A café's annual income depends on x, the number of customers. The function /(x) = 4x2 – 20x
describes the café's total annual income. The function C(x) = 2x2 + 5 describes the total amount
the café spends in a year. The café's annual profit, P(x), is the difference between the annual income and the amount spent in a year.
Which function describes P(x)?
A. P(x)= 2x^2 - 20x - 5
B. P(x)= 4x^3 - 20x^2
C. P(x)= 6x^2 - 20x + 5
D. P(x)= 8x^4 - 40x^3 - 20x^2 - 100x
Answers
Answer:B
Step-by-step explanation:
The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 2x² - 20x - 5
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The function f (x) = 4x² – 20x describes the café's total annual income. And, The function C(x) = 2x² + 5 describes the total amount the café spends in a year.
Hence, The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 4x² - 20x - 2x² - 5
⇒ P (x) = 2x² - 20x - 5
Thus, The value of P(x) the difference between the annual income and the amount spent in a year is,
⇒ P(x) = 2x² - 20x - 5
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Related Questions
Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.
Answers
Answer: 1st one is geometric I think not fully sure but the second is 3 times
Step-by-step explanation: I was doing it
Answer:
geometric, 3 times
Step-by-step explanation:
imagine math
What do rhombuses always have
Answers
Answer:
A, B, and D
Step-by-step explanation:
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answers
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50
Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge
Answers
Answer:
As both prism have the same base area and height there volumes are the same.
Step-by-step explanation:
Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
The length of the longer side is the length of the triangle itself.
For example the length of longer side of prism A maybe 10 units but width may be 1/2 units
and
the length of longer side of prism B maybe 15 units but width may be 1/3 units
the total base area remains the same.
Answer:60 cubic units
Step-by-step explanation:
Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP
Answers
Which of the following expressions will find the sum interior angles of a polygon with 14 sides?
A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)
Answers
Answer:
B.
Step-by-step explanation:
The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).
What is the Sum of the Interior Angles of a Polygon?The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.
For a 14-sided polygon, the sum of the interior angles would be:
180(14 - 2).
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Can someone please help! I'll do anything you want!
Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No
Answers
Answer:
No
Step-by-step explanation:
Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.
"A triangle is valid if sum of its two sides is greater than the third side."
How many cm are in 26 in? (1 in = 2.54 cm)
Answers
Answer:
66.04
Step-by-step explanation:
26 x 2.54 =
= 66.04
Answer:
66.04 cm
Step-by-step explanation:
All you need to do is multiply 2.54 cm twenty-six times for your answer.
2 . 5 4
2║40║10 ║0.8 ║→ 50.8
6║ 12║ 3 ║0.24║→ 15.24
50.8 + 15.24 = 66.04
what is 10 +10+10+10 +20'
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each additional mile. Apopulation in a town decreases by 15% each year. An airplane flying at an altitude 33,000 feet descends at a rate 20 feet per minute. A pizza restaraunt charges $5.50 per pizza, and $0.50for each additional topping. A cell phone doubles in time every two years
Answers
Answer:
Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.
Step-by-step explanation:
Linear function These are those function which are drawn as straight line graph with constant slope.Here
Taxi charges (y) = $2 + 1.50 ( x )
Airplane descends with the slope constant slope of 20 feet per minute.
Pizza charge ( y ) = $5.50 + 0.50 ( x )
Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.
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Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?
Answers
Answer:
The total cost of Raul's 32%
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answers
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
This diagram shows
Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles
Answers
Explanation: supplementary angles are angles that add up to 180 degrees and as these two angles are on a straight line and straight lines are always 180 degrees
hope that helps if u have any questions let me know and i would rly appreciate if u could mark this as brainliest !!
Can someone help me with this problem please!! i’ll give brainliest!
Answers
Answer:
its b i think dont trust though
Step-by-step explanation:
Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor
Answers
Answer:
Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.
