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.
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:
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.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
N
Step-by-step explanation:
Answer:
n
Step-by-step explanation:
PLEASE HELP QUICK!!
what is the slope of this line?
I think it might be D
Which of the following is the slope in the function f(x) = 5x - 2?
Answer:
5/1
or 5x
is the slope
brainliest please :)
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!
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! :)
Which two integers is square root 44 between?
Answer:6 and 7
Step-by-step explanation:
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.
help 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]
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.
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
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.
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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.
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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]
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]
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]
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.)
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
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
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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
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
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
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]
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.
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
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
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-guessFind 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
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)