Answers
Answers:
[tex](f \circ g)(x) = \sqrt{36x^2+96x+65}\\\\\\(f \circ g)(2) = \sqrt{401}\\\\[/tex]
========================================================
Work shown for part 1
[tex]f(x) = \sqrt{x^2-2x+2}\\\\f(g(x)) = \sqrt{(g(x))^2-2(g(x))+2}\\\\f(g(x)) = \sqrt{(-6x-7)^2-2(-6x-7)+2}\\\\f(g(x)) = \sqrt{36x^2+84x+49+12x+14+2}\\\\f(g(x)) = \sqrt{36x^2+96x+65}\\\\(f \circ g)(x) = \sqrt{36x^2+96x+65}\\\\[/tex]
----------------------------------
Work shown for part 2
[tex](f \circ g)(x) = \sqrt{36x^2+96x+65}\\\\(f \circ g)(2) = \sqrt{36(2)^2+96(2)+65}\\\\(f \circ g)(2) = \sqrt{401}\\\\[/tex]
Related Questions
4/1 = 12/3 so 12 cups =_____ quarts
Answers
Answer:
3 quarts
Step-by-step explanation:
4/1 = 12/3 so 12 cups =3 quarts
I WILL GIVE BRAINLIEST
Dan’s dog-walking job pays $15 per hour. His job as a car-wash attendant pays $400 each week. Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week.
Which three inequalities can model this situation?
Select all the correct answers.
A. x(15 + 400) > 520
B. 520 < 400 + 15x
C. 15x > 120
D. 15x + 520 > 400
E. 520 < 15x + 400x
F. 15x + 400 > 520
Answers
[tex]\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
Let the number of hours be x for his job of Dog walking..
So, The equation would be:
[tex] \blue \dashrightarrow \green{ \sf15x +400}[/tex]
Dan wants to earn more than $520 in a week, so this means that the expression is greater than 520:
[tex] \blue \dashrightarrow \green{ \sf15x + 400 > 520}[/tex]
If we move the constant to the right-hand side and change its sign, The equation would be:
[tex] \blue \dashrightarrow \green{ \sf15x > 520 - 400} \\ \blue \dashrightarrow \green{ \sf15x > 120}[/tex]
Also, the first inequality can be rearranged as:
[tex] \blue \dashrightarrow \green{ \sf520 < 400 + 15x}[/tex]
B. Translate each word into algebraic eqaution. (Use any letter)
1. Twice a number is 18. _____
2. The difference of a number and 5 is equal to 8. _____
3. The quotient of a number and 7 is 21. _____
4. Thrice a number plus 5 is 12. _____
5. The product of two and a number is 18. ______
Help me in Mathematics ASAP ASAP ASAPPP
Answers
Answer
1. 9
1. 13
1. 147
1. 7/3
1. 9
Step-by-step explanation:
Algebraic equations
1. 2x=18
2. x-5=8
3. (x/7)=21
4. 3x+5=12
5. 2x=18
Help please and thank you giving brainliest. Please don’t spam answer just for point :)
Answers
Answer:
x ( [tex]\frac{1}{2}[/tex] b, [tex]\frac{1}{2}[/tex] c )
Step-by-step explanation:
x is the midpoint of PQ and its coordinates are the average of the coordinates of the endpoints P and Q , then
x = ([tex]\frac{b-0}{2}[/tex], [tex]\frac{c-0}{2}[/tex] ) = ( [tex]\frac{1}{2}[/tex] b, [tex]\frac{1}{2}[/tex] c )
(b) If the sum of two consecutive odd numbers is 48, find the numbers.
Answers
Answer:
23, 25
Step-by-step explanation:
let the first number be represented as A, since there are two odd numbers, the second number would be A + 2
A + A+2 = 48
2A + 2 = 48
2A = 48 - 2
2A = 46 ( divide both sides by 2)
A = 23
since we know the next number to be A + 2
= 23 + 2 = 25
the two numbers are 23 and 25
last saturday angela had a birthday party. 9 people had to leave early. there were 14 people left. how many people showed up for her party?
Answers
Answer:
23 people showed up for Angela's party.
Step-by-step explanation:
Hi there!
We're given that 9 people at the party had to leave early, and there are 14 people left.
Let n be equal to the original number of people who showed up for Angela's party.
n - 9 = 14
n = 14 + 9
n = 23
Therefore, 23 people showed up at her party.
I hope this helps!
23 people showed up for her party
How to determine the number of people in the partyThe given parameters are:
People that left early = 9
People remaining = 14
Represent the number of people in the party with x.
So, the value of x is calculated as:
x =14 + 9
Evaluate the sum
x = 23
hence, 23 people showed up for her party
Read more about the sum operator at:
https://brainly.com/question/4344214
Please help me with this problem
Answers
Answer:
1.price(dollars) and soccer ball
2.y=30 and x=5
3. I think 5 or 30
Step-by-step explanation:
pa follow po
pa brainlest po
pa heart and 5 star
Tim thought of a number, x. he multiplied x by 15:and then subtracted 3. and then Tim told Jim the result, y.
