Answer:
Step-by-step explanation:
In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.
If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.
To solve for h easily, use the formula
[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:
[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:
[tex]k=c-\frac{b^2}{4a}[/tex]:
[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]
This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.
These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream
Answer:
345
Step-by-step explanation:
230/4 = 57.5
57.5 times 6 = 345 calories
which structure is found in the cytoplasm of a typical plant cell?
Answer:
Lysosomes
Step-by-step explanation:
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3). How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.
Answer:
The answer should be "B" (The area of △RST is equal to the area of △LMN.)
The area of ΔRST is equal to the area of ΔLMN.
How to find the area of a triangle from its vertices ?We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],
then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
What is the result of comparing area of two given triangles ?In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)
In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)
Area of ΔRST = [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
= [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |
= [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |
= [tex]\frac{1}{2}[/tex] | -10-4+4 |
= [tex]\frac{1}{2}[/tex] | -10 |
Removing the absolute sign, we get,
Area of ΔRST = [tex]\frac{1}{2}[/tex] ×10 = 5 square unit
Again, Area of ΔLMN = [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |
= [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |
= [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |
= [tex]\frac{1}{2}[/tex] | -4-6 |
= [tex]\frac{1}{2}[/tex] | -10 |
Removing the absolute sign, we get,
Area of ΔLMN = [tex]\frac{1}{2}[/tex] ×10 = 5 square unit
Hence, we can say that, the area of ΔRST = the area of ΔLMN
Learn more about area of a triangle from its vertices here :
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Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1
ASAPPPPPPPPPPPPPP HELPPPPPPPPP
Answer:
1) supplementary
2) complementary
Step-by-step explanation:
1) FGH= 109 JKL=71
109+72=180
2) AED=45 BEC=45
45+45=90
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
1,100,300 in written in words please!
Answer:
one million one hundred thousand three hundred
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
ve
-5
-5
g(x) =
O A. g(x) = (x+3)2 - 2
O B. g(x) = (x - \3)2 - 2
xx
O c. g(x) = (x + 3)2 + 2
O D. g(x) = (x – 3)2 + 2
The equation of the translated function is:
g(x) = (x + 3)^2 - 2
How to get the equation for the blue graph?
We can see that the blue graph is a translation of the red one, where the equation for the red graph is:
f(x) = x^2
Remember that the translations are:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:
g(x) = f(x + 3) - 2 = (x + 3)^2 - 2
So the correct option is A.
If you want to learn more about translations, you can read:
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Pls I need help ASAP❤️
Answer: third option 60t + 24t
Step-by-step explanation:
Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]
Step-by-step explanation:
Please help with this ASAP
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
It takes 70 pounds of seed to completely plant a 9 -acre field.
How many pounds of seed are needed per acre?
Answer:
7.8 to 1 decimal place
Step-by-step explanation:
70 pounds for 9 acre
for one acre it'll be 70/9
7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number
Answer:
7/9 pounds
Step-by-step explanation:
I did 70/9 to get 7/9 pounds
HELP WILL COUNT BRAINLIEST
Which expression is represented by this model
Answer:
A
Step-by-step explanation:
The distance between 0 and 4/6 is 4/6. This distance is repeted two times
so we have 4/6 + 4/6 or 2 x 4/6
Find the values of x and y. State which theorems you used
Answer:
Step-by-step explanation:
5/6.
use that alternate exterior angles are congruent
3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x
use that lines form 180°
y+ 5x-64= 180
y= 180 +64 -5*32; y= 84
7/8.
use that alternating exterior angles are congruent
x=86
use that same side exterior angles are supplementary
x+y = 180; y= 180 -86; y= 94
9/10.
use that vertical angles are congruent
2y=59; y= 59/2; y= 29.5
use that alternate exterior angles are congruent
3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
The figure below shows a triangular piece of cloth: What is the length of the portion BC of the cloth?
6 cos 32°, 6 sin 32°, cos32°/6, sin32°/6
Answer:
the answer is simple
Step-by-step explanation:
hope you got mu explanation
Answer:
6 sin 32°
Step-by-step explanation:
Hope this helps :)
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?
Answer:
$496,800
Step-by-step explanation:
Present cost = $480,000
%increase = 3.5%
Present price of the house = 480,000 + 3.5% of 480,000
= 480,000 + 0.035 * 480,000
= 480,000 + 16,800
= $496,800
Present price of the house = $496,800
Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.
Answer:
c. 125.6
Step-by-step explanation:
Pi= 3.14
r= d/2 = 40/2 = 20
[tex]2\pi \: r[/tex]
= 2 × 3.14 × 20
=125.6
A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
Answer:
[tex]Area = 26478cm^2[/tex]
Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout
[tex]Area = \frac{\pi r^2}{2}[/tex]
Where
[tex]r = 60cm[/tex]
So:
[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]
[tex]A_1 = \frac{11304}{2}[/tex]
[tex]A_1 = 5652cm^2[/tex]
Next, the area of the complete trapezium
[tex]Area= \frac{1}{2}(a + b) * h[/tex]
Where
[tex]a = 300[/tex]
[tex]b = 2 * r = 2 * 60 = 120[/tex]
[tex]h = 153[/tex]
So:
[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]
[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]
[tex]A_2 = 32130cm^2[/tex]
The area of the desk is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = 32130cm^2 - 5652cm^2[/tex]
[tex]Area = 26478cm^2[/tex]
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
PLS HELP I WILL GIVE BRIANLY!
Francine bought 3 skirts that cost $2500 each before the discount. What was her total after
the discount?
Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x
What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box
6/12
- 1/12
= 5/12
6 - 3 = 3
= 3 5/12
If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.
Answer:
9j
Step-by-step explanation:
vector AB means going to B from A.
= pos. final - pos. initial
= pos.B - pos.A
= (2i + 4j) - (2i - 5j)
= 2i + 4j - 2i + 5j
= 9j
please provide a solution
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
I NEED AN ANSWER ASAP PLEASE!!!
Answer:
40% properties are Semi-detached
Step-by-step explanation:
Given,
Percentage of Bungalow = 10%
Percentage of Detached properties = 30%
Percentage of Apartments = 20%
∴Total percentage of properties deducting the semi-detached properties
= (10 + 30 + 20) %
= 60%
∴ Percentage of semi detached properties = (100 - 60) %
= 40%
So, 40% properties are Semi-detached.
Can somebody help with this
Answer:
B
Step-by-step explanation:
Domain is the x value and it is asking your for the coordinates with the same x value.
find and interpret the slope
Answer:
y interpret is 60
slope 60/4=20x
hope this helps
have a good day :)
Step-by-step explanation: