Answers
9514 1404 393
Answer:
[-4,3]
Step-by-step explanation:
The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.
The left dot is at x=-4; the right dot is at x=3, so the domain is ...
[-4,3]
Related Questions
The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
age of Sherwin. Find their present age.
Answers
Answer:
In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x dollars per unit. Which of the following statements best interprets the average rate of change of this function from x = 50 to x = 55?
The profit increases by $375 for every $1 increase in the selling price.
The profit decreases by $375 for every $1 increase in the selling price.
The profit increases by $1875 for every $1 increase in the selling price.
The profit decreases by $1875 for every $1 increase in the selling price.
Answers
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:
[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)
Now we evaluate the function at each bound:
x = 50
[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]
[tex]P(50) = 11[/tex]
x = 55
[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]
[tex]P(55) = 9.125[/tex]
Then, the average rate of change is:
[tex]r = \frac{9.125-11}{55-50}[/tex]
[tex]r = -0.375[/tex]
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.
The profit function is given as:
[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]
Calculate P(x), when x = 50.
So, we have:
[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]
[tex]P(50) = 11[/tex]
Calculate P(x), when x = 55.
So, we have:
[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]
[tex]P(55) = 9.125[/tex]
The average rate of change from x = 50, to 55 is then calculated using:
[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]
So, we have:
[tex]m = \frac{9.125 - 11}{55-50}[/tex]
[tex]m = \frac{-1.875}{5}[/tex]
Divide
[tex]m = -0.375[/tex]
The function is in 1000 units.
So, we have:
[tex]m = -0.375\times 1000[/tex]
[tex]m = -375[/tex]
-375 implies a decrease of $375 for every $1 increase in sales
Hence, the correct statement is (b)
Read more about average rates at:
https://brainly.com/question/8728504
In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.
Answers
Answer:
39.9°
Step-by-step explanation:
m∠C = β
sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°
Answer:
39.9
Step-by-step explanation:
sinC=
sin C = \{52}{81}
sinC=
81
52
C=\sin^{-1}{52}{81})
C=sin −1 ( 81 /52 )
C=39.9393\ 39.9^
C=39.9393≈39.9∘
4x =64 find x in exponential equations
Answers
Answer:
X=16
Step-by-step explanation:
4/64
x=16
Will give brainlist. I need help.
Answers
Answer:
6
Step-by-step explanation:
2x6 and then you divide by 1/2 it's just simple math
Answer:
6
Step-by-step explanation:
the formula is base times height times 1/2. The base is 6 the height is 2. Thats 12. Then divide it by (or multiply by 1/2) to get 6:)
Find the slope I’m sorry I need help with this one I’m finding the answer but don’t understand it sorry
Answers
whats the answer to this I need this asap
will give brainliest
Answers
Answer:
I think is C
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
REALLY SORRY IF IM WRONG
In the 48 years between 1842, the average rate of erosion at horseshoe falls was 33 divided by 50 metre per year. In the 22 years between 1905 and 1927 the rate of erosion was 7 divided by 10 meter per year . Approximately how much total erosion occurred during these two time periods
Answers
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 meters
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 metersStep-by-step explanation:
Guessing the initial of a students middle name
Answers
Answer:
1/26
Step-by-step explanation:
Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true? Trevor is planning to use at least a 100 minutes for local a month. Which company would be cheaper for Trevor to use?
Answers
Answer: Trevor's argument will be true if he used 100 minutes.
Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.
Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is
32.25 + 0.11x
Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is
14.25 + 0.32x
For both costs to be the same, the number of minutes would be
35.25 + 0.11x = 14.25 + 0.32x
0.32x - 0.11x = 35.25 - 14.25
0.21x = 21
x = 21/0.21 = 100
Step-by-step explanation:
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes?
Answers
Answer:
4800
Step-by-step explanation:
3000\5=600
600*8=4800
A store sells mugs. Each mug cost the same amount.
Answers
Answer:
nobody won't be able to answer this without some more details.
Answer:
that's nice
Step-by-step explanation:
if u actually need help ask this question again or put the whole question in the comments section
ur welcome
Simplify:
3p+2p-p
Please help ASAP !!
Answers
Answer: 4 P
Step-by-step explanation: hope this helps!
The solution of the given expression 3p+2p-p will be 4P.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given expression is 3p+2p-p. The expression will be simplified as:-
E = 3p+2p-p
Add the values 3p and 2p first.
E = 5p - p
Subtract p form 5p.
E = 4p
Therefore, the solution of the given expression 3p+2p-p will be 4P.
To know more about an expression follow
https://brainly.com/question/17520957
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A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
Answers
Add 1
y = 3x + 7
B. 3y + 6 = x - 1
Subtract 6, then divide by 3
3y = x - 7
y = 1/3x - 7/3
C. y - 2 = 1/3x + 1
Add 2
y = 1/3x + 3
D. y + 1 = 3x - 6
Subtract 1
y = 3x - 7
When put on a graph, D passes through (2, -1)
Answer is D.
"Samuel spent $16 for 4 erasers and 2 pencils. Alva spent $10.50 for 3 erasers and 1 pencil. How much do 5 erasers and 3 pencils cost?"
Answers
Evaluate each value expression for the given value of the variable : 33-7w +6 when w=4
Answers
Answer:
11
Step-by-step explanation:
33-(7*4)+6
33-28+6=11
Algebra 1
Solve for n.
-1 sn + 12 < 19
Write your answer as a compound inequality with integers.
Answers
Answer:
i think the answer is -7/s
Step-by-step explanation:
Let's solve for n.
(−1s)(n)+12<19
Step 1: Add -12 to both sides.
−ns+12+−12<19+−12
−ns<7
Step 2: Divide both sides by -s.
−ns
−s
<
7
−s
n>
−7
s
Answer:
n>
−7
s
Solve for the line, Thank you!
Answers
Explain
Which of the equations below represents a line parallel to the y-axis?
OA.
x=-Y
OB.
X= 4
O C. X= 4y
OD.
x= y
Answers
Explanation:
i need help what is the answer to this question
Answers
Answer: D
Step-by-step explanation:
90 POINTS! PLEASE HELP!
Select the correct answer What is the solution for x in the equation 5/3 * x + 4 = 2/3* x Ο Α x = 12/7 OB B. x = -4 OC 12/7 OD x = 4
Answers
x=-4 hope it helps! good luck
Estimate. 3 × 92 what is the answear
Answers
Answer:
276
Step-by-step explanation:
Answer:
276
Step-by-step explanation:
do 90×3, which is 270, then 2×3, which is 6 then adds them to get 276
-11/16 what is that lol i’m so lost
Answers
-11/16 = -0.6875
What part are you lost on, do you want me to teach you how to divide them?
Answer:
-0.6875
Step-by-step explanation:
-11/16 = -0.6875
(positive and negative numbers multiplied/divided give a negative number)
Please help meeee :)))))
Answers
can anyone help me please!! i dont get it (explain too)
MARKING BRAINLIEST
Answers
Answer:
i=
Step-by-step explanation:
Find the value of a. The diagram is not to scale.
Answers
Answer: B. a = 144 degrees
Step-by-step explanation:
180=36+a
144=a
Step-by-step explanation:
hope it's obvious both the reason is being cointerior angle
plz follow me
which equation represents a line which is parallel to the line y=-3x-1
Answers
I hope help for you ......
Answer:
x=
[tex] - \frac{1}{3} [/tex]
Mike wants to put 150 square feet of artificial turf in his front yard. This is the maximum area
of artificial turf allowed by his homeowners association. He wants to have a rectangular area
of turf with length one foot less than 3 times the width. Find the length and width. Round to
the nearest tenth of a foot.
Answers
Answer:
Step-by-step explanation:
Area of the rectangular area = Length * width
A = LW ...... 1
If he wants to have a rectangular area of turf with length one foot less than 3 times the width, then
L = 3W - 1 ...... 2
Substitute 2 into 1
A = (2W-1)W
A = 2W^2 - W
Since area = 150sq.ft
150 = 2W^2 - W
2W^2 - W - 150 = 0
Factorize
2W^2 - W - 150 = 0
W = 1±√1+4(300)/2(2)
W = 1±√1201/2(2)
W = 1±34.655/4
W = 35.655/4
W = 8.91375
W = 8.9 (to nearest tenth)
Get the length
L = A/W
L = 150/8.9
L = 16.85
L = 16.6ft
Hence the length is 16.6ft and the width is 8.9ft
Which of the following transformations is the only one that can change the lengths of its sides but remain similar??
A) Translation
B) Rotation
C) Reflection
D) Dilation
Answers
Answer:
D
Step-by-step explanation:
It is dilation because transformation is moving and sliding, rotation is spinning, reflection is a mirroring of the shape upon a certain line or axis, and dilation is the change in size leaving 1 point the same.
What is accounting? What is the role of accounting in values?
Answers
Answer:
Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."
Answer: Accounting is the process of recording financial transactions pertaining to a business.
Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.