Answers
Answer:
Step-by-step explanation:
Given functions are,
f(x) = [tex]\sqrt{x} +3[/tex]
g(x) = 4 - [tex]\sqrt{x}[/tex]
22). (f - g)(x) = f(x) - g(x)
= [tex]\sqrt{x}+3-(4 - \sqrt{x} )[/tex]
= [tex]\sqrt{x} +3-4+\sqrt{x}[/tex]
= [tex]2\sqrt{x}-1[/tex]
Domain of the function will be [0, ∞).
23). (f . g)(x) = f(x) × g(x)
= [tex](\sqrt{x}+3)(4-\sqrt{x} )[/tex]
= [tex]4(\sqrt{x}+3)-\sqrt{x}(\sqrt{x}+3)[/tex]
= [tex]4\sqrt{x} +12-x-3\sqrt{x}[/tex]
= [tex]-x+\sqrt{x}+12[/tex]
Domain of the function will be [0, ∞).
Related Questions
How do I solve this problem?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Short answer: to solve this problem, follow directions.
a. Write the inequalitiesLet c and p represent numbers of cakes and pies produced daily. Then the constraints are ...
2c +3p ≤ 108 . . . . . . . . available hours of preparation time
1c +0.5p ≤ 20 . . . . . . . available hours of decoration time
p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced
__
b. Sketch the feasible regionIt works well to let a graphing calculator do this.
The feasible region is the doubly-shaded area with vertices ...
(0, 0), (0, 36), (3, 34), (20, 0)
__
c. Write the profit functionProfit is $25 per cake and $12 per pie, so is ...
p = 25c +12p
__
d. Determine maximum profitThe attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.
The maximum profit is $500 per day for production of 20 cakes.
_____
Additional comment
We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.
As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.
4. In preparation for the storm, Mike has printed out some flyers
advertising that he will shovel snow for $15 per hour. Mike also will
charge a minimum of $10.
a. Write an equation to find the total amount charged, y, after x
numbers of hours shoveling snow.
Answers
Answer:
y = 10 between 0 and 1
AND
y=15x for x>=1
Step-by-step explanation:
This has 2 segments. One when 0 < x < 1 (y=$10), and one when x >= 1 (y=$15x)
So
y = 10 between 0 and 1
AND
y=15x for x>=1
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answers
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answers
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
find the measure of y.
options:
86°
102°
130°
122°
Answers
Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
Solve the following literal equation for b.
cb + db = a
Answers
Step-by-step explanation:
[tex]cd + db = a \\ b(c + d) = a \\ \frac{b(c + a)}{a + b} \\ b = \frac{a}{c + d} [/tex]
Answer:
The other answer is correct
Step-by-step explanation:
Cassie has 28 days to complete a packet. The packet has 150 questions in it.
How many questions a day would she need to answer to get it completed in the time frame?
Answers
Answer:
6 questions
Step-by-step explanation:
Take the total number of questions and divide by the number of days
150/28
5.357142858
You would need to round up to make sure that the packet is completed in time
6 questions
3% of what number is 1.86
Answers
Answer:
62
Step-by-step explanation:
Of means multiply and is means equals
.03 * n = 1.86
Divide each side by .03
.03n/.03 = 1.86/.03
n =62
Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h. She goes to the park to walk 2 miles on a Monday. How long will she take to walk 2 miles?
Answers
Answer:
12 minutes
Step-by-step explanation:
Given
[tex]s_1 = 10mi/h[/tex] --- walk speed
[tex]s_2 = 20mi/h[/tex] --- jog speed
[tex]d = 2\ miles[/tex] --- distance
Required
The time to walk the given distance
Time is calculated as:
[tex]Time = \frac{distance}{speed}[/tex]
In this case, the speed is the speed at which she walks.
So, we have:
[tex]Time = \frac{d}{s_1}[/tex]
Substitute known values
[tex]Time = \frac{2mi}{10mi/h}[/tex]
[tex]Time = 0.2hr[/tex]
Convert to minutes
[tex]Time = 0.2 * 60mins[/tex]
[tex]Time =12mins[/tex]
Simplify : -2a(a-d)+2a(2a-3D) pls help.
Answers
-2a(a - d) + 2a(2a - 3d)
(-2a * a) + (-d * -2a) + (2a * 2a) + (2a * -3d)
-2a^2 + 2ad + 4a^2 - 6ad
(4a^2 - 2a^2) + (2ad - 6ad)
2a^2 - 4ad
---The above expression is simplified, though not fully. The below expression is fully simplified.
2a(a - 2d)
Hope this helps!
How do I solve this problem? The trouble that I have is evaluating if 2^∞ or ∞³ is larger?
Answers
For large enough x, exponential functions like 2ˣ will always dominate a polynomial of any degree. This is to say the denominator will always be larger than the numerator (again, for sufficiently large x). So the limit in this case would be 0. (I'll leave a link in comments to a variety of answers regarding this detail.)
But if you've been introduced to L'Hopital's rule: we have
[tex]\displaystyle \lim_{x\to\infty}\frac{5x^3+10}{6\times2^x-1} = \lim_{x\to\infty}\frac{15x^2}{6\ln(2)\times2^x} = \lim_{x\to\infty}\frac{30x}{6\ln^2(2)\times2^x} = \lim_{x\to\infty}\frac{30}{6\ln^3(2)\times2^x} = \frac1\infty = 0[/tex]
if a car covers 82.5 km in 5.5L of gas, how much distance will it cover in 13.2L of gas?