Step-by-step explanation:
Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno
Cos A = b² + c²-a² / 2bc ------ ecuación A
Cos B = a² + c²-b² / 2ac ------- ecuación B
y Cos C = b² + a²-c² / 2ab ------ ecuación C
Si tomamos a = 29, b = 35 y c = 48
Luego, poniendo los valores
Cos A = b² + c²-a² / 2bc
Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)
Cos A = 1225 + 2304-841 / 3360
Cos A = 0,8
A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.
similar
Cos B = a² + c²-b² / 2ac
Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)
Cos B = 1920/2784
B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados
Y
Cos C = b² + a²-c² / 2ab
Porque C = 1225 + 841-2304 / 2 * 29 * 35
Cos C = -0,11724
C = cos ⁻¹ -0,11724
C = 96,73 = 97 grados
la altura se puede calcular usando la fórmula
h = b. sin C = c. Pecado B
h = 35 sin 97 °
h = 34,75 = 35 cm
English
Using the cosine rule we can find the measures of the angles of the scalene triangle
Cos A= b²+c²-a²/ 2bc------ equation A
Cos B = a²+c²-b²/ 2ac------- equation B
and Cos C= b²+a²-c²/ 2ab------ equation C
If we take a= 29 , b= 35 and c= 48
Then by putting the values
Cos A= b²+c²-a²/ 2bc
Cos A= (35)² + (48)² - (29)²/ 2(35) (48)
Cos A= 1225+2304-841/ 3360
Cos A= 0.8
A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.
Similarly
Cos B = a²+c²-b²/ 2ac
Cos B = (29)²+(48)²-(35)²/ 2(29) (48)
Cos B= 1920/2784
B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees
And
Cos C= b²+a²-c²/ 2ab
Cos C= 1225+841-2304/2*29*35
Cos C= -0.11724
C= cos ⁻¹ -0.11724
C= 96.73= 97 degrees
the height can be calculated using the formula
h= b. sin C= c. Sin B
h= 35 sin 97°
h= 34.75= 35 cm
The angles are 36, 47 and 97 degrees and height is 35 cm
If you multiply 2 xr you will get the ....?
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?
Answers
Answer:
1911.5 cm^3
Step-by-step explanation:
Answer:
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)
Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.
If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]
[tex]V \approx 1911.498\,cm^{3}[/tex]
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
An adult gorilla will eat about 5,425 pounds of food in a 31-day month. What is the average amount a gorilla will eat every day?
Answers
Answer: 175
Step-by-step explanation: Do 5425 divided by 31
Answer:
A gorilla will eat an average of 175 pounds of food a day.
Step-by-step explanation:
The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.
5425/31 = 175.
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes
Answers
Find the angle measures.
Answers
They form supplementary angles
(Add up to 180 degrees)
5x + x + 12 = 180
6x + 12 = 180
6x = 168, x = 28
m<1 = 5(28) = 140 degrees
m<2 = 28 + 12 = 40 degrees
Solution: m<1 = 140 degrees
m<2 = 40 degrees
thisss plss LOL again> (no link) if u do die.
Answers
Add a+b+c=p for the triangle.
24+26+10=60, Then add this to the semi-circles perimeter.
p=r(pi+2)
r=d/2
p=13(3.14+2)
p=13(5.14)
p=66.82
Add 66.82+60
66.82+60=126.82
Answer: 126.82
8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale.
Answers
Answer:
Hello! Answer: 496
Step-by-step explanation:
When finding area for triangles we have to do base x height then divide by 2 so
62 x 16 = 992
992 ÷ 2 = 496
So 496 is our answer!
Answer:
A - 496
Step-by-step explanation:
formula for area of a triangle
[tex]a = \frac{bh}{2} [/tex]
where b = base length and h = height
The triangle shown has a base length of 62 ft and a height of 16 ft
That being said we plug in the given values into the formula
[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]
Hence the area of the triangle is 496 square feet
I need help I will give brainliest I promise
Answers
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%
if a/b=2 what would 4b/a be
Answers
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
Answers
someone please explain to me how this is done please
Answers
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answers
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
Help please ! I'm soo confused
Answers
Answer:
(1/7)^(-1)<(1/7)^(-2)
7(-1)<(1/7)^(-1)
7^-2<7^-1
Step-by-step explanation:
U can look at the negative exponent that negative sign as the divide sign over 1
7^(-1)means 1/7
7^(-2) means 1/7^(2)=1/49
(1/7)^(-1)=7
(1/7)^(-2)=49
Can someone please. help Ill give branliesttttt
Answers
Answer:
3rd one!
Step-by-step explanation:
I think it’s B but I am not sure sorry dude
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answers
Answer:
I think its B
Step-by-step explanation: