Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.
She writes the expression (−5)(50−2) to represent her profit based on the price per scarf,
Use the drop-down menus to complete the statements about Sofie's profit.
Answers
Answer:
The first part is 5
The maximum it can be is 200
Step-by-step explanation:
Because I said So
Sofie will not make a profit if she sells her scarves for $5 or less.
The maximum profit Sofie can make is $200.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
According to the given problem,
y = (x - 5)(50 - 2x)
⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)
⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)
⇒ y - (x - 5)(-2x + 50) = 0
⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0
⇒ y - ( -2x² + 50x + 10x - 250) = 0
⇒ y - ( - 2x² + 60x - 250 ) = 0
⇒ y + 2x² - 60x + 250 = 0
⇒ 2x² -60x + y + 250 = 0
⇒ ( 2x² - 60x ) + y + 250 = 0
⇒ 2 ( x² - [tex]\frac{60}{2}[/tex]x) + y + 250 = 0
⇒ 2 ( x² - [tex]\frac{2^{2} *3*5}{2}[/tex]x) + y + 250 = 0
⇒ 2 ( x² - 30x ) + y + 250 = 0
⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0
⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0
⇒ 2( x - 15 )² + y = -2(-225) - 250
⇒ 2( x - 15 )² + y = 450 - 250
⇒ 2( x - 15 )² + y = 200
⇒ y = -2( x - 15 )² + 200
This equation is in the form of y = a(x - h)² + k where the vertex of the parabola is (h , k).
Therefore the vertex of the parabola is at (15 , 200)
Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.
Learn more about parabola here:
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Related Questions
I WILL GVE BRAINLIEST JUST HELP ASAP
Use the Rational Zeros Theorem to write a list of all potential rational zeros
f(x) = 14x3 + 56x2 + 2x - 7
Answers
Answer:
± 1 , ± 1/2 , ± 1/7 , ± 1/14 , ± 7 , ± 7/2
Step-by-step explanation:
What is the value of k if (1, 1) is a solution of 2x + 7y=k?
Answers
reasoning: just plug in 1 for x and 1 for y
Part 2! Please help once again! This is confusing me since I've never been good at geo. :((
Answers
Answer:
B is the answer that is incorrect and must be rejected.
Step-by-step explanation:
A trapezoidal shape need not have a line of symmetry to be a trapezoid.
Julie manages a franchise restaurant and is analyzing the tips left at her location. From corporate informational material, she knows the overall
population mean is $6.85 with a standard deviation of $1.25. Julie has a sample of 180 tips for her franchise. By the central limit theorem, which
interval can Julie be 95% certain that the sample mean will fall within?
OA. $6.76 and $6.94
O B. $6.57 and $7.13
OC. $6.66 and $7.04
OD. $6.83 and $6.87
Answers
Answer:
$6.66 and $7.04
Step-by-step explanation:
I got it right
The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
From the central limit theorem:
σ(x) = σ/√n
The standard deviation σ = $1.25
The sample n = 180
σ(x) = 1.25/√180
σ(x) = 1.25/√1801
σ(x) = 0.0931
The lower limit = 6.85 - 0.0931 = 6.756 = 6.76
The upper limit = 6.85 - 0.0931 = 6.943 = 6.94
Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
Learn more about the standard deviation here:
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12+16q-q and q=2 evaluate
Answers
Answer:q=0,\:q=-16
Step-by-step explanation:
What is the solution to the system of equations graphed below?
y = 4x + 11
y = -2x - 1
Answers
Answer:
Step-by-step explanation:
y = 4x + 11, and y = -2x - 1, so
4x + 11 = -2x - 1
6x + 11 = -1
6x = -12
x = -2
y = 4x+11 = 3
y = 4x + 11
y = -2x - 1
4x + 11 = -2x - 1
4x + 2x = -1 - 11
6x = -12
x = -12/6
x = -2
y = 4x + 11
y = 4(-2) + 11
y = -8 + 11
y=3
Answer is (-2,3).
if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to
Answers
gud evng have a gud day
hope u enjoy ur day
(F*g)(x) means to multiply the two equations.
Multiply each term by each term:
2x-1 * 3x+5 =
2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =
6x^2 + 10x -3x -5 =
6x^2+7x-5
I really need this answer please help
Answers
Answer:
pretty sure D
Step-by-step explanation:
Can anyone please help with this? I will love you forever
Answers
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
Donna and Darcy collected newspapers for recycling. Donna collected 5 3/4 pounds of newspaper. Darcy collected 2 1/4 pounds of newspaper. How much newspaper did they collect between them?
Answers
Answer:
8 pounds
Step-by-step explanation:
5 3/4 + 2 1/4 = 7 4/4 = 8
Find the value of x. Round the length to the nearest tenth.
A. 7.2 ft
B. 6.9 ft
C. 13.9 ft
D. 9.7 ft
Answers
Answer: 7.2ft
I explanation
The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.
Answers
Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k
vertex:(4,-1) point:(2,3)
Answers
Answer:
y = ( x − 2 ) ^ 2 + 3
y = x^2 − 4x + 7
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (4,-1)
h=4, k=-1
y = a ( x − 4 ) ^ 2 - 1
sub ( 2,3 )
3 = a (2 - 4)^2 - 1
a=1
y = 1 ( x − 2 ) ^ 2 + 3
y = ( x^2 − 4x + 4 ) + 3
y = x^2 − 4x + 7
i will give you brainliest whoever answers correct first !
Answers
Answer:
72.8
Step-by-step explanation:
16 is 8 times 2. 36.4 times 2 would be 72.8
Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =
Answers
Answer is 0
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
[tex]y = \frac{1}{4} x[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]
Thus, the slope is [tex]\frac{1}{4}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]
if you increase the length on a parallelogram by 4 cm, what happens to the perimeter?
Answers
Answer:
It gains 8 cm
Step-by-step explanation:
Answer:
We know that all the sides of a square are equal. Perimeter of a square is 4 times of s side. Perimeter of a square = 4 × length of a side.
Step-by-step explanation:
Can someone tell me how to do this task please?
Answers
so 14,28,42,56,70
The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???
Answers
Answer:
Step-by-step explanation:
g(f(10)) = g(½·10+1)
= g(6)
= 6+2
= 8
Answer:
the answer is 10
Step-by-step explanation:
A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 18 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Answers
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
1/2 x 1 2/3 write the answer as a fraction or as a whole or mixed number
Answers
Answer:
5/6
Step-by-step explanation:
complete the table by supplying the measure of inscribed angle and its intercepted arc
Answers
Answer/Step-by-step explanation:
Based on the inscribed angle theorem, any inscribed angle = ½ of its intercepted arc
Thus:
✔️Inscribed angle = 57°
Intercepted arc would be: 2*57 = 114°
✔️Intercepted arc would be: 123°
Inscribed angle = ½(123) = 61.5°
✔️Intercepted arc would be: 46°
Inscribed angle = ½(46) = 23°
✔️Inscribed angle = 69°
Intercepted arc would be: 2*69 = 138°
✔️Intercepted arc would be: 155°
Inscribed angle = ½(155) = 77.5°
Which table shows a linear relationship
Answers
Answer:
B
Step-by-step explanation:
find the sum of the first 10 terms of the following sequence 4, -16, 64
Answers
Answer:
838860
Step-by-step explanation:
How do you find the sum of the first 10 terms?
To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +
Example: Add up the first 10 terms of the arithmetic sequence:
a = 1 (the first term)
d = 3 (the "common difference" between terms)
n = 10 (how many terms to add up)
What is the sum of the first 10?
The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.
PLEASE HELP!
F.11
G.12
H.22
J.24
Answers
Answer:
G. 12
Step-by-step explanation:
5/10=(x+5)/(3x+3)
1/2=(x+5)/(3x+3)
Cross multiply
3x+3=2x+10
x=7
AC=x+5=12
Hope it’s right
find the value of b in rectangle
Answers
How many solutions does this system have?
X-3y = 4
-2x+6y=3
one
two
an infinite number
no solution
Answers
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answers
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
Side 2. What is the sogel
What is the slope between the
points (2, 150) and (5,375)?
Answers
Answer:
75
Step-by-step explanation:
Use the slope formula (rise/run):
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(375 - 150)/(5-2) = 225/3 = 75
What is the area of the parallelogram?
A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21 centimeters.
82 centimeters squared
300 centimeters squared
315 centimeters squared
420 centimeters squared
Answers
Answer:
300 centimeters squared.
Step-by-step explanation:
Given that a parallelogram has a base of 20 centimeters, a height of 15 centimeters, and a side length 21 centimeters, to determine the value of its area, the following calculation must be performed:
Area = Base x Height
Area = 20 x 15
Area = 300
Thus, the area of the parallelogram is 300 square centimeters.