The company needs to sell 8 units in order for the net income to equal $0
The net income function is given as:
[tex]f(x) = 9x^2 - 54x - 144[/tex]
When the net income is 0, then f(x) = 0.
So, we have:
[tex]9x^2 - 54x - 144 = 0[/tex]
Divide through by 9
[tex]x^2 - 6x - 16 = 0[/tex]
Expand the above equation
[tex]x^2 +2x- 8x - 16 = 0[/tex]
Factorize the above equation
[tex]x(x +2)- 8(x + 2) = 0[/tex]
Factor out x + 2 in the above equation
[tex](x - 8)(x + 2) = 0[/tex]
Split and solve for x
[tex]x = 8[/tex] or [tex]x =-2[/tex]
The units of product cannot be negative.
So, the value of x is [tex]x = 8[/tex]
Hence, the company needs to sell 8 units
Read more about profit functions at:
https://brainly.com/question/10009899
What is 11π/6 in degrees?
A) 315 degrees
B) 300 degrees
C) 210 degrees
D) 330 degrees
Answer:
The answer is D which is 330
Answer:
330 degrees
Step-by-step explanation:
[tex]\pi = 180 so \pi /6 = 30 \\30 x 11 = 330[/tex]
How many solutions does X^2 - 9x = -11 have?
Answer:
this is the answer Hope's it helps
Anyone wanna help me
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4(3 + 5) - 3\times9^2}[/tex]
[tex]\mathsf{3 + 5 = \bf 8}[/tex]
[tex]\mathsf{4(8) - 3\times 9^2}[/tex]
[tex]\mathsf{4(8) = \bf 32}[/tex]
[tex]\mathsf{32 - 3\times9^2}[/tex]
[tex]\mathsf{9^2 = 9\times9 = \bf 81}[/tex]
[tex]\mathsf{32 - 3\times 81 }[/tex]
[tex]\mathsf{-3\times81 =\bf -243}[/tex]
[tex]\mathsf{32 - 243}[/tex]
[tex]\mathsf{= \bf -211}[/tex]
[tex]\boxed{\huge\text{= \bf -211}}[/tex]
[tex]\boxed{\boxed{\mathsf{OVERALL\ ANSWER: \bf 4(8) - 3 \times 81 \rightarrow }\huge\text{\bf Option C}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The graph shown below expresses a radical function that can be written in the form f(x) = a * (x + k) ^ (1 / n) + c does the graph tell you about the value of k in this function ? A. k equals zero.
B. k is less than zero.
C. k is greater than zero.
D. It is not possible to tell whether k is greater than or less than zero.
Answer:
C
Step-by-step explanation:
Just took the quiz
Based on the graphed values of f(x) and independent variable x, the graph shows that C. k is greater than zero.
What is the value of k?We have a c value of -1 which is where the y axis is intercepted.
We know that k isn't zero because the x and y values are not the same. We can also tell that k is not less than 0 because if it was, the f(x) for the smaller x value would lead to a larger f(x) value.
The only logical conclusion therefore, is that k is greater than zero.
Find out more on radical functions at https://brainly.com/question/13430746.
Solve for p.
2p + 1=1
5p + 6=7
Answer:
-1/9
Step-by-step explanation:
We need to solve out and find out the value of p . The given equations is.
=> 2p + 1/ 5p + 6 = 1/7
=> 7 ( 2p + 1) = 5p + 6
=> 14p + 7 = 5p + 6
=> 14p - 5p = 6-7
=> 9p = -1
=> p = -1/9
• Hence the value of p is -1/9
3. The amount was $120 at 5% rate for 4
years.
Answer:
Go to photo math thank me later
Step-by-step explanation:
dowload tha app on ur phone
look at the pic and read what it says to answer my question
Answer:
70
Step-by-step explanation:
Answer:
-70 F
Step-by-step explanation:
-38 - 32 = 70
Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answer:
Graph A ,appears to decrease less
Step-by-step explanation:
In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.
Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let graph A shows the product quality with number of faulty products over the period of months
And , let graph B shows the product quality with number of faulty products over the period of months
Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate
Hence , graph A is best for presentation
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
a school theater can sell 21 tickets for a show if 6 have been sold how many tickets are still left to be sold
Answer:
15
Step-by-step explanation:
21-6=15
Answer:
The answer is 15
Step-by-step explanation:
Just subtract
Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it
Answer:
28 feet tall
Step-by-step explanation:
Jimmy has saved 375 to purchase a new guitar. this is 3/4 of the total price of the guitar. what is the price of the guitar?
Answer:
500
Step-by-step explanation:
375/3=125
125*4=500
What is the value of x if 4x - 2 < 26?
Answer:
4x<28
x<7
x;(-infinite,7)
find the surface area, and please show me steps so i can understand this myself !
Answer:
The surface area of the triangular prism is approximately 401.582 square feet.
