please help me with this also jjodlask
Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
learn more on composite functions here: https://brainly.com/question/10687170
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answer
16 mushroom pizzas
(6x²+2x-1)-(8x²-x-5)
Answer:
-2x^2 + 3x + 4
Hope this helps. :D
Step-by-step explanation:
Pls give brainliest.
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!
Answer:
65.214
Step-by-step explanation:
0x100=0
6x10=60
5x1=5
2x(1/10)=0.2
1x(1/100)=0.01
4x(1/1000)=0.004
add all of these values up. hope this helps!
I need correct answer for this
Answer:
should be 82%
Step-by-step explanation:
Hope this helps!
Answer:
82%
Step-by-step explanation:
percents are out of 100, so its just multiplied by two
determine if the two triangles are congruent.If they are state how u know
Answer:
17) Congruent because two sides are congruent and so is the 90 degree vertical angle.
18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)
19) Congruent because all three sides are congruent (SSS)
20) congruent, all three sides are the same (SSS)
Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
Mai's ride is 1.5 times longer than Noah's
Step-by-step explanation:
What is the solution to the system of equations?
y = -2x – 6
4x - y = -36
A (15, 24)
B (-7, 8)
C (-5, 4)
what is 7/8 x 4 ? ( 7/8 is a fraction)
Answer:
7/2 or 3 1/2
Step-by-step explanation:
7/8*4/1=28/8
Simplify= 7/2 or as a mixed fraction = 3 1/2
Hope this helps
Can I have the brainliest if I am right?
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
42
Step-by-step explanation:
65000000/65000=1000
24hrs=1 day
1000/24=125/3
125/3 times 1000= 42
The regular price of a ladder is $250. If a customer uses the coupon, what percent will the customer save?
A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $16. Option B is a commission rate on weekly sales, and he averages $6400 in sales each week. What commission rate does he need to have to earn the same amount with the two options?
10%
since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.
hope this is helpful!
16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?
Answer:
My friend is farthest from my school
Step-by-step explanation:
Let the distance from the movie store to school be x and the distance from the grocery store to school be y
Using Cosine rule,
x²= 10²+7² - 2×10×7Cos120
x²= 149 -140(-0.5)
x²= 149+70
x²= 219
x= √219
= 14.8miles
y²= 10²+7² - 2×10×7Cos100
y²= 149 -140(-0.1736)
y²=149+24.2704
y²=173.2704
y=√173.2704
y=13.4miles
Please help! I highly appreciate it! :D
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza
Answer:
pointsss
Step-by-step explanation:
Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex].
To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.
Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.
If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.
Make x the subject of the formula x/a 2 + 3 b = 2 c
Answer: x=-3ab/2+ac
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
HELP please guys ................
Answer:
2nd choice
Step-by-step explanation:
On a certain hot summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that day?
There were _ children at the public pool.
There were _ adult at the public pool
Answer:
214 children and 207 adults
Step-by-step explanation:
214 x 1.75=374.5
207 x 2 = 414
414 + 374.5 = 788.5
-8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope is -4.
Because:
-8/2 is -4, which is the slope.
can someone help me with this asap, please and thank you (pic attached) *math*
Step-by-step explanation:
the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).
the 0.4 factor compresses it by the factor 0.4
the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.
15+25 distributive property
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
hi guys need some help with this one question thanks
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
Solve the inequality f – 4 ≤ 9 for f
help me.
Answer:
13
Step-by-step explanation:
Have a great day!! :)
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answer:1.07
Step-by-step explanation:
Which is correct? I wanna make sure im right
it is letter C. 3.9
hope it helps
#Chloe919
#thanks for the points
#carry on learning
Please give atleast two answers 20 POINTS
Answer:
3x^3
Step-by-step explanation:
First: you multiply the exponents inside the parenthesis with the one outside.
12*1/3= 4
3*1/3=1
you get 81x^(4)/3x
divide everything by 3: 27x^(4)/x
now subtract exponents (when dividing), you get: 27x^3
Now 1/3 is the same thing as cube root, so cube root of 27 is, thus the answer is: 3x^3
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation: