take a pic of what and where are the questions???
Rashid solves the following system of equations using the elimination method.
6x−5y=−315x+3y=10
What value does he correctly determine for x?
Enter you answer in the box.
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
y is inversely proportional to x and x = 10 when y = 6 what is the value of the consant? k =
Answer:
60
Step-by-step explanation:
y = k/x ( as y is inversely proportional to x)
yx = k
--> k = yx
k = (6)(10)
k = 60
Enjoy it. I hope it will help you.
What is the equation in point-slope for the linear function whose graph contains points (1, -2) and (-3, 6)?
A. y - 6 = 2(x + 3)
B. y - 6 = -2(x + 3)
C. y - 2 = -2(x - 1)
Answer:y+2 = 2(x-1)
Step-by-step explanation:
First we find the slope
(1,-2) (-3,6)
rise/run
change of y/change of x
8/-4
-2
The slope is -2
point slope form is y-y1 = m(x-x1)
m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.
lets use (1,-2)
y-(-2) = 2(x-1)
point slope form
y+2 = 2x-2
y = 2x-4
slope intercept form
does the graph represent a function? yea or no
Answer:
no
Step-by-step explanation:
It is not because it does not pass the vertical line test.
****************************************************************
This is the vertical line test:
Imagine a vertical line that starts at the left side of the graph, at x = -8, and is moving right to x = 8. If at any time in the vertical line's movement from left to right, it intersects more than 1 point of the relation simultaneously, then the relation is not a function.
******************************************************************
Here, when the vertical line is x = -7, the vertical line intersects points (-7, 4) and (-7, 6) simultaneously. That means this relation does not pass the vertical line test, and it is not a function.
Carlisle purchased one-fourth of a pound of candy at the mall. What decimal did he see on the scale?
0.25
0.40
0.20
0.14
True or false.The perimeter is the boundary of a shape or an object.
100 POINTS IF U GET THIS RIGHT!
Answer:
y-intercept: 5/3
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -8/3 + 5/3
=> Now, let's compare.
=> y = mx + b = y = -8/3 + 5/3
=> we can tell that the y-intercept is b, which is 5/3.
Hoped this helped.
[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]
CAN SOMEONE HELP ME PLEASE ASAP!
The answer is P and R
Answer:
Q and R
Step-by-step explanation:
to be similar all sides must have the same scaling factor :
the factor from 2 to 8 is 4.
and the factor from 3 to 12 is also 4.
therefore, these 2 parallelograms are similar.
Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!
Solve for v.
–1 = 4v − 13
v =
Answer:
-1+13=4v
12=4v
v=3
....
.............
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
f(t)=256e(0.0611t)
where t is in minutes. How long will it take the population to reach 5 times its initial value?
Answer: 26.34
Step-by-step explanation:
The bacteria will take 26.3409 minutes.
What is Exponential Equations?Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.
Given f(t) = 256[tex]e^{0.0611t}[/tex]
initial condition when t = 0
f(0) = 256
to find the time when population reach 5 times its initial value
= 256 x 5 = 1280
f(t) = 1280,
to calculate t
1280 = 256[tex]e^{0.0611t}[/tex]
[tex]e^{0.0611t}[/tex] = 5
0.0611t = ln(5)
0.0611t = 1.60943
t = 1.60943/0.0611
t = 26.3409 minutes.
Hence Bacteria will take 26.3409 minutes to reach 5 times.
Learn more about Exponential Equations;
https://brainly.com/question/29506679
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Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
I ain’t giving n9 answer
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Find the value of the variable(s) in each figure explain your reasoning.
Answer:
...............................
How many times does 5 go into 604 with partial quotient divison
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
If x is not a whole number, then x ≠ 5.
If x = 5, then x is a whole number.
If x ≠ 5, then x is not a whole number.
If x is not a whole number, then x = 5.
The equation y=−15x+12 is the slope-intercept form of which equation?
5x+13y−4=05 x plus 1 third y minus 4 is equal to 0
−y15+12=xnegative y over 15 plus 12 is equal to x
y−5x=−4y minus 5 x is equal to negative 4
y−15x=−12
I honestly don't know but I think it would come out to be 4/5
How to find binary equivalent of a number.
Find the length of the missing side. Round your answer to the nearest tenth.
Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )
I need help ASAP no links and no tricks the one who answers correctly I will mark brainiest. If I got #5 wrong let me know and tell me the right answer and show your work. Ty for ur help ❤️❤️❤️
Answer:
[tex]y=-\frac{4}{3} x+4[/tex]
Step-by-step explanation:
Slope-intercept form is written in [tex]y=mx+b[/tex]
So, to solve, we must separate y onto one side and make its coefficient one.
[tex]4x+3y=12[/tex]
Subtract 4x on both sides.
[tex]3y=12-4x[/tex]
Divide both sides by the coefficient of [tex]y[/tex], which is 3.
[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]
Simplify.
[tex]y=4-\frac{4}{3} x[/tex]
Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]
[tex]y=-\frac{4}{3} x+4[/tex]
Answer
y=4/5 times 2/3
Step-by-step explanation:
A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.
A graph of the growth for a
12
-month period is shown.
What is the domain of the function that models this phenomenon?
Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].
The domain of a function is the set that contains all possible input values.
In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].
A similar problem is given at https://brainly.com/question/10891721
solve pls brainliest
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
42x14.2 what is the answer and steps
Answer:
I hope this helps
help question in picture
Answer:
E, -1/5
Step-by-step explanation:
The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.
Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.
By substituting
m = (4 - 1) / (-20 - [-5])
m = 3 / (-20 + 5)
m = 3 / -15
m = -1 / 5
[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]
96.1 is 39 percent of what? This is 6th grade advanced math btw.
Answer:
9610/39
Step-by-step explanation:
You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41
Find the perimeter. Simplify your answer.
we have: [tex]P=(7c-5) +(10c-2) + (7c-5) = 7c-5+10c-2 + 7c-5=24c-12[/tex]
ok done. Thank to me :>
Solve for x
3-11x=-118
PLEASE HELP WHAT IS X
Answer:
11
Step-by-step explanation:
You would need to -3 on both sides to get:
-11x = -121.
To find x on it's own you would have to divide by -11 on both sides.
You would get a result of x = 11.
Hope this helps :)
A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?