The price-demand relationship of the company is a linear model
The equation that models the price-demand relationship is y = -20x + 1960
How to determine the linear relationship?From the question, we have the following points:
(x, y) = (88, 200) and (38, 1200)
The equation of the linear relationship is then calculated as:
[tex]y = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_1) + y_1[/tex]
Substitute known values in the above equation
[tex]y = \frac{1200 - 200}{38 -88} * (x - 88) + 200[/tex]
Evaluate the difference
[tex]y = \frac{1000}{-50} * (x - 88) + 200[/tex]
Evaluate the quotient
[tex]y = -20 * (x - 88) + 200[/tex]
Expand
[tex]y = -20x + 1760 + 200[/tex]
Evaluate the sum
[tex]y = -20x + 1960[/tex]
Hence, the equation that models the price-demand relationship is y = -20x + 1960
Read more about linear relationships at:
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This diagram shows a circle with an inscribed right triangle and some of its measurements in units.
Based on the diagram what is the circumference in units of the circle
Answer:
B
Step-by-step explanation:
the hypotenuse of the right triangle is the diameter d of the circle
Using Pythagoras' identity in the right triangle
d² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )
d = [tex]\sqrt{100}[/tex] = 10
the circumference (C) of a circle is calculated as
C = πd = π × 10 = 10π
PLEASE HELP ME!!! I WILL GIVE BRAINLIEST!!!!!
It is 3:13 when Lavender gets home from school. She works on her homework, and by the time she finishes math, the clock says that it is 4:37. How much time has passed?
Answer:
84 minutes
Step-by-step explanation:
Lavender has worked:
- from 3:13 to 4. That is 47 minutes, and
- from 4:00 to 4:37. An additional 37 minutes.
Total minutes: (47 + 37) = 84 minutes
============
Also, (84 minutes)(1 hour/60 minutes) = 1.4 hours
helpp please draw a line segment 8 cm and construct its axis of symmetry
Answer:
.____8cm______^1symmertry
Match each transformation of function f to a feature of the transformed function.
By analyzing the parent function graph, we will see that:
1) m(x) = -f(x) ⇒ "function decreases as x increases"2) h(x) = f(x) + 2 ⇒ "asymptote of y = 2"3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"4) g(x) = 2*f(x) ⇒ "y-intercept at (0, 2)"What thing does each transformation?
Let's list each transformation and let's see which is the correct option for each one.
1) m(x) = -f(x).
This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: "function decreases as x increases"
2) h(x) = f(x) + 2
This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.
So the correct option is: "asymptote of y = 2.
3) j(x) = f(x + 2)
This is a shift of 2 units to the left, notice that when we evaluate this in x = 0 we et:
j(0) = f(2) = 2^2 = 4
So the y-intercept os (0, 4).
4) g(x) = 2*f(x)
This is a vertical stretch of scale factor 2.
When we evaluate this in x = 0, we get:
g(0) = 2*f(1) = 2
So the y-intercept is at (0, 2).
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
What is the slope of the line represented by the equation f(t)=2t−6?
a
The slope is 2 and the y-intercept is −6.
b
The slope is −6 and the y-intercept is 2.
c
The slope is 2 and the y-intercept is 6.
d
The slope is 6 and the y-intercept is 2.
What is 5n=32? I'm stuck on my math problem.
Answer:
n=32/5
Step-by-step explanation:
What is the principal solution to the equation?
x^2=121
Pls explain for brainliest and a like
1.step by step
2. correct answer
3. clearly explained
Answer:
x = 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
This means that 'x' × 'x' = 121
To know the value of x, we need to find the root of 121.
[tex]\sqrt{121}[/tex] = 11
If u mutiply 11 x 11 , you get 121.
Thus, x = 11
Answer:
x = 11, -11
use the formula: [tex]\sf a^2 = b[/tex] ➳ [tex]\sf a = \sqrt{b}, \ a = -\sqrt{b}[/tex]
[tex]\hookrightarrow \sf x^2=121[/tex]
changing the sides, changes square ( ² ) to square root ( ±√ )
[tex]\hookrightarrow \sf x=\pm \sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=\sqrt{121},\:x=-\sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=11,\:x=-11[/tex]
PLEASE HELP ME THANK YOU
Utilize graphing to find the solution to the following system of equations y = x + 3 AND y = -x + 5 ( [ ? ], [ ] )
Answer:
(1,4)
Step-by-step explanation:
When replacing X and Y with the values (1,4)
[tex]1+3=4[/tex] AND [tex]-1+5=4[/tex]
Therefore, (1,4) is correct
why is 3.3 > 3.2999 please can any explain
Answer:
Step-by-step explanation: its cuz 3.3 is a equal to 3.30000 so 3.2999 would be less than it as it is just becoming smaller and smaller but whilst still staying the same number so 3.3000000=3.3 just like 3.29999999=3.29 all it is, is the repeating function in decimals.
While at a store, Jared decided to buy some
shirts for $3.29 each and a jacket for $19.50.
Jared's purchase was a total of $35.95. Write an
equation to find how many shirts Jared bought.
3.29s + 19.50 = [?]
Answer:
5
Step-by-step explanation:
35.95 - 19.50 = 16.45 ÷ 3.29 = 5
(09.02)
Write x2 - 2x - 3 = 0 in the form (x - a)2 = b, where a and b are integers. (1 point)
(x-4)2 = 3
(x-3) 2=2
(x-2)2= 1
O (x - 1)2 = 4
Answer:
4th option
Step-by-step explanation:
x² - 2x - 3 = 0 ( add 3 to both sides )
x² - 2x = 3
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 3 + 1
(x - 1)² = 4
Find the length of side
x
x to the nearest tenth.
Answer: 3.5
Step-by-step explanation:
Question Write the phrase as an expression. Then evaluate the expression when y=12 . the difference of a number y and 9 The expression is . The value of the expression is .
Answer: y-9
12-9
=4
Step-by-step explanation:
Simple math
what is 36:52 simplest form
Answer:
9:13
Step-by-step explanation:
36:52
divide both by two
18:26
divide both by 2
9:13
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
Answer: y-5=-3(x-10)
Step-by-step explanation:
please answer and show work, tysm you'll get brainilest (i cant spell lol)
Solution:
Note that:
Volume of prism = LBHL = 6 mB = 4 mH = 2 mSubstitute the values into the expression to find the volume.
Volume of prism = LBH=> Volume of prism = (6)(4)(2)=> Volume of prism = 48 m³Color yellow is correct
A leather coat costs $120 and the sales tax is 7.25%. What is the TOTAL cost of the coat?
A leather coat costs $120 and the sales tax is 7.25%. What is the TOTAL cost of the coat?
We need to take 7.25% out of 120.
[tex]7.25%[/tex] of [tex]120 = 8.7[/tex]
Now add the cost, and the tax.
[tex]120 + 8.7 = 128.7[/tex]
Put into currency form.
$[tex]128.70[/tex]
Final answer, 128 dollars, and 70 cents.
find the midpoint of the segment with the given endpoints (3,7) and (-2,-5)
Answer:
-2.5,6.5
Step-by-step explanation:
the sum of 6 and 9 divided by b
Answer: 15/b (fraction)
Step-by-step explanation:
sum = addition
6 + 9 = 15
15 divided by b can be rewritten as 15/b (15 over b as a fraction)
What values of c and d make the equation true? assume x greater-than 0 and y greater-than-or-equal-to 0 startroot startfraction x superscript 6 baseline y cubed over 9 x superscript 8 baseline endfraction endroot = startfraction 5 y superscript c baseline startroot 2 y endroot over d x endfraction c = 1, d = 3 c = 1, d = 9 c = 2, d = 8 c = 2, d = 9
The values of c and d which makes the provided equation of variable x and y true is 1 and 3 respectively.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The variable x is greater-than 0. Thus,
[tex]x > 0[/tex]
The variable y greater-than-or-equal-to zero. Thus,
[tex]y\geq0[/tex]
The given expression is attached in the image below, which is,
[tex]\sqrt{\dfrac{50x^6y^3}{9x^6}}={\dfrac{5y^c\sqrt{2y}}{dx}}[/tex]
Cancel out x⁶ term and solve it further with
[tex]\sqrt{\dfrac{(25\times2)x^6(y^2\times y)}{(3^2)(x^6\times x^2)}}={\dfrac{5y^c\sqrt{2y}}{dx}}\\\sqrt{\dfrac{(5^2\times2)(y^2\times y)}{(3^2)(x^2)}}={\dfrac{5y^c\sqrt{2y}}{dx}}\\{\dfrac{(5y)\sqrt{(2y)}}{(3x)}}={\dfrac{5y^c\sqrt{2y}}{dx}}[/tex]
Compare both the equation, we get,
[tex]5y=5y^c\\1=c[/tex]
[tex]3x=dx\\3=d[/tex]
Thus, the values of c and d which makes the provided equation of variable x and y true is 1 and 3 respectively.
Learn more about the unknown variable here;
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What is the value of the expression?
4+4+
A
B
mloo Lolcom/content
(С)
D
Answer:
B
Step-by-step explanation:
[tex] \frac{1 \times 2}{4 \times 2} + \frac{1 \times 2}{4 \times 2} + \frac{3}{8} = \frac{2}{8} + \frac{2}{8} + \frac{3}{8} = \frac{7}{8} [/tex]
Find the area of the figure.
We will cross a line to seperate the figure into 2 rectangles (i cant draw it but you can base on the solution to find out the line if you dont know)
Area of rectangle 1 : (4+2) x 2 = 12 yd2
Area of rectangle 2 : (12+2) x 2 = 28 yd2
Area of figure = 12 + 28 = 40 yd2.
Answer:
I DON'T NO ABOUT THIS SORRY FOR THE ANSWER
Select the correct answer.
Which American sociologist strongly criticized the structural functionalism approach to sociology?
O A Lester Ward
ОВ.
Robert Nisbet
OC. C. Wright Mills
OD. Julian Samora
Answer:
C. Wright Mills
Step-by-step explanation:
was the American sociologist who strongly criticized the structural functionalist approach to sociology.
Jay rides 30 miles in 2 hours. How many miles per hour (mph) does he ride?
Answer:
15 mph
Step-by-step explanation:
30÷2=15
Answer:
I believe 15 mph
Step-by-step explanation:
He rides 30 miles in 2 hours and we need to find how much in ONE hour so just divide 30 by 2 which should give you 15 miles per hour.
30/2=15
15 (mph)!~
find A and B please help
Answer: a=124 and b=62
Step-by-step explanation:
2 people can paint a fence in one hour.how long would it take 10 people
Answer: the is the best i could do
its in the image
Answer:
It would take 5 hours for 10 people to paint the fence.
If every hour 2 people paint the fence, keep counting by two's till you get to 10. You get 5. Hope this helps. :)
Does anyone know the answer to all 4 of these?
Answer:
1. $7.60 2. $3.70 3. $7.20 4. $9.20
Step-by-step explanation:
x/6=67 whats the answer?
Answer:
x would be equal to 11.66 you get this when you divide 67 by 6.
Step-by-step explanation:
In a restaurant a service charge of 10% is added to the price of the meal. What will be the total bill, when service charge is added, for a meal costing $78?
Answer:
$85.8
Step-by-step explanation:
10% of 78 = 7.8
78 + 7.8 = $85.8
Hence when service charge is added for $78 meal it will be $85.8
I need help please hurry. all my work are due tonight