Answers
Answer:
198 KM
Step-by-step explanation:
82.5KM/5.5L= 15KM per liter
13.2 x 15 = 198 KM
Also the same as the other problem
Answers
Answer:
30-60-90
Step-by-step explanation:
A 30-60-90 triangle is a right angled triangle
Please mark it as brainliest if it helped
Answered by Gauthmath
Answer:
A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].
Step-by-step explanation:
A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,
The side; Angle it's opposite to;
[tex]x[/tex] 30
[tex]x\sqrt{3}[/tex] 60
[tex]2x[/tex] 90
Bài 1: Có tất cả bao nhiêu giá trị của m nguyên để hàm số:
y = x8 + (m - 2)x5 - (m2 - 4)x4 + 1 đạt cực tiểu tại x = 0?
Answers
Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how many bags do you get?
Answers
Answer:
40*8.5=340
6*90=540
total=880/2.5=352bags
Two thirds of the students in a class have pets. There are
36 students in the class. How many of the students have pets?
Answers
Answer is - 24
I did 2/3x 36 =24
24 of the students have pets
Step-by-step explanation:
Two thirds of the students in a class have pets =
2/3 of the students in a class have pets
If there’re 36 students in the class, how many of the students have pets?
Step 1. Convert 2/3 as a decimal
2/3 = 66.6
Step 2. Use part/whole = part/whole
66.6%/100% = ?/36
Let ? represent the amount of students who have pets in class
Step 3. Divide 66.6/100
0.666
Step 4. Then multiply it by 36
24
••••••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!
A rectangle has a length 3 times as long as its breadth, and it has a perimeter of 152cm. What is it's length?
Answers
Answer:
Maybe length iss= 27 cm.
Someone please helppp
Answers
Answer:
Option B is the right answer.
Step-by-step explanation:
x ^2 -7x+12 = (x-4)(x-3)
so, if we put x=3 or 4 than it will be undefined. hope u understand.
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.
Answers
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
8w + 19 - 4w = -5? What is the value of w?
Answers
Answer:
4w = -5-19
4w=-24
w=-6
hope that answers your question
good luck
what is the ordered pair to (-4,2)
Answers
Answer:
(1,2) is ordered pair to (-4,2).
Step-by-step explanation:
(1,2)
hora khoi thaha vayena hai
10-7+12 dived (2^3-6) hope you can answer
Answers
Answer:
The answer is 7.5
Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs
Answers
Answer:
Mr Mohapi is selling cheaper chairs
Step-by-step explanation:
Find the cost per chair from both prices by dividing the total price by the number of chairs:
22500/500
= 45
9600/200
= 48
So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.
Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.
Mr Mohapi is selling cheaper chairs.
x^2-y^2+z^2-2xz+2y-1
Answers
Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]
A construction crew is completing about 40 yards of a new highway each day. At this rate, how long will it take them to complete a stretch of 1.6 miles? Round your answer to the nearest tenth if necessary
Answers
Answer:
70 days
Step-by-step explanation:
that is the procedure above
please help i’ll mark brainliest
Answers
Answer:
x=0
x=6
x=-1
Step-by-step explanation:
x(x^2-5x-6)
x(x-6)(x+1)
x=0
x=6
x=-1
Help me pls
Find the missing segment in the image below
Answers
Answer:
The answer is 12
Step-by-step explanation:
You see its because.
Answer:
?=12
Step-by-step explanation:
Using the Thalès's theorem:
[tex]\dfrac{6}{6+4}=\dfrac{?}{20} \\\\?*10=6*20\ (cross\ products)\\\\?=\dfrac{6*20}{10} \ dividing\ by\ 10\\\\?=12[/tex]
The baseball team has a double-header on Saturday. The probability that they will win both games is 34%. The probability that they will win the first game is 75%, What is the probability that the team will win the second game given that they have already won the first game?
A. 45%
B. 74%
C. 90%
D. 26%
Answers
Answer:
A. 45%
Step-by-step explanation:
34/75=45 = 45%
Hai giá sách có 450 cuốn sách .Nếu chuyển 50 quyển từ giá thứ nhất sang giá thứ hai thì số sách ở giá số hai sẽ bằng 4/5 số sách ở giá thứ nhất ?Tính số sách ở mỗi giá.
Answers
Step-by-step explanation:
hơi khó hiểu thông cảm UwU
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0,5), (-5, 7)}
O {x | x = -5, 4, -2, 0, 2}
{yly = -9, -3, 0, 5, 7}
{x | x = -9, -5, 4, -3, -2,0, 2, 5, 7}
{yl y = -9, -5, 4, -3, -2, 0, 2, 5, 7}
Answers
9514 1404 393
Answer:
(b) {yly = -9, -3, 0, 5, 7}
Step-by-step explanation:
The range is the set of y-values in the ordered pairs. It is usually convenient to list a set in alphanumeric order.
The second values of the ordered pairs are 0, -3, -9, 5, 7. So, the range is ...
y ∈ {-9, -3, 0, 5, 7} . . . . . matches the second choice
