride a bike.
B.
Belle becomes less excited as the story goes on, until her excitement for bike riding disappears.
C.
Belle learns both how to ride a bike and how important it is not to give up.
D.
Belle gets hurt from falling off her bike, which scares her away from bike riding for good.
Answers
5x-3y+3x+2y
what is the answer
Answers
Answer:
2x−5y
Step-by-step explanation:
Answer: 8x - y
Steps: 5x - 3y + 3x + 2y
Group like terms: 5x + 3x - 3y + 2y
Add similar elements: 8x - 3y + 2y
Add similar elements: 8x - y
Plz mark brainliest:)
A number increased by 22% of itself is 488
Model the statement in an equation.
Answers
Answer:
idk,i need the same answer
Step-by-step explanation:
The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap d so that the rails just touch one another when the temperature is increased from T1=-20F to T2=90F. Using this gap, what would be the axial force in the rails if the temperature rises to T3=110F? The cross-sectional area of each rail is 5.10 in2
Answers
Answer:
um hola
Step-by-step explanation:
1) Find the GCF of the pair of Numbers
24 and 60
Answers
Answer:
12
Step-by-step explanation:
bruh i searched it up
Answer:
12
Step-by-step explanation:
Part A
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
Answers
Sine he runs 2 miles on Monday, we already have a +2.
Then, he runs by a constant rate of 1, which is the constant rate of change per day.
Let x represent the number of days he runs and y the total amount of miles he runs. Now, the equation is y = x + 2
However, he needs to run at least 6 miles. At least means greater than or equal to. The values for y can be greater than 6, or equal to 6.
y ≥ 6
y = x + 2
Now substitute x + 2 for y.
x + 2 ≥ 6
Subtract 2.
x ≥ 4
This is the inequality. He has to run for at least 4 days.
Peter spends Atmos $30 at the bowling alley he spends five dollars for each show rental and soda soda and each game cost two dollars
Answers
Answer:
chicken nuggets
Step-by-step explanation:
Answer:
If you want to write an equation it would be 5x+2x=30
Step-by-step explanation:
I am assuming you want an equation, if you do not, just reply to this
what mistake did they make?
Answers
Answer:
this is not a good angle cant see it that well
Step-by-step explanation:
Answer:
the mistake is that the person added 2x by-4x which should've been -2x
Step-by-step explanation:
-4x+2x is basically saying 2-4 which is -2
A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. The line contains negative 1, A, B, C, 0, D, E, F, 1. Which statements are correct? Check all that apply. Point A is plotted at –0.25. Point B is plotted at Negative one-half. Point C is an integer. Point D is a rational number. Point F is plotted at Three-fourths.
Answers
Answer:
The right choices are
Point B is plotted at negative one-half.
Point D is a rational number.
Point F is plotted at three-fourths.
Step-by-step explanation:
Let's make a number line according to the given situation. That would help us to answer the problem.
From the diagram,
Point B is plotted at negative one-half.
Point D is a rational number.
Point F is plotted at three-fourths are correct!
Answer
Point B is plotted at .Point D is a rational number.Point F is plotted at .
Step-by-step explanation:
f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answers
Answer:
[tex]f(g(x))=-6x[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) as real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
It can simply be found by substituting g into f.
Our functions are:
[tex]f(x)=2x-4[/tex]
[tex]g(x)=-3x+2[/tex]
Substituting g into f:
[tex]f(g(x))=2(-3x+2)-4[/tex]
Operating:
[tex]f(g(x))=-6x+4-4[/tex]
Simplifying:
[tex]\boxed{f(g(x))=-6x}[/tex]
maya reads a book at a rate of 10 chapters per hour how many chapters does she read in 5 hours
Answers
Answer:
50 Chapters
Step-by-step explanation:
10 x 5 = 50
Answer:
the answer is 50
take the chapters times 5
Max bought 16 gallons of gas for 40.64 Lydia bought 12 falls of gas for 31.08 kesia bought 18 gallons of gas for 45.72 who got the Best Buy
Answers
40.64 divided by 16
And so on.
Hope this helps.
solve for n -8 = 6+n
Answers
Answer:
no solution
Step-by-step explanation:
n -8 = 6+n
Subtract n from each side
n-n -8 = 6+n-n
-8 = 6
This is never true so there is no solution
Answer:
n = -14
Explanation:
-8 = 6 + n
move n over to the left side of the equation
-8 - n = 6
-8 - (-14) = 6
Convert 3 2/3 as a decimal?? Helppp
Answers
Answer: 3.66666667
Step-by-step explanation:
Where it says “Exercises.”
Is number 1 = 90 ?
Answers
Yes you are correct. The diagonals of any kite are perpendicular.
This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.
Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).
Martin is interested in the new hypermiling movement which focuses on getting the best miles per gallon (MPG) when driving. He gathered
some data about the weights, In thousands of pounds, of different cars and thelr average MPG. The graph below shows the results of Martin's research.
Answers
Answer:
Step-by-step explanation:
D the situation shows correlation with causation
Answer:
the situation shows correlation with caution
Help please brainliest and 63 points!
And please answer correctly :)
Determine the horizontal asymptote for the rational function.
y = 5
y = −5
y = 1
y = −1
Answers
Answer:
y = 1
Step-by-step explanation:
horizontal asymptote
This is the value that the graph approaches but never reaches
It approaches 1 but never reaches 1
y = 1
what fraction represents a repeating fraction?
a) 4/5
B) 1/2
C) 3/4
D) 5/6
please explain too!!
Answers
D) 5/6 as 5/6 = 0.833333333333333 and the three will keep repeating
Answer:
D.
Step-by-step explanation:
You meant which one is a repeating decimal.
Okay to find out you would have to divide each.
4 divided by 5 = 0.8
1 divided by 2 = 0.5
3 divided by 4 = 0.75
5 divided by 6 = 0.833333333...
See how the three keeps on repeating? That makes it a repeating decimal.
Hope this helps!!
What is an equation that goes through (12, 5); m = -3
Please help
Answers
Answer:
Step-by-step explanation:
Use this formula:
y - y1 = m ( x - x1 )
We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5
Put these values into the formula above and you get:
y - y1 = m ( x - x1 )
y - 5 = -3 ( x - 12 )
y - 5 = -3x + 36
y = -3x + 36 + 5
y = -3x + 41
Just need a lil help with this
Answers
Answer:
36 cm
Step-by-step explanation:
Find the difference
I need help please
Answers
Answer:
-2/45
Step-by-step explanation:
Hoped it helped!
You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?
Answers
Answer:
Pretty sure it's (4, -5)
Step-by-step explanation:
If not, shoot me I guess.
HELPPPPP but only number one
Answers
Answer:
-2
Step-by-step explanation:
f(-7)=-7^2-51
f(-7)=49-51
f(-7)=-2
En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada dos semanas, hoy se juntó ambos, ¿en cuántos días se volverán a juntar?
Answers
This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?
Answer / Respuesta:
Spanish: La respuesta sería 56 días más.
English: The answer would be 56 more days.
Step-by-step explanation: / Explicación paso a paso:
English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.
Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.
Please help me............
Answers
Answer: Answer: I’m not big brain
Step-by-step explanation:
Step-by-step explanation:
I really need help....
..
Answers
Answer:
show the whole number line plz
Step-by-step explanation:
I
8. Classify 8 as a perfect square, a perfect cube, both, or neither.
Answers
Answer:
It's a perfect cube, but not a perfect square.
Step-by-step explanation:
2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.
I hope this helped.
help in math plzzzzzzzzzzzzzzz I suck at it
Answers
Answer:I believe the answer is D. for many people worked in the rough environments of factories in that day and age. People wanted others to see, (who didn't know of the experiences one went through in the factories) what the factory workers had to go through, especially on such a low pay grade.
Step-by-step explanation: