Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
Is Scrooge a static or dynamic character? Explain your answer with examples from the story. Please be sure you do not use your book; only give examples from what you remember. Write at least three sentences.
Answer:
do u need help?
...uhmm...ok i will help u.....i-if t-thts o-ok with y-you i-guesshelp algebra 2 please
yung may dalawang one true answer promise
Answer:
Step-by-step explanation:
g(x) = -x² - x - 1 = -1(x² +x + 1)
[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]
Can someone please give me the (Answers) to this? ... please ...
I dentify the idlowing pairs. of angles.
1.<1 and <4
2.<1 and <5
3. <2 and <8
4.<4 and <5
5. <3 and <5
6.<3 and <6
7.<2 and <6
8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/
1 / 2
<————---———————>
3 / 4
5 / 6
<————————————>
7 / 8
ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,
ANSWERS:
1. Vertical
2. Corresponding
3. Supplementary
4. Alternate Interior
5. Co-Interior
6. Alternate Interior
7. Corresponding
8. Alternate Exterior
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
Find out more at: https://brainly.com/question/18563587
Find the value of y. Only type the "number."
Y = 5
The triangle is a right triangle so use the Pythagorean theorem:
Y = sqrt(3^2 + 4^)
Y = sqrt(9 + 16)
Y = sqrt(25)
Y = 5
F(x)=-x^2-12 to find (-3)
Answer:
[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]
Step-by-step explanation:
[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]
• When x is -3:
[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Answer:
the original price was $46.12
Step-by-step explanation:
if you add 5 back to that number.
if 3 people can build 12 sheds in 4 days, how long will it take for 5 people to build 15 sheds?
The amount of time it would take for 5 people to build 15 sheds is; 3 days.
Since, according to the question;
3 people can build 12 sheds in 4 days.In essence; By proportion 1 person can build 4sheds in four days.
We are required to determine how long it will take 5 people to build 15 sheds.
Therefore: for 1 person;
4 sheds ====4 days15 sheds ====15days.Therefore, it takes 1 person 15 days to build 15 sheds.
Ultimately, when the job is divided between 5 people; It takes 15/5 = 3 days to build 15 sheds.
Read more:
httpss://brainly.com/question/23459360
Which two integers is square root 44 between?
Answer:6 and 7
Step-by-step explanation:
PLEASE HELP QUICK!!
what is the slope of this line?
I think it might be D
Write the phrase as an expression. Then evaluate when x=5 .
the sum of a number x and 4, all divided by 3
Expression:
When x=5, the value of the expression is :
Answer:
[tex]\frac{x+4}{3}[/tex] ; 3
Step-by-step explanation:
In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.
The sum of a number x and 4, all divided by 3.
Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.
[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]
Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.
(5)+4
3
[tex]\frac{9}{3}[/tex]
9/3 gives you 3, so your answer would be 3.
Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)
A polygon is shown on the graph:
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.
Answer:
4 units left : subtract 4 from each x coordinate
3 units down : subtract 3 from each y coordinate
Step-by-step explanation:
Which of the following is the slope in the function f(x) = 5x - 2?
Answer:
5/1
or 5x
is the slope
brainliest please :)
Which of the following is most likely the next step in the series?
Answer:
C, because each time, the number of purple dots, or vertices increases by one..
2, 3, 4, ?..
the next would be five, which is C.
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
This is an isosceles triangle, so the missing side is also 3
x = [tex]\sqrt{3^2 + 3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
Simplify [tex]\sqrt{18}[/tex]:
18 = 2 x 3 x 3
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]
-Chetan K
Pleease please please help me! asap <3 30 points! pls make sure its right UwU thx im timed :(
The function f(x)is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
f(x) =
Answer:
f(x) = -x -1
Step-by-step explanation:
f(x) = mx + b
find 2 points on the line:
A( -1 , 0)
B( 0 , -1)
Put them in the equation and fine m & b:
0=m(-1)+b
-1=m(0)+b
so b= -1
and m= -1
so f(x) = -x-1
Answer:
-x - 1
Step-by-step explanation:
line is passing through (-1, 0) (0, -1)
m = (-1 - 0) / (0 - (-1) )
= -1 / 1
= -1
line equation = y - y1 = m (x - x1)
y - 0 = -1 (x - (-1) )
y = -1 (x + 1)
y = -x - 1
y = f(x)
In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970
B. 1969
Step-by-step explanation:
Hope it helped you! :) (Please correct me if I'm wrong.)
What is (-i)^3
A. -i
B. i
C. -1
D.1
Answer:
i
Step-by-step explanation:
=> -i³
=> (-1 . i )³
=> -1³ . i³
=> -1 [ i² . i ]
=> -1 [ (√-1)² . i ]
=> -1 [ -1 . i ]
=> i
Answer:
B: i
Step-by-step explanation:
Algebric explanation: as long as you remember power rules you should be good:
[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]
Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].
Polar explanation Courtesy of euler's identity.
[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]
Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days
do they need to clean 125 houses? ROUND UP THE FULL DAY.
is x to the second power plus y to the second power linear or non linear?
Answer:
No, but the reason depends. Pick the one that applies to the question.
Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.
Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.
Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.
PLS LOOK AT IMAGE . ACCURATE ANSWER=BRAINLIST
Jennifer's bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance.
f(x)=12x+45
William's bank account balances after weekly deposits are showing in the following table.
Part 1:How much money was in Jennifer's account when it was opened? Explain.
Part 2; After 10 weeks, how much money would William have in his bank account? To earn full credit, show your work.
Part 3: ennifer claims that her bank account is growing at a greater rate of change than William's bank account. Is Jennifer correct? Justify your reasoning.
or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x
Answer:
[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]
in the difference in altitude between 2,993 feet on a mountain peak and −428 feet on a valley floor
what is the difference in altitude per feet
Find the equation of the line perpendicular to [tex]-\frac{1}{2} x[/tex] and passing through the point (−6; 1).
⦿ Hi There! ⦿
Point-Slope form:
y-y1=m(x-x1)
y-1=m(x-(-6)
Perpendicular lines have slopes that are opposite reciprocals.
It means that if we have -1/2, we flop it over and make it positive.
So the slope of the new line is 2.
y-y1=m(x-x1)
y-1=2(x-(-6)
y-1=2(x+6)
y=1=2x+12
y=2x+12-1
y=2x+11
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
N
Step-by-step explanation:
Answer:
n
Step-by-step explanation:
PLZ HELP 500 POINTS. PLZ SHOW YOUR WORK + BRAINLIEST
Miguel's mother sells houses. She wants to buy a piece of land on which to build several houses. there are two lots for sale. one is a rectangular plot that is 3/8 of a mile by 2/3 of a mile. the other is a square plot that is 2/5 of a mile by 2/5 of a mile.
Part A
Which lot should Miguel's mother buy if she wants the biggest lot?
Part B
If the land in the area sells for 750,000 a square mile, how much should she expect to pay?
Answer:
A) She should buy the
Step-by-step explanation:
Part A:
For question A, we find the areas of both plots and see which one is greater.
For the first one, we do 3/8 * 2/3
[tex]\frac{3}{8} * \frac{2}{3} = \frac{6}{24} = \frac{1}{4}[/tex]
The area of the first plot is 1/4 square miles
For the second one, we do 2/5 * 2/5
[tex]\frac{2}{5} *\frac{2}{5} = \frac{4}{25}[/tex]
The area of the second plot is 4/25 square miles
We have 1/4 and 4/25.
To see which one is bigger, we make them have the same denominator, also known as the LCM (Least Common Multiple).
LCM(4,25) = 100
Now we make 1/4 have a denominator of 100
4 times what is 100?
25, so the numerator is 25 and the denominator is 100.
We get: 25/100
Now we make 4/25 have a denominator of 100
25 times what is 100?
4, so the numerator is 4 * 4 = 16 and the denominator is 100.
We get: 16/100
Now we can see which is bigger:
25/100 or 16/100
25/100 is bigger
Therefore, Miguel's mother should buy the plot with dimensions 3/8 and 2/3.
Part B
For part B, I'm not sure which plot of land she is going to pay for, so I will answer both.
We answered this in Part A already.
The 3/8 and 2/3 plot was 1/4 square miles and the 2/5 by 2/5 plot was 4/25 square miles.
Plot 1:
1/4 square miles
It said that it costs $750,000 for a square mile
This plot is 1/4 square miles, so we do
[tex]$750,000 * \frac{1}{4} = \frac{750,000}{4} = 187,500[/tex]
The cost for plot 1 is $187,500
Plot 2:
4/25 square miles
It said that it costs $750,000 for a square mile
This plot is 4/25 square miles, so we do
[tex]750,000*\frac{4}{25} = \frac{3,000,000}{25} = 120,000[/tex]
The cost for plot 1 is $120,000
So for the 3/8 by 2/3 plot, it cost $187,500 and for the 2/5 by 2/5 plot costs $120,000
ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!
ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!
What is the slope for (-6,4) and (2,12)
Answer:
1
Step-by-step explanation:
(-6,4) and (2,12)
slope = m = (y2 - y1) / (x2 - x1)
= 12 - 4 / 2 - (-6)
= 8/8
= 1
For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.
Answer:
C. a= -1, m=1
Step-by-step explanation:
hope i helped, have a great day :)
For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.
What are Asymptotes of a Function?There are asymptotes like horizontal, vertical and oblique asymptotes.
Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.
Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.
The given function is,
f(x) = [tex]\frac{2x^m}{ x + a}[/tex]
Horizontal asymptote of this function is at y = 2.
lim x → ∞ f(x) = 2
lim x → ∞ [tex]\frac{2x^m}{ x + a}[/tex] = 2
Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.
lim x → ∞ [tex]\frac{2x^m}{ x }[/tex] = 2
For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.
⇒ [tex]x^m[/tex] = [tex]x[/tex]
⇒ m = 1
Vertical asymptote of the function is at x = 1.
Let x + a = 0
⇒ 1 + a = 0
⇒ a = -1
Hence we get the values a = -1 and m = 1 for the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.
To learn more on Asymptotes, click :
https://brainly.com/question/4084552
#SPJ5
What is -3m + 5m = -14? With work provided
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
Seven times the sum of a number and 1 is 28. What is the number? Enter your answer in the box.
Answer:
3 + 1 * 7 = 28 I don't know if that's what you want but
Answer:
The answer is 3
Step-by-step explanation:
Ok so basicaly the equation is 7(x+1)=28
there really is no hard math involved. I did it pretty quick in my head.
28/7=4
4-1 = 3
so ya