Given:
The functions are
[tex]f(x)=-5x^2+4x-9[/tex]
[tex]g(x)=8x^2-3x-4[/tex]
To find:
The value of (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the given functions, we get
[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]
On combining like terms, we get
[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]
[tex](f+g)(x)=3x^2+x-13[/tex]
Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].
Question 1
A tiling pattern is defined by the pattern rule equation 'n = 6 + 4p`,
where `p is the position number and 'n' is the number of tiles.
How many tiles would there be in position 22?
Answer:
There would be 94 tiles.
Step-by-step explanation:
The number of tiles is given by the following equation:
[tex]n = 6 + 4p[/tex]
In which p is the current position.
How many tiles would there be in position 22?
This is n when [tex]p = 22[/tex]. So
[tex]n = 6 + 4*22 = 6 + 88 = 94[/tex]
There would be 94 tiles.
The number of titles would there be in the position 22 is 94 titles.
Given that,
A tiling pattern is defined by the pattern rule equation 'n = 6 + 4p.Here p denotes the position number and n denotes the no of titles.Based on the above information, the calculation is as follows:
n = 6 + 4p
= 6 + 4(22)
= 6 + 88
= 94
Therefore we can conclude that the number of titles would there be in the position 22 is 94 titles.
Learn more: brainly.com/question/13549064
Raymond answered 95% of his answers on his English quiz correctly. if he answered 19 questions correctly, how many questions were there on the quiz in total
Answer:
There were 20 questions
19/20 = 0.95
Hope that helped!
Answer:
20 questions on the quiz
Step-by-step explanation:
Let x = the number of questions on his quiz
95/100 of x = 19,
95/100x = 19 [multiply both sides by 20]
19x = 380 [divide both sides by 19]
x = 20 questions
the intersection of parallel lines b and c and transversal line d form several special angle relationships. which pairs of angles and vertical angles?
Answer:
I think angel 2 and angle 3
and angel 5 and angle 8
are the pairs of vertical angle.
hope it helps.
What is the percent of increase from 75 to 87?
Answer:
16 percent
Step-by-step explanation:
75 is the old value and 87 is the new value. In this case we have a positive change (increase) of 16 percent because the new value is greater than the old value.
Which set of numbers is the most reasonable to describe the temperature in Alaska during the winter?
Step-by-step explanation:
uhhh what set of numbers?
Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?
Answer:
Step-by-step explanation:
6/9+x=7/10
x=7/10-6/9
when adding fractions both denominators must be equal, we’ll make them 90
x=(7/10)(9/9)-(6/9)(10/10)
x=63/90-60/90
x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3
x=(3/3)/(90/3)
x=1/30
If f(x) = -(5)x , what is f(2)?
Answer:
-10
Step-by-step explanation:
f(2) = 2 x -5
= -10
The answer is -10
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
Matching Equivalent Expressions
Quick
Check
Match each addition expression on the left with an equivalent expression on the right.
15 + 9
2(3 + 2)
8 + 10
2(5+6)
6 + 4
3(5 + 3)
10 + 12
2(4+5)
Answer:
15+9 is 3(5+3)
8+10 is 2(4+5)
6+4 is 2(3+2)
10+12 is 2(5+6)
I dont know how to do surface area
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
Write the equation of a line PERPENDICULAR
to 3x + y = 1 that passes through the point (3,
-1).
Answer:
im pretty sure its y=1/3x
Step-by-step explanation:
rearrange for y to be subject
its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient
then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x
a, b real numbers and
1 is less than a is less b is less than 4
How many different integer values is the sum of a + b?
Answer:
1 < a < b < 4
so 'a' could be 2 and 'b' could only be 3
2 + 3 = 5
Step-by-step explanation:
PLEASE HELP!!!! ILL GIVE YOU 10 POINTS IF YOUR ANSWER IS CORRECT!!!!
How do find the value of "y = x - 4 ; y = -20"?
Answer:
x=-16
Step-by-step explanation:
y=-20
y=x-4
-20=x-4
x=-16
At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.
Answer:
2, 70
Step-by-step explanation:
It is given that :
At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.
Therefore this gives the equation :
y = 5x +60 ..........(1)
At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.
So the equation will be :
y = 10x + 50.......(2)
Solving (1) and (2), we get
5x + 60 = 10x + 50
⇒ 60 - 50 = 10x - 5x
⇒ 10 = 5x
∴ x = 2
Now putting the value of x = 2 in equation (1), we get
y = 5x +60
y = 5(2) +60
y = 70
Therefore, (x, y) = (2, 70)
A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 hours. Write an equation that can be used to find how long it will
take them working together to paint the room. How many hours will it take them to paint the room? If
necessary, round your answer to the nearest tenth.
In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:
[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]
Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).
It will take Kendra and Joe approximately 3.2 hours to paint the room together.
To know more about expression visit :-
https://brainly.com/question/14083225
#SPJ1
earn 10 points if you simply answer my question please help me asap! thank you
Answer:
n + 0.5 = p
Step-by-step explanation:
I'm not sure how you format it so the AI would understand.
Help it’s due today plz
Write the product as the product of a whole number and a unit fraction for 3 x 2/4, 2x3/5, 4x2/3
Multiply
5x7/10, 4x3/4,3x8/12
Multiply. Write the product as a mixed number
3x1 1/8,2x2 1/5, 8x1 3/5
Answer:
15125265
Step-by-step explanation:
1 +3 (6 - 3n) = -6 - 4n
a) {11}
b) {-9}
c) { infinite solutions}
d) {5}
Answer:
D
Step-by-step explanation:
1+3(6-3n)= -6-4n
1+18-9n= -6-4n
1+18+6= 9n-4n
25=5n
25/5=n
5=n
It takes Colton 14 minutes to decorate 4 cookies. It takes
David 20 minutes to decorate 6 cookies. Who decorates
at a faster rate? Explain how you know
Answer:
David decorated the cookies at a faster rate than Colton.
Step-by-step explanation:
David decorated one cookie every 3 and 1/3 minutes. Colton decorated one cookie every 3.5 minutes. The way to find the answer to your question is by dividing the number of minutes by the number of cookies decorated.
If Danica ran 12 meters in 6 seconds and Colby ran 15 meters in 5 seconds, who was faster?
O Colby
O Same Time
O Danica
Please help me I give Brainiest!!!!!!
Answer:
colby is faster
Step-by-step explanation:
he ran more meters in less time he is faster
The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?
Please Need this Now
An account earns annual simple interest. Find the balance of
the account.
$2000 at 9% for 6 years
Sean’s mom baked 48 cookies. After Sean and his friends walk through the kitchen, there are 25% of the cookies left. How many cookies are left?
36 cookies are left
Step-by-step explanation:
to do this problem all you have to do is do the equation 48*0.25 and when you do that you get 12. after that you subtract 12 from 48 to get 36
How many 8s are in 888?
Answer:
Theres 3, 8 8 8
or 111, 111*8=888.
Two correct answers
Step-by-step explanation:
Tim's goal is to practice playing drums for 300 minutes this week. On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes. How many more minutes does Tim need to practice in order to meet his goal?
Answer:
135 minutes
Step-by-step explanation:
The total number of minutes Tim needs to practice is 300 minutes.
We subtract the number of minutes he has already finshed:
300 - 127 - 38 = 135 minutes
Answer:
138 minutes
Step-by-step explanation:
so all we have to do is subtract the times he practiced for on sunday and tuesday by 300
300-127-38=138
he still has to practice 138 minutes to reach his goal
The frequency table shows the scores from rolling a dice 10 times.
Work out the mean
Answer: 16/5 or 3.2
Steps:
=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1
=> 16/5 or 3.2 (answer)
give the domain and range of f(x).
Landmark buys $300,000 of SRW Company's 8%, 5-year bonds payable, at par value on July 1. Interest payments are
made semiannually on December 31 and June 30. The journal entry Landmark should make to record interest earned at
year-end December 31 is:
Answer:
Debit Cash $12,000
Credit Interest Revenue $12,000
Step-by-step explanation:
Based on the information given in a situation where Landmark bought $300,000 of SRW Company's which includes 8% bonds payable which means that if the Interest payments are
made semiannually on December 31 as well as on June 30. The journal entry that Landmark should make to record the interest earned at year-end December 31 is:
Debit Cash $12,000
Credit Interest Revenue $12,000
($300,000*8%*6/12)
David says that he can apply the commutative and
distributive properties to 7s + 8 + 5s to get 12s + 8.
Hope this helps! I had hw similar to this... so..
