Answer:
[tex] - 3( - 10) \\ = + 30[/tex]
Step-by-step explanation:
- and - =+
that's why when we multiply -3 with -10 then product is positive i.e +30
hope it helped you:)
thanks!
Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Answer:
The correct option are;
f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative
Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
Step-by-step explanation:
For the equations f(x) = x² - 4 and g(x) = x - 3, we have;
(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5
At x = 2, we have;
(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3
Similarly, we have;
(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7
At x = 2, we have;
(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3
Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;
a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative
(f ο g)(2) = (g ο f)(2)
Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
(f ο g)(x) = f(g(x)) = 4·x²
(f ο g)(x) = 4·x²
(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²
(g ο f)(x) = 16·x²
∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²
(f ο g)(x) ≠ (g ο f)(x) the function is not commutative.
Answer:
DGiven f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
a = cost of one adult’s ticket to the zoo, a-4= cost of one childrens ticket to zoo, 2a + 4(a - 4)=38. write a word problem.
HOW DO I SOLVE IT..PLZZ HELP ME OUT
Answer:
help you solve what if you need help finish the question
10. a? = 3,600
algebra solve each equation
Answer:
a=360
Step-by-step explanation:
3600 divided by 10 is 360
Please help. Choose the answer that makes the sentence true. (Blank)rational numbers are real numbers. A. All B. Some C. No
can 1.33 be 1.3? i need help quick please!?
Answer:
yes it can be
Answer:
Step-by-step explanation:
1.33 and 1.3 are not the same, although they share the digits 1.3.
1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.
So: 1.33 and 1.3 are in the same ball park, but are not the same.
helpppp MEEE!!!! Helpp
Answer:
For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)
Step-by-step explanation:
The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.
Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of
sunglasses. Which is the best estimate for the amount of money Megan has left?
O A. $12
B. $16
C. $20
D. $24
the answer is B. $16.00 because when you do the math it comes up to 15.98
$6 is left with Megan.
What is an equation?An equation is a mathematical statement with equality sign in between two mathematical expressions.
How to solve the problem?Suppose she is left with $x.
Then as per the question
$45.12=$21.25+$7.89+$x
⇒$x=$15.98≈$16
Hence, Megan is left with $16.
Learn more about equations from- https://brainly.com/question/10413253?referrer=searchResults
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The figure below shows a rectangular parking lot.
67 yd
86 yd
What’s the perimeter
Answer:
306 yd
Step-by-step explanation:
[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]
Hope this helps.
Evaluate the expression for the given values.
MX- y when m=5, X = 3, and y=8
Enter your answer in the box
I NEED HELP
Answer:
mx-y=7
Step-by-step explanation:
mx-y
5*3-8
15-8=7
Solve the equation m2 = 14
Answer: m = 7
7 x 2 = 14
idk anymore
Steps to solve:
m² = 14
~Take the square root of both sides
√m² = √14
~Simplify
m = ±√14
Best of Luck!
find f(1/4)
if f(x)=4x^2-2/3x
please guys explain it to me I cant understand it
Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
When cubing a number, you have to...
Answer:
multiply the number its self 3 times , for example 3x3x3=27 = 3^3
Step-by-step explanation:
Answer:
you have to multiply the number by itself 3 times
Step-by-step explanation:
can i get brainliest? i only need 2 more
you and some friends have raised $250 to help make a video for a contest. You need $35 to buy video tapes. It costs $45 per day to rent the video camera for the first day and $30 for each additional day. Write an inequality to find the possible numbers of days you can rent the video camera.
Answer:
80 + 30 n ≥ 250
Number of days = 5
Step-by-step explanation:
Given:
Total money = $250
Video tape cost = $35
1st day for camera ranting = $45
Additional daily cost = $30
Find:
Inequality
Number of days
Computation:
Assume number of days = n
So,
35 + 45 + 30 n ≥ 250
80 + 30 n ≥ 250
30 n ≥ 170
n = 5 days
Number of days = 5
Round 17.834 to the nearest tenth. Your answer
Answer:
Hey there!
17.834 rounded to the nearest tenth is 17.8
Let me know if this helps :)
2,4,6,8... arithmetic
Answer:
Yes, it is an arithmetic Sequence. Can you explain the question just a tad more
Step-by-step explanation:
A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction
Answer:
Yes, we agree with her prediction.
Step-by-step explanation:
Given:
Number of sample student = 60
Number of total student = 600
Number of student plan to go college = 675
Sample of student plan to go college = 75%
Find:
Prediction is correct or not
Computation:
Number of student plan to go college in sample = 60 × 75%
Number of student plan to go college in sample = 45
Number of student plan to go college = Number of student plan to go college in sample [900 / 60]
Number of student plan to go college = 45[900 / 60]
Number of student plan to go college = 45[15]
Number of student plan to go college = 675
So,
Yes, we agree with her prediction.
An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?
Answer:
28 tickets were purchased
Step-by-step explanation:
47. There are 1.7 grams of fat in a
serving. How many grams of fat
are in 0.8 servings?
A 13.6 grams
B 2.13 grams
C 1.36 grams
D 1.26 grams
Answer:
C. 1.36
Step-by-step explanation:
1.7 * 0.8 = 1.36
since there is not a whole serving it's less than 1.7
3x+x+4=-20 show work
Answer:
-6
Step-by-step explanation:
3x+x+4=-20
4x+4=-20
4x=-24
x=-6
If it is raining then I will need an umbrella
Answer:
yes
Step-by-step explanation:
so you don't get wet
22-3 (x-70) = x+20
please help
Answer:
x = 53
Step-by-step explanation:
22 - 3 ( x - 70 ) = x + 20 Multiply out
22 - 3x + 210 = x + 20
22 + 210 - 3x = x + 20
232 - 3x = x + 20
232 - 3x + 3x = x + 3x + 20
232 = 4x + 20
232 - 20 = 4x + 20 - 20
212 = 4x
212/4 = 4x/4
212/4 = x
x = 53
Answer:
Step-by-step explanation:22-3(x-70)=x+20
22-3x+210=x+20
22+210-3x+3x=x+3x+20
232=4x+20
4x=232-20
X=53
sry but hop now it's correct
hope that it's correct.plz comment on box if it's incorrect
plz help need to finish by 12:00 am
30.
[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]
31.
[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]
32.
[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]
33.
[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]
Please solve this questions step by step
Answer:
I am not solving the questions from 1 to 8 , as they are only simple addition questions.
Answer:
Step-by-step explanation:
Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours 3.0 hours 4.0 hours
Answer:
A) on edge2020
Step-by-step explanation:
The greatest amount of time when they worked together is 2.4 hours.
What is algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Randy at most 4 hours to clean the offices.
Trey at most 6 hours to clean the offices.
If they work together, they will clean
1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together.
Thus,
5*x/12=1
5x=12
x= 12/5
x= 2.4 hours.
Learn more about this concept here:
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State the corresponding sides and angles.
Answer:
in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
Write the improper fraction as a mixed number in simplest form 23/6
Answer:
3 5/6
Step-by-step explanation:
Step 1:
23/6 = 3 5/6
Answer:
3 5/6
Hope This Helps :)
Answer:
3 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You multiply 6 and 3 and add 5. It will give you [tex]\frac{23}{6}[/tex]
105 centimeters to meters 105 centimeters= __m. _________
Answer:
1.05 meters
Step-by-step explanation:
To convert centimeters to meters, we need to divide the number by 100.
So 105/100= 1.05
Answer:
105 cm = 1.05 m
Step-by-step explanation:
For this problem, it is important to know metric conversions. Metric conversions are based on powers of ten. The prefix centi- means 100 (Like how a century is 100 years), and in the metric system is used to represent one-hundredths.
To convert 105 centimeters to meters, we need to divide by 10^2 or multiply by 10^-2 (both are the same).
So we can say the following:
105 cm * 10^-2 = 1.05 m
Hence, 105 centimeters is 1.05 meters.
Cheers.
Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
87 11/14
Step-by-step explanation:
1,229 ÷ 14
It can also be written as
1,229 / 14
14 in 12 is not possible
14 in 122 is 8 remainder 10
The 10 remaining + 9 in the the given expression
14 in 109 is 7 remainder 11
The answer is 87 11/14
87 whole number 11 over 14
1,229 / 14 = 87 11/14
Help please what is 50x+25x-10y
Steps to solve:
50x + 25x - 10y
~Combine like terms
75x - 10y
Best of Luck!
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]
Step-by-step explanation:
[tex]50x+25x-10y[/tex]
Let's simplify this. First, we will combine the like terms.
[tex]50x+25x-10y[/tex]
Let's add parenthesis.
[tex](50x+25x)+(-10y)[/tex]
This equals to:
[tex]75x+-10y[/tex]
Hope this helps!