Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Answers
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
Related Questions
the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions
Answers
Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
ayuda con esto por favor
Answers
[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]
[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]
[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]
Hope it helps.
Do comment if you have any query.
Can you help me on this math questions. Correctly thanks.
Answers
1.
In this equation, 2x + 6 has to be greater than or equal to y. You must substitute each coordinate into the equation and evaluate to find the correct answer. In this case, the answers are (-10, -20) and (7, 14).
2.
Same goes for this problem. The answers are (11, -32) and (-6, -2).
3.
Since we are given the line equation, we just determine the operator to use. Because it is a dotted line, that means that the point on the line is not included, so we will use a regular <>. Because the space highlighted indicates that -10x - 6 will always be greater than y, the answer is y < -10x-6, or C.
4.
We are given the line equation here as well. Since the boundary line is not dotted, we include the values, meaning we use [tex]\leq \geq[/tex]. Since the highlighted space indicates that y is always greater than or equal to x-5, the answer is [tex]y\geq x-5[/tex], so the answer is B.
14) In triangle ABC angle A measures 68 degrees and angle B measures 72 degrees. If the measure of
angle C is (x+ 10) degrees. What is the value of X?
Answers
Answer:
x= 30°
Step-by-step explanation:
plzz plzz plzz mark as brainliest
Answer:
30°
Step-by-step explanation:
68 + 72 + x + 10 = 180
x + 150 = 180
x + 150 -150 = 180 -150
x = 30
Drake is an online sales representitve who makes $37,500 per year plus 6.75 for each fee sales he makes. if drake makes an avarage of 200 sales per month what are his annaual earnings?
Answers
Answer:
no hes not hes a rapper..........Jk the answer is 53700
Step-by-step explanation:
Step-by-step explanation:
1,350 a month
16,200 a year
Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?
Answers
Answer:
9 cups of apple juice
Step-by-step explanation:
pls help me with this
Answers
Answer:
6mm
Step-by-step explanation:
What would the slope of a line perpendicular to y=-4x+5 equal?
Answers
Answer:
Using the slope-intercept form, the slope is 4 4 .
Answer: Using the slope-intercept form, the slope is 4 4 .
Explanation: so your answer is 4 4.
chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men
Answers
Answer:
46875
Step-by-step explanation:
Men :Women = 5 : 8
Total parts = 5+8 = 13
Total number be x
[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]
Number of men = 121875 - 75000 = 46875
Will give brainly if correct
Answers
Hi,
1 mile ≈ 1,6 kilometers
a.
11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers
b.
46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers
c.
121 miles ≈ 121 * 1,6 = 193,6 kilometers.
→ * = multiplication
✅(. ❛ ᴗ ❛.)
what number is 5 times greater then 6
Answers
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
ab+4a-3b-12 = (b+4)(_____)
Answers
The inequality −3 < x is equivalent to the inequality x > −3.
Answers
Is this right?
Pic below! :D
Answers
Answer:
I Don't Think So
But ask your parents or your older brother or sisters
That looks right about those questions you were asking me the last part where you got 1.50 is a little confusing could you explain maybe how you got that but the right answer is there
What is the length of segment AB?
A-5
B-6
C-8
D-10
Answers
Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
ОО O
B. 8
C. -4
O
D. 4
Answers
Answer:
C -4
Step-by-step explanation:
f(2)= 4(2) - 12
f(2) = -4
simplify the ratio 6 : 10 : 22
Answers
Answer:
3:5:11
hope this helps u!!
Answer:
3 : 5 : 11
Step-by-step explanation:
6 : 10 : 22
Divide each term by 2
6/2 : 10/2 : 22/2
3 : 5 : 11
What is a^2 - 5b + the square root of c if
A= -3
B= 6
C= 16
Answers
Answer:
-21
Step-by-step explanation:
round 4,204 to the nearest hundred
Answers
Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
Choose the steeper line,
y=2x+8
or
y=4x+2
Answers
Hello!
y=4x+2 is the steeper line. The bigger the slope, the steeper the line.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]SilentNature[/tex]
What is the value of the expression m^4- 11 when m = 3? Use the number pad to enter your answer in the box.
Answers
Answer:
70
Step-by-step explanation:
m^4 - 11
when m = 3
3^4 - 11
81 - 11
70
help asap please needed
Answers
Answer:
it should be b
Step-by-step explanation:
if wrog please correct me also can u give me brainlist
Answer:
B
Step-by-step explanation:
63 should be your answer
Would appreciate Brainliest
Find the perimeter.Simplify your answer.
Answers
Answer:
20c+14
Step-by-step explanation:
To find the perimeter we have to add up all the sides
4c+6c+7+4c+6c+7
Combine light terms
20c+14
Answer:
Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,
6c+7+6c+7+4c+4c= 20c+14
20c+14 is the perimeter
Please help asap and please no links or answering just for points!! I’m already stressed :(
Answers
Answer:
let the number be x
wo a/q we have,
4x + 5 = 7
hope this answer helps you dear! take care
Which is bigger 12 cm or 102 mm
Answers
On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.
To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.
Now, the conversion factor cm and mm is
1 cm = 10 mm
Then, using the conversion factor convert 12 cm to mm
12 cm = 12 x 10 mm
= 120 mm
Now, compare 120 mm and 102 mm which gives 120 mm is greater.
Thus, 12 cm is greater than 102 mm.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ4
Evaluate the expression for b= 12
Answers
Answer:
-5
Step-by-step explanation:
substitute -b for -12 and add 7
how far does the object go
2 hours at 75km\h
Answers
Answer:
150 miles per hourStep-by-step explanation:
Objective: finding the distance
Formula: speed × time = distance
75 × 2 = 150
final answer: 150 mph
3x−7= Can you Guys help
Answers
Answer:
not sure
Step-by-step explanation:
Answer:
x= 7
3
Step-by-step explanation:
find x by making the subject of formula
3x=7x = 7 3Choose the steeper line.
y=1/2x-3
or
y=1/4x -8
Answers
Hello!
y=1/2x-3 is steeper than y=1/4x-8.
We calculate the slope using Rise/Run.
The rise is 1, and the run is 2 (how many units we move left of right)
If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8
Hope this helps!
~Just a cheerful gal
Answered by
[tex]SilentNature[/tex]
What is slope ? Help me please
Answers
Answer:
Step-by-step explanation:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.