Answer:
fg(x) = 2x² - 1
gf(x) = 4x²-12x +10
Step-by-step explanation:
Given the functions f(x) = 2x-3 and g(x) = x^2 + 1
a) f(g(x)) = f(x²+1)
f(x²+1) = 2(x²+1) -3
f(x²+1)= 2x²+2 -3
f(x²+1) = 2x² - 1
fg(x) = 2x² - 1
Hence function fg(x) is 2x² - 1
b) gf(x) = g(2x-3)
g(2x-3) = (2x-3)² + 1
g(2x-3) = (2x-3)(2x-3) + 1
g(2x-3) = 4x²-6x-6x+9 + 1
g(2x-3) = 4x²-12x +10
gf(x) = 4x²-12x +10
Part A
Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP
Answer:
-1 ; -1 ; the two lines are parallel
Step-by-step explanation:
To find the slope of the two lines, we can proceed in two different ways:
1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y
line 1: m = 3/-3 = -1 line 2: -4/4 = -1
2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x
line 1
-3y = 3x+6
-y = x + 2
y = -x -2
m = -1
line 2
x+y = 2
y = -x +2
m = -1
the two lines have the same slope, so they are parallel
what is 4 minus 7 plus 9 =8
Answer: 15
Step-by-step explanation:
4-7+9=8
+7 +7
4+9=15
15=15
Answer:
Step-by-step explanation:
which is greater (-27) or (-2-7)
Answer:
(-27) is greater I'm pretty sure.
Answer:
(-2-7) is greater than (-27)
you know that the y-ntercept point always has an x-coodinate of 0 what number can you substitute for x in the equation to find the y-intercept? show how to do this
Answer:
x=0
Step-by-step explanation:
Since y-intercepts lie on the y-axis, the x-coordinate must be 0.
The order in which conditions are combined does not matter in a _____.
permutation
combination
sequence
series
Answer:
combination!!
Add working steps if possible :)
Answer:
245.5 cm²
Step-by-step explanation:
Formula : -
Area of square = side²
Area of square
= 18²
= 324 cm²
Formula : -
Area of circle = πr²
Area of circle
= ( 22 / 7 ) x 5 x 5
= 3.14 x 25
= 78.5 cm²
Area of shaded region
= ( Area of square ) - ( Area of circle )
= 324 - 78.5
= 245.5 cm²
what is the answer to 3:13 of 18
Answer:
I'm guessing you meant 3/13 of 18.
In that case, the answer would be 4.2 rounded to the nearest tenth (the actual answer is 4.15384615)
Sorry if this isn't the answer you were looking for.
Based on the table, how much more money would a person with a bachelor's degree earn than a person with an associate's degree over a 30 year career?
A) $16,000
B) $480,000
C) $1,095,000
D) $1,575,000
Answer:
B) $480,000
Step-by-step explanation:
Annual salary of a person with associate's degree
= $36,500
Over a 30 year career the person would earn;
= 30 × 36500
= $10,95,000
Now, annual salary of a person with bachelor's degree = $52,500
Over a course of 30 years he would earn;
= 30 × 52500
= $15,75,000
Difference = $15,75,000 - $10,95,000 = $480,000
So the person with bachelor's degree would earn $480,000 more than a person with associate's degree.
Please Help Jane has 10 cards Jane is going to make a row containing four cards how many unique ways can she ordered the row
it will be 151200 is the anwser
There will be a total of 5040 unique ways to make arrangements of 4 cards out of 10 so option (A) will be correct.
What are permutation and combination?When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
Given the 4 cards arrangement out of 10
npr = n! /(n-r)!
Here n = 10 , r = 4
10p4 = 10! /(10-4)!
10p4 = 10 × 9 × 8 × 7 × 6! /6!
10p4 = 5040
So there will be a total of 5040 ways to arrange the cards.
For more about permutation and combination,
https://brainly.com/question/13387529
#SPJ5
please help, does anyone know the answer to this?
Answer:
500
Step-by-step explanation:
Please help me so difficult
Answer:
it's easy
Step-by-step explanation:
See the triangle is having 2 sides equal so it is isosceles but not equilateral..
hope it helps
Answer:
This is an isosceles triangle because two sides are of equal length, and one side is a different length.
Step-by-step explanation:
Brenda went to the store 30 times last
month. She buys 4 cards each time she goes
to the store. How many cards did Brenda
buy last month?
Answer:
7.5
Step-by-step explanation:
Find the volume of the figure please.
Answer:
volume=90 sq m
Step-by-step explanation:
v=Ab×h
v=1/2(10)(3.6)×5
v=90 sq
hope it helps
For the sum, find the number of terms, the first
term, and the last term. Then evaluate the
series. If necessary, round to 1 decimal place. If
your answer includes a negative, enter it like: -2,
etc.
Σ" (20 – η)
Number of terms:
Find the measures of the numbered angles in each isosceles trapezoid.
B2
A1
55°
c3
D55
Blank # 1
Blank # 2
Blank # 3
Answer:
here you are
Step-by-step explanation:
blablabla blablabla
Please help me complete this. And please do not guess
Answer the following questions:
1. Find the scale factor of ABCDE to VWXYZ.
2. Find the scale factor of VWXYZ to ABCDE.
3. Find the value of r.
4. Find the value of s.
5. Find the value of t.
6. Find the value of u.
7. Find the perimeter of ABCDE.
8. Find the perimeter of VWXYZ.
9. Find the ratio of the perimeter ABCDE to the perimeter of VWXYZ.
Answer:
1. 1/3
2. 3
3. 9
4. 13.5
5. 7
6. 5
7. 23.5
8. 70.5
9. 1:3
angelique wants to find out how students in her class travel to school . design a question for her to find this data. include response boxes
Answer: Each box will have different ways of how students come to school
Step-by-step explanation:
1st box= who comes to school by a car
2nd box= who comes to school by public transport
3rd box= who walks to school
4th box= who rides a bike to school
5. Chante was very cold. She wanted to wear her new jacket with the pink
flowers on it. Her mother said that it was negative seven degrees Celsius
but that it was going to be eleven degrees Celsius by afternoon. How many
degrees would the temperature have to rise to reach eleven degrees
Celsius? Convert 11 degrees Celsius to Fahrenheit.
Step-by-step explanation:
To find how many degrees the temperature would have to rise you need to do 11 - (-7) which is equal to 18. So the temperature rose 18 degrees.
To convert Celsius to Fahrenheit you need to do
(C * 9/5) + 32. In this case it would be (11 * 9/5) + 32 which results in 51.8 degrees Fahrenheit.
Please help! I’ll make you brainliest
Answer:
w = 21
Step-by-step explanation:
Given that,
game 1 game 2
Points 12 18
Shots 14 w
One proportion is : [tex]\dfrac{12}{14}=\dfrac{6}{7}[/tex]
Other proportion is : [tex]\dfrac{18}{w}[/tex]
So,
[tex]\dfrac{6}{7}=\dfrac{18}{w}\\\\w=\dfrac{7\times 18}{6}\\\\w=21[/tex]
So, the value of w is equal to 21.
Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.
Answer:
The answer is "[tex]m=4(25)+2(5)\\\\[/tex]".
Step-by-step explanation:
Please find the complete question in the attached file.
A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs.[tex]\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}[/tex]
-1/2(-3y+10) combing like terms
Answer:
3/2y - 5
Step-by-step explanation:
Find the slope of the line passing through the points (-7, 8) and (5, -7).
Answer:
m = -5/4
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
(-7 - 8)/ (5 - -7)
-15/12
-5/4
question shown in pic attached!
Answer: <B= 101, <C= 79, <D=101
Step-by-step explanation: all parallelograms have the diagonal angles equal so that is why <c=79. Parallelograms also have all angles equal to 360. so if you add <C, and <A you have 158. then you subtract that from 360 and you get 202. You then need to divide it by to to get the measures of angles B and D which are 101 each.
simply the expression 2(10)+2(x+4)
Step-by-step explanation:
2(10)+2(x+4)
20 + 2x + 8
20 +8 +2x
28+2x
7. Find the area of PQRS.
S(-4,5)
R(7,-1)
P-4,-34
Q(7,-9)
Which of the following values satisfy the inequality shown? You must select all that apply.
−4x ≤ −16
A. 4
B. -1
C. 12
D. -5
E. 0
F. 9
Answer:
A , C , F
Step-by-step explanation:
hello :
put this values in −4x ≤ −16 :
x=4 : −4(4) ≤ −16 means : -16≤ −16........true
x=-1 : −4(-1) ≤ −16 means : 4≤ −16........false
x=12 : −4(12) ≤ −16 means : -48≤ −16.......true
x=-5 : −4(-5) ≤ −16 means : 20≤ −16........false
x=0: −4(0) ≤ −16 means : 0≤ −16........false
x=9 : −4(9) ≤ −16 means :-36≤ −16.......true
plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equation: 2x + 1 = 9x - 13
There are two chairs in each row.
Step-by-step explanation:
Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.
2x + 1 = 9x - 13
What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...
2x + 1 - 9x = -13
Now, combine -9x and 2x to get -7x.
-7x + 1 = -13
Now subtract 1 from both sides. This is done so we solve for x directly.
-7x = -13 - 1
Subtract -1 from -13 to get -14.
-7x = -14
Now divide both sides by -7.
x = -14/-7
Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!
x = 2
With that, the equation is solved. There are 2 chairs in each row.
Write the equation of the line that passes through the points (−3, 5) and (2, -10) in slope-intercept form.
Answer:
[tex]y=-3x-4[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (−3, 5) and (2, -10)
[tex]m=\frac{-10-5}{2-(-3)}\\m=\frac{-10-5}{2+3}\\m=\frac{-15}{5}\\m=-3[/tex]
Therefore, the slope is -3. Plug -3 into [tex]y=mx+b[/tex] as m:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b
[tex]5=-3(-3)+b\\5=9+b[/tex]
Subtract 9 from both sides
[tex]5-9=9+b-9\\-4=b[/tex]
Therefore, the y-intercept is -4. Plug -4 into [tex]y=-3x+b[/tex] as b:
[tex]y=-3x-4[/tex]
I hope this helps!
I really need help and if I don't get this done by today I am going to get a zero https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment1.pdf pls help I am going to cry
Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.
Step-by-step explanation:
7-4 pls help pleasssssssssssssssse
Answer:
for what subject?
geometry
trig
algebra
Answer:
I think it's 3 but maybe ask your teacher to check :o
Step-by-step explanation: