HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000
Answer:
d
Step-by-step explanation:
^u^
The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.
How to find maxima?To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.
After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.
If the double derivative got negative then it will be maxima.
Given that function
f(x) = -0.001(x-600)² + 90
By differentiation
[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90
Now equate with zero
-0.002(x - 600) + 90 = 0
x - 600 = 0
x = 600
Now checking the x at double derivative
[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.
For more about maxima
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Need help, due in 1 hour please!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
hope this helps lovely! <3
Please do a step by step so that i can show work.
Answer:
See this attachment...
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.
Answer:
equation: 55 + (2x + 3) + 90 = 180
55 + 2x + 3 + 90 = 180
2x + 148 = 180
2x = 32
x = 16
Answer:
55 + 50 + 2x+3 + 2x+8 = 180
x = 16
Step-by-step explanation:
55 + 50 + 2x+3 + 2x+8 = 180
113 + 4x = 180
4x = 64
x = 16
Someone pls help me
Answer:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
15. Marley gets on an elevator on the 30th floor of a building. She goes up 6 floors to pick up a package then goes down 14 floors for a meeting. Write and simplify an expression to show what floor Marley is now on pls help
Step-by-step explanation:
The initial level is 30.
let the upward travel be +X and downward travel be -Y.
so the expression for her current level be ,
30+X-Y = 30+6-14= 22.
22 is her current level.
What is the length of AC
The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.
Answer:
- 1,503,050
Step-by-step explanation:
Given that the sum of arithmetic sequence =
n/2[2a + (n-1)d]
Where;
n = 575
a = -4910
d = a i - a i-1 = 8
Substituting values;
575/2 [2(-4910) + (575 -1) 8]
575/2 [(-9820) + 4592]
= - 1,503,050
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
Find the distance between A and B
Answer:
27
Step-by-step explanation:
You can easily find it by counting how much line are between point and and point B
there are 27 lines (including the line on point B)
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
3. The dollar amount d that Megan earns varies directly with the number of
hours h that she works. In her last paycheck, she earned $148.50 working
18 hours. If her next paycheck is $107.25, how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
148.5/18=8.25
107.25/8.25=13
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Answer:
C should be the right one
Answer:
Write the points where the graphs of the equations intersect the x-axis
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3
What is the answer using substitution X+(x-178)=676
2 3/4 +1 1/4+3 1/2 
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126