Write a formula that will help Jim quickly find Tim’s number if he knows the value of y.
Answers
Answer: x = (y+3)/15.
Step-by-step explanation:
We know that 15x - 3 = y.
We can add 3 to both sides:
15x = y + 3
We can divide both sides by 15:
x = (y+3)/15.
Therefore, if given y, we can find x by computing (y+3)/15.
10. Which is equivalent to 4/3?
a.
1218
.
b. 3/32
31
.
c. 3/20
d. 35/
Answers
Answer:
3/30
Step-by-step explanation:
A flower bed is in the shape of a trapezoid.
A trapezoid with base lengths of 6 feet and 8 feet, and height 4 feet.
What is the square footage of the flower bed?
28 ft2
56 ft2
96 ft2
192 ft2
Answers
Answer:
28 ft2
Step-by-step explanation:
You add the bases then you multiply by the height. After that you divide by 2 to get your answer. Hope this helps!!
Answer:
28 ft²
Step-by-step explanation:
Area of a trapezoid:
[tex]A=\dfrac12(a+b)h[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the bases and [tex]h[/tex] is the height)
Given:
[tex]a=6[/tex][tex]b=8[/tex][tex]h=4[/tex][tex]\implies A=\dfrac12(6+8)4[/tex]
[tex]\implies A=28 \ \textsf{ft}^2[/tex]
you deposit $1200 in a savings account that earns interest at a 5.4% rate per year. how much interest will you have earned after 3 years?
Answers
Answer:
A = P(1 + r/n)nt
A is the amount accumulated, P is the principle (initial) amount, r is the decimal rate, n is the number of times interest is compounded per year, and t is the number of years.
In this question, we are solving for A, P is $1200, r is 0.03, n is 1 (because interest is compounded once per year), and t is 3 years.
Thus:
A = $1200(1 + 0.03/1)1(3) = $1200(1.03)3 = $1311.27
and
Interest earned = 1311.27 - 1200 = $111.27
Answer:
Interest earned = 1311.27 - 1200 = $111.27
Step-by-step explanation:
so I’m pretty sure 111.27…please tell me if I’m right !!
0.612 repeating as a fraction
Answers
Answer:
153/250
Step-by-step explanation:
did this in 4th grade
The table shows values for functions f(x) and g(x). X f(x)=0. 25x g(x)=−0. 75x 1 −3 64 3. 25 −2 16 2. 5 −1 4 1. 75 0 1 1 1 0. 25 0. 25 2 0. 0625 −0. 5 3 2000. 015625 −1. 25 What is the solution to f(x)=g(x) ? Select each correct answer. X=−3 x=−2 x=−1 x = 0 x = 1 x = 2 x = 3.
Answers
Solution to f(x)=g(x) will be x=0 and x=1 because functional value on these two points is same for both the functions.
it is given that
[tex]f(x)= 0.25^x\\g(x)= -0.75x+1[/tex]
given table is,
x f(x) g(x)
-3 64 3.25
-2 16 2.5
-1 4 1.75
0 1 1
1 0.25 0.25
2 0.625 -0.5
3 0.015625 -1.25
what is the solution of two functions?solutions of two functions are the points where two functions intersect or we can say that points where the values of two functions is equal.
as we can see that for x=0 and for x=1, the value of functions i.e. f(0)=g(0)=1 and f(1)=g(1)=0.25
it means these two functions will intersect at x=0 and x=1 so these values(0 and 1) of x will be the solution to f(x)=g(x)
therefore, solution to f(x)=g(x) will be x=0 and x=1
to get more about solutions of two functions refer to:
https://brainly.com/question/1306680
if it jake 2/3 hours to paint 2/5 of his room, how long would it take to paint his sister's room?
Answers
(2/3)/2=1/3 hour to paint 1/5 of his room
(1/3) x 5= 5/3 hours to pain the entire room
Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7).
f(x) =_
Answers
Answer:x^4 +y+1
Step-by-step explanation:
The graph solves this system of equations. What is the solution to the system? Use the drop-down menus to explain your answer.
4x + 6y = 8
y = −23x + 13
Answers
Answer:
No solution, parallel
Step-by-step explanation:
The lines are parallel since they do not touch> Also, parallel lines do not have a solution to their systems of equation.
One leg of a 45°-45°-90° triangle measures 6 inches. What is the length of the hypotenuse?
Answers
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
In a 45-45-90 triangle, the legs are x, and the hypotenuse is [tex]x\sqrt{2}[/tex]
Since x, in this case, is 6, the hypotenuse is [tex]6\sqrt{2}[/tex]
Hope this helps!
What do the grid boxes in a punnett square represent?.
Answers
Answer:
All the possible allele combinations in the offspring
Step-by-step explanation:
Hope this helps!
If the area of the square is 64% of the old area, by what percent is decreased each side?
A. 6%
B. 9%
C. 20%
D. 36%
Answers
Answer:
b, 9 percent
Step-by-step explanation:
100-64=36%
36/4=9%
If mWP= 56° and mKA= 162°, find m E.
Answers
Answer:
m<E = 1/2 ( WP - KA )
m<E = 1/2 ( 162 -56 )
m<E = 1/2 (106)
m<E = 53
En una ciudad de 270000 habitantes las 5/9 partes son mujeres ¿cuantas mujeres y cuantos hombres hay?
Answers
270,000 * [tex]\frac{5}{9}[/tex] = 150,000 women / mujeres
270,000 - 150000 = 120000 men / hombres
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
/
¡Que tenga un lindo día!
Espero que esto sea lo que estás buscando, pero si no, ¡comenta! Editaré y actualizaré mi respuesta en consecuencia.
- Heather
UH HELP PRETTY PLEASE I NEED HELP!!!!!!!!!!! ME MARK CROWN
Answers
Answer:
D) q(x) = x² - 18 and w(x) = x²Step-by-step explanation:
Let the function w(x) is:
w(x) = x²The vertex of w(x) is (0, 0), the vertex of q(x) is 18 units below, so it is (0, - 18) and its equation is:
q(x) = w(x) - 18 = x² - 18Correct choice is D
I need help with these two questions please !
Answers
Answer:
9. 60
10. 12
Step-by-step explanation:
9.
We need to find the least common multiple (LCM) of 12 and 15.
Here are two methods:
Method 1
List several multiples of each number until you find the smallest number that is a multiple of both.
Multiples of 12: 12, 24, 36, 48, 60, 72
Multiples of 15: 15, 30, 45, 60, 75
60 is the LCM of 12 and 15.
Answer: 60
Method 2
Find the prime factorization of both numbers.
12 = 2² × 3
15 = 3 × 5
The LCM is the product of the following factors:
Common and not common prime factors with greater exponent.
2 is not common. Use 2².
3 is common. Use 3.
5 is not common. Use 5.
LCM = 2² × 3 × 5 = 60
Answer: 60
10.
We need the LCM of 4 and 6.
I'll use the second method above which is prime factorization.
4 = 2²
6 = 2 × 3
LCM = 2² × 3 = 12
Answer: 12
Help!!!! Its A Math Question Which of the following equations describes the relationship for the values in the table.
Question options:
y = 10x−3
y=2x2−1
y=2x2+1
y=x2+3
Answers
Answer:
[tex]y = 10 \times - 1 = [/tex]
[tex] \times - 1 = - 10[/tex]
y=
[tex] - 10[/tex]
factor? 3x^2- 15x + 18
Answers
Hello!
Use the Big X method, since the leading coefficient is greater than 1
Now, let me clarify this a little.
First of all, we should multiply 3 times 18:
54
Now, think of 2 numbers that multiply to 54 and add to 15.
The numbers are 6 and 9.
Now, split the middle:
3x²-6x-9x+54
I hope it helps!
Good luck and enjoy your day!
-SnowFlake
David saves $25.78 to buy a video game. After he buys the video game, he has $3.04 left over. How much does David spend on the video game?
Answers
Answer:
He spent 22.74
Step-by-step explanation:
because 25.78−22.74 = 3.04
a computer is priced 500 but is on sale for 30% off. what is the sale price of the computer
Answers
Answer:
the answer is 350
Step-by-step explanation:
500$-30%350$
pls helpnnmm what to do
Answers
Answer:
see you
hope you will like it
Answer:
Step-by-step explanation:
[tex]CP=\dfrac{SP*100}{100+profit}\\\\\\ =\dfrac{500*100}{115}\\\\\\= \dfrac{100*100}{23}=\dfrac{10000}{23}\\\\= 434.78[/tex]
CP = ₹ 434.78
If the discriminant of an equation is positive, which of the following is true of
the equation?
A. It has one real solution.
B. It has two complex solutions.
C. It has one complex solution.
ОО
D. It has two real solutions.
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
Two real and distinct roots
Answer:
D
Step-by-step explanation:
The conditions for the discriminant and the roots of the equation are
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then roots are complex
here the discriminant is positive , that is greater than zero , then
the equation has two real solutions D
Please tell me the mean median and mode of
82, 78, 82, 80, 100, 96, 75, 91
Answers
Answer:
90 is the median and 86 is the mean
Step-by-step explanation:
:)
The median of any set of numbers is the middle number of the set when then all the numbers are arranged from smallest to greatest. However, if there is an even number of numbers in the set, just take the average of the two numbers close to the middle
75, 78, 80, 82, 82, 91, 96, 100[tex]median = \frac{82+82}{2} =\frac{164}{2} =82[/tex]The mode of any set is the number that shows up the most often in the set
mode = 82 (because it shows up twice while other numbers only show up once)The mean of any set is all the numbers in the set divided by the number of numbers in the set
[tex]mean = \frac{82 + 78+82+80+100+96+75+91}{8} =\frac{684}{8} =85.5[/tex]The range is the smallest number of the set subtracted from the largest number of the set.
[tex]range = 100 - 75 = 25[/tex]Hope that helped!