Step-by-step explanation:
The figure represents a triangular prism, the procedure for calculating the surface area of the entire figure consists in adding the areas of each face (3 rectangles and 2 triangles):
[tex]A = 2\cdot \left[\frac{1}{2}\cdot (9\,ft)\cdot (4\,ft)\right] + (16\,ft)\cdot (4\,ft) + (9\,ft)\cdot (16\,ft) + (16\,ft)\cdot \sqrt{(9\,ft)^{2}+(4\,ft)^{2}}[/tex][tex]A \approx 401.582\,ft^{2}[/tex]
The surface area of the triangular prism is approximately 401.582 square feet.
please help! <3
what is the standard equations for a circle with a radius of 5 and located on -4 ,-3 on a grid?
Thank you guys <3
Answer:
(x+4)²+(y+3)²=25
Step-by-step explanation:
opposite of -4 is 4
x=4
opposite of-3 is 3
y=3
double the radius 5*5=25
x+4/9=3/4 what is x?
Answer:
11/36
Step-by-step explanation:
To answer this, you must first convert your fractions to have the same denominators (so you can add and subtract them). I switched it to 36ths. So, the equation would be x+16/36=27/36. When you subtract 16/36 from 27/36 you get 11/36. This cannot be simplified, so 11/36 is the answer. I hope it helps.
10 (27 – 4 4) = 100.0
Answer:
What is your question???
Step-by-step explanation:
Doug has $800 in his checking account. He spends
$40 each day out of the account
Which inequality can be used to find d,
the number of days it will take until his account has
less than $200 dollars in it?
A) 400-800 < 200
B) 400-800 < 200
C) 800+400 < 200
D) 800+40ds 200
E) 800-40d < 200
F) 800-40d s 200
Students, draw anywhere on this slide!
Pls help i know this should be easy but pls help i only have 1 point left after posting this
Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
A line that is very close to most of the data points?
a.
line of best fit
b.
bivariate data
c.
scatter plots
Option A: line of best fit
Peter has a coupon for 15% off the price of any item in a sporting goods store. He wants to buy a pair of shoes that are priced at $36.99. About how much will the shoes cost after the discount.
Answer:
$31.43
Step-by-step explanation:
If you take 15% of 36.99 you get around 5.56. So all you have to do is subtract that from the original amount.
can someone help me please?
Answer:
see explanation
Step-by-step explanation:
(a)
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for B
∠ B = 180° - (90 + 63)° = 180° - 153° = 27°
(b)
Using the sine ratio in the right triangle
sin63° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )
x × sin63° = 15 ( divide both sides by sin63° )
x = [tex]\frac{15}{sin63}[/tex] ≈ 16.8 ( to 1 dec. place )
(c)
Using the tangent ratio in the right triangle
tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{y}[/tex] ( multiply both sides by y )
y × tan63° = 15 ( divide both sides by tan63° )
y = [tex]\frac{15}{tan63}[/tex] ≈ 7.6 ( to 1 dec. place )
Which of the following relations is not a function? Select all.
D {(-3,5), (9,5), (6,5), (0,5)}
{(-1,-1), (-2,6), (-1, -3), (6,-1)}
{(0,0), (4,-5), (-4, 6), (5,6)}
((1,2), (-4, 0), (2,0), (-4,4)}
Hi there!
A function is a set of ordered pairs that do not have same x-values.
In a set of ordered pairs, If two or more ordered pairs have same x-values, they are not considered as a function but rather a relation instead.
From the question above, you notice that two of the choices have same x-values and others don't have.
The relations that are not functions are the second choice and fourth choice because two ordered pairs have same x-values.
Any questions can be asked through comment.
Furthermore, a function is also a relation but a relation isn't always a function.
Hope this helps, and Happy Learning! :)
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).
Answer:
3(a+4)
Step-by-step explanation:
PLEASE HELP IM BEGGINGG
What is the probability that a person whose name starts with the letter "J" will win the
presidency and the vice presidency? Write your answer as a simplified fraction.
Answer:
theres a 66.67%
Step-by-step explanation:
Identify a function rule for the following ordered pairs (0, -1), (2, 3), (3, 8), (4, 15)
A) y=x^2
B) y=x-1
C) y=x²-1
D) y=2x-1
Answer:
C
Step-by-step explanation:
Looking at the first point we know that it can't be A
Then we can easily see that the rate of change is not level (which means it isn't linear)
this leaves option C
Another way to solve this is just by plugging in points
for example for C
(4,15)
15=4^2-1
15=15
Find the value of x in the figure
[tex]57 + x + 23 = 180\\x = 180 - 57 - 23\\x = 100\textdegree[/tex]
Answer: 100.
Need help with school work
Answer:
the answer is 38
Step-by-step explanation:
c=a2+b2=362+152=39
1. You go to the local Sport Grill for quarter wings day.
All chicken wings are $0.25. Your waiter also announces
that for your stay there will be an additional 20%
discount on wings. Your table of friends stays there for
2 hours and eats a total of 78 wings. How much do you
expect the bill to be for your wings?
na
Answer:
If the 20% discount is by the hour then the answer would be $11.70 I think.
0.25x78= 19.50
19.50x0.20(20%)= 3.90
19.50-3.90-3.90= 11.70
Hope this helps!
Step-by-step explanation:
The value of all of the quarters and dimes in a
parking meter is $6. There are twice as many
quarters as dimes. What is the total number of
dimes in the parking meter?
Answer:
Step-by-step explanation: