Answer:
x>8
Step-by-step explanation:
[tex]- 6x+ 30 < - 18 \\ - 6x < - 18 - 30 \\ - 6x < - 48 \\ \frac{ - 6x}{ - 6} < \frac{ - 48}{ - 6} \\ x > 8[/tex]
Suppose that the price p (in dollars) and the demand x (in thousand of units) of a commodity satisfy the demand equation 6p+x+xp=94
How fast is demand changing when the price is set at $9 and the price is rising at the rate of $2 per week?
dx/dt
=
The demand is decreasing at the rate of _________units per week.
The demand is decreasing at the rate of 2units per week.
Given the price p (in dollars) and the demand x (in thousands of units) of a commodity satisfy the demand equation 6p+x+xp=94
Differentiating the function with respect to time will result in;
[tex]6\frac{dp}{dt}+\frac{dx}{dt} + x \frac{dp}{dt} + p\frac{dx}{dt} = 0[/tex]
Given the following paramters
p = $6
dp/dt = $2/wk
Substitute the given parameters into the formula to have:
[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0[/tex]
To get the demand x, we will simply substitute p = 9 into the expression to have:
6(9)+x+9x=94
10x+54 = 94
10x = 94 - 54
10x = 40
x = 4
Substitute x = 4 into the derivative to have:
[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 2(4) + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 8 + 9\frac{dx}{dt} = 0\\20 + 10\frac{dx}{dt} =0\\10\frac{dx}{dt} =-20\\\frac{dx}{dt} =\frac{-20}{10}\\\frac{dx}{dt} =-\$2/wk[/tex]
Hence the demand is decreasing at the rate of 2units per week.
Learn more here: https://brainly.com/question/11859175
In 20Pg how many choices are
there for the eighth batter for a
line-up of 9 out of 20?
A. 20
B. 14
C. 13
Answer:
13
Explanation-
It is 13 because it is the only one out of all of them that makes sense.
For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
In the given question,
In ²⁰ P ₉, the number of choices are to be found.
To find the choices,
Expand ²⁰ P ₉ by using a formula,
[tex]\rm ^nP_r = n!/(n-r)![/tex]
The number of choices
= 20!/ (20 -9)!
= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!
= 6.0949324 x 10¹⁰
The required number of choices are 6.0949324 x 10¹⁰.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
#SPJ2
The complete question is given below.
Create 2 equations that are equivalent to 3x - 12 = 24
Answer:
1st equation: 3(12) - 12 = 24
2nd equation: 36 - 12 = 24
Answer:
3(12) - 12 = 24
Step-by-step explanation:
ou have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.45 each and daffodil bulbs cost $0.65 each. Your budget allows you to spend $35.00 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy
9514 1404 393
Answer:
20 crocus40 daffodilStep-by-step explanation:
Let d represent the number of daffodil bulbs you buy. Then 60-d is the number of crocus bulbs. The total cost will be ...
0.45(60 -d) +0.65(d) = 35.00
27 +0.20d = 35
0.20d = 8 . . . . . . . . . subtract 27
d = 40 . . . . . . . . . . multiply by 5
60 -40 = 20 . . . . . crocus bulbs
You can buy 20 crocus bulbs and 40 daffodil bulbs for $35.
Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36
Answer: A 2-column table with 3 rows.
Step-by-step explanation:
O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?
Answer:
$4
Step-by-step explanation:
i know this because i passed collage last year
Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21
2 < x < 5
2 < x < 5
2 < x < 5
2 , <, x < 5
2 < x < 5
Answer:
2<=x<5
Step-by-step explanation:
first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.
Precalc please help!!
Answer:
Step-by-step explanation:
you’ll live 100 more years if you help me answer 1 through 5 :D!!!
Answer:
You need to give me a thanks and brainliest: 1. = 16 ; 2. = 100 ; 3. = 64; 4. = 604; 5. Cant see the problem in the screen shot.
Step-by-step explanation:
P= ?????????
Pls help and explain
Check the picture below.
Solve: (4x^2-3x+7)-(x^2+8x-5)
Given polynomial:
(4x²-3x+7) - (x²+8x-5)
⇛ 4x²-3x+7-x²-8x+5
⇛ (4x²-x²) +(-3x-8x)+(7+5)
⇛ (4-1)x²+(-3-8)x+12
⇛ 3x²+(-11)x+12
⇛ 3x²-11x+12
(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12Note:-
When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.
Read more:
Similar Questions
Simplify: (2n-3)/(6n-9) A) 3 B) 1 C) 1/3 D) 1/3n 2. Multiply: (4x+12)/(x^2-2x) × x/(6x+18) A) 2/(3(x-2)) B) 2/(x-2) C) 2/3 D) 4/x 3. Subtract: 8x/(x+1)- 3/(x+1)...
https://brainly.com/question/3597437?referrer
. 8x2 - 50 A) 2(4x - 5)(x - 5) B) 2(2x - 5)(2x - 5) C) 2(2x + 5)(2x + 5) D) 2(2x - 5)(2x + 5) 4) Which binomial is a factor of the polynomial? 3x2 + 7x + 2 A) (...
https://brainly.com/question/15823865?referrer
Answer:
[tex]3x^2-11x+12[/tex]
Step-by-step explanation:
First, distribute the negative:
[tex]4x^2-3x+7-x^2-8x+5[/tex]
Then combine like terms:
[tex]3x^2-11x+12[/tex]
Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?
Answer:
Your equation option is possibly in here somewhere.
Step-by-step explanation:
A = C - 2
B = A + 6 → A = B - 6
C - 2 = A = B - 6 → B = C + 4
44 = C + B + A
44 = C + (C + 4) + (C - 2)
44 = 3C + 2
42 = 3C
C = 7
Solve for x:
Spam: WHSIYWsugwediywedw
Answer:
um whats m or y?
Step-by-step explanation:
Answer:
[tex]x=3m+y[/tex]
Step-by-step explanation:
Let's solve for [tex]x[/tex].
[tex]m=\frac{x-y}{3}[/tex]
Step 1: Flip the equation.
[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]
Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.
[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]
[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]
Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].
[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]
[tex]x=3m+y[/tex]
Answer:
[tex]x=3m+y[/tex]
Decide where the first digit of the quotient should be placed without performing division The first digit of the quotient for 2,370 = 24 should be in the Choose... ones tens hundreds thousands
Answer:
tens place
Step-by-step explanation:
24 can't be into the thousands place or the hundreds place. hope this helps
Answer
hundredths place
Step-by-step explanation:
When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.
Here, when performing long division we compare ...
64 vs 1 . . . no quotient digit
64 vs 15 . . . no quotient digit
64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.
Ahh can someone helpppp
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
F=8
e=0.2
When F=25 find x
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
How do I point 11,7 on the coordinate plane
Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps
Step-by-step explanation: Identity the variable range .
Determine the scale of the graph.
Number and label each axis and title of the graph.
Show the positive and negative x-axis and y-axis
First , find the value of x on the x-axis . give x = 11 .
Find the value of y on the y-axis . given y = 7.
Mark the point x=11 in the positive x - axis
Mark the point y=7 in the positive y - axis,.
After this meet the points by the help of scale and write the co-ordinates.
For more details about graph plot click the link given below.
https://brainly.in/question/10164601
When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .
So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)
So we first go 11 units to the right along the -axis then go up 7 units along the -axis.
Hope this helped.
An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.
Answer:
18000
Step-by-step explanation:
you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.
What is the lcm of 24, 18, and 6
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.
Answer:
The length of the leg is 4.2 units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
Answer:
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
Give an example of an equation whose solution is 5
Answer:
x - 5 = 0
Step-by-step explanation:
x - 5 = 0
Add 5 on both sides,
x - 5 + 5 = 0 + 5
x = 5
The equation whose solution is 5,
" x - 5 = 0 "
Answer:
x-5=0 right answer
kkkkkksssxcvbb
what are the first four terms in the sequence Tn=4n+9?
Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2
Jasmine ran 5 miles in 42 minutes
Answer:
5 divided by 42 is 0.11 repeating
Step-by-step explanation:
59 oz = ____ lb ______oz
Explain yourselves
Answer:
3 lb 11 oz
Step-by-step explanation:
Divide 59 by 16
Answer:
3 pound and 11oz
Step-by-step explanation:
hop3 this helps
which equation is the inverse of y=7x^2-10
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Round 0.00359 to the nearest ten-thousandth.
Answer:
0.0036 !
Step-by-step explanation:
Give brainliest please :)
0.00359, when rounded to nearest thousandth results in 0.0036.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.
Given, value to be rounded is : 0.00359
Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)
Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.
Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.
Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036
Learn more about rounding off rules here:
https://brainly.com/question/28673593
#SPJ2
Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?
Answer:
80 dollars is the correct answer
Answer:
Step-by-step explanation:
1050=1000(1+.5*i)
i= 10%