The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are
Standard form: - 2 p^2 + 24p - 54
Factored form: -2(p - 3)(y-9)
Vertex form: -2(p-6)^2 + 18.
Which form is most useful for finding a. The prices that give a profit of zero dollars?
b. The profit when the price is zero?
c. The price that gives the maximum profit?
Answer:
Step-by-step explanation:
If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.
a). The prices that give a profit of zero dollars.
Expression that is most useful,
Factored form: -2(p - 3)(p - 9) = 0
p = 3, 9
b). The profit when the price is zero .
Standard form:
Profit = -2p² + 24p - 54 = 0
-p² + 12p - 27 = 0
-p² + 3p + 9p - 27 = 0
-p(p - 3) + 9(p -3) = 0
(-p + 9)(p - 3) = 0
p = 3, 9
c). The price that gives the maximum profit.
Vertex form: -2(p - 6)² + 18
Vertex of the given expression → (6, 18)
Maximum profit will be at p = 6.
Therefore, profit = -2(6 - 6)² + 18 = 18
Hey! I'm not sure what the answer is to this..Mind helping me out?
Answer:
81
Step-by-step explanation:
A perfect square has all side lengths the same so...
9*9=81
Place commas in the number 4978.
Answer:
4,978 because after 3 digits you have to put a coma
Answer:
4,978
Step-by-step explanation:
round 27.68 to the nearest tenth
Answer:
27.7
Step-by-step explanation:
For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.
If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place. If the number is between 5 and 9, we will increment the tenths place by one.
So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.
Hence, our rounded answer for the nearest tenth is 27.7.
Cheers.
If RS=5, ST=15, what is the length of RT? Show your work
Answer:
20 Units
Step-by-step explanation:
RS plus ST equals RT.
Take this visual:
_____/_______________
R S T
5 un 15 un
Using the segment addition postulate, we can tell RS+ST=RT
5+15=20
Hope this helps :-)
round 9.69 to the nearest whole number
Rounding 9.69 to the nearest whole number gives us 10.
Given that we need to round the decimal number 9.69 to the nearest whole number,
To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.
Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.
Therefore, rounding 9.69 to the nearest whole number gives us 10.
Learn more about Rounding Numbers click;
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-6(2)divided by (-3)
Answer:
4
Step-by-step explanation:
Following PEMDAS order:
-6*2=-12
-12/-3=4
Answer:
-6(2)(-3)
-3+2
-5
Step-by-step explanation:
185=-5(10r+3) please help me with this question
Steps to solve:
185 = -5(10r + 3)
~Distribute right side
185 = -50r - 15
~Add 15 to both sides
200 = -50r
~Divide -50 to both sides
-4 = r
Best of Luck!
Answer:
r=-4
Step-by-step explanation:
185= - 5 10 r + 3
37= 10 r + 3
10r = - 3 - 37
10 r = - 40
Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?
Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?
Answer:C) 4.5 units
Step-by-step explanation:
Name the y-intercept
Why can you not combine the 8a2 and 8a?
Answer:
you can't add or subtract numbers that don't have the same variable or the same exponent
Answer:
You cannot combine the terms [tex]8a^2[/tex] and [tex]8a[/tex] because they are not like terms, which are terms that consist of both the same power, and the same variable. Seen with the two terms given, they both share the same variable ([tex]a[/tex]), but not the same power ([tex]2[/tex]).
Point G is on line segment FH. Given FG = 5x + 2, GH = 3x – 1, and
FH = 9, determine the numerical length of FG.
Answer:FH = 12
Step-by-step explanation:
What is the midpoint of points (1,1) and (-6,-8)
Answer:
(-2.5, -3.5)
Step-by-step explanation:
In order to find midpoint, you must add both x coordinates then divide by two and add both y coordinates then divide by two.
1 + (-6) = -5
-5/2 = -2.5
1 + (-8) = -7
-7/2 = -3.5
the mean of 49 51 49 51 51 49 please help
Answer:
the mean is 50
Step-by-step explanation:
add up all the numbers which equals 300 then divide but the amount of numbers in this is 6 so that gives you 50
Answer:
50 is the mean
Step-by-step explanation:
When it ask for mean it ask you to add up all the numbers and divide by how many numbers their are. Their 6 numbers added together to make the total of 300.
49+51+49+51+51+49 = 300
300 / 6 = 50
x=3 (-3x-4)-6x. if x=3
Given 18 and 3, which of the following could be the third side of a
triangle?
9
12
10
16
Pls help plssssssssss
Answer:
Step-by-step explanation:
Hi!
I already solved it here.
https://brainly.com/question/17314856
A truck enters a highway at 60 mph. A car enters the highway at the same place 11 minutes later and drives 74 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
Answer:
3/20
Step-by-step explanation:
Given f(x) = 4(x - 8), determine the value of f(10).
Answer:
f(10) = 8
Step-by-step explanation:
f(x) = 4(x - 8)
Let x = 10
f(10) = 4 ( 10-8)
= 4 ( 2)
= 8
Here, we are provided with a polynomial in x and it's general value in variable X is also given.
[tex]f(x) = 4( x - 8)[/tex]
We need to find the value of f(10)
For this, we need to substitute the value of x with 10, because we are required to find f(10)
Given polynomial, f(x) = 4(x - 8), Putting value of x
[tex]f(10) = 4(10 - 8)[/tex]
[tex]f(10) = 4(2)[/tex]
[tex]f(10) = \boxed{ \red{8}}[/tex]
This is our required answer !!
#CarryOnLearning
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How many multiples of 5 are between 7999 and 10,000?
Answer:
There are 40 multiples of 5.
Step-by-step explanation:
You take 10000 and subtract 8000 = 2000.
Then divide 2000 by 5.
The gcf of 36 and 60
Answer:
the gcf is 12
Step-by-step explanation:
.............
Answer:
The gcf is 12!
Tyler and Han is trying to solve this system by substitution:
x + 3y = -5
9x + 3y = 3
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Hans first step is to isolate 3y in the first equation to get 3y = -5 - x show that both first steps can be used to solve the system and will yield the same solution.
Answer:
The communicative property shows how these problems should both work therefore they can both be answered by different equations
Step-by-step explanation:
Answer:
The communicative property shows how these problems should both work therefore they can both be answered by different equation.
Step-by-step explanation:
How do you solve this equation? (k/4 is a fraction)
5 = 12 + k/4
Subtract 12 from both sides
5 - 12 = k/4
Simplify 5 - 12 to -7
-7 = k/4
Multiply both sides by 4
-7 * 4 = k
Simplify -7 * 4 to -28
-28 = k
Switch sides
k = -28
2 time what makes 19.98?
Answer:
9.99
Step-by-step explanation:
Oranges are $1.23 a pound. I bought 9 pounds. How much did it cost?
pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs.
tell the answer
PQRS is a rectangle.
PS = 5cm
PQ = 12cm
To Find:The length of qr ,sr and the two diagonals pr and qs.
Solution:Opposite sides of a rectangle are equal.
QR = PS = 5cm
SR = PQ = 12cm
By using Pythagoras Theorem, we get
PR = √PS^2 + SR^2
or, PR = √25 + 144
or, PR = √169
or, PR = 13cm
Diagonals of a rectangle are equal.
QS = PR = 13cm
Answer:QR = 5 cm
SR = 12 cm
PR = 13 cm
QS = 13 cm
Solve.
4 + x/7 = 2
A) -14
B) 10
C) 12
D) 42
Answer:
the answer is A
-14
Step-by-step explanation:
subtract 4 in both sides
Answer:
X= -14
Step-by-step explanation:
SUBTRACT 4 FROM BOTH SIDES OF THE EQUATION.
SIMPLIFY
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
THEN AFTER YOU DO THESE STEPS YOU WILL GET THE SOLUTION ABOVE.
On a map, 2 cm represents 30 mi. The actual distance between two towns
is 75 mi. What is the distance between the towns on the map? USE
NUMBERS ONLY*
Answer:
5 cmStep-by-step explanation:
step one:
Given that the scale of the map is
2cm to represent 30 miles
That is every 1 cm is 15 miles in reality
step one:
what we are solving for is the distance in cm on the map so,
1cm rep 15miles
xcm rep 75miles
cross multiply
Xcm= 75/15
X= 5 cm
hence on the map 75miles distance between the two towns is seen as 5 cm
Let C be between D and E. Solve for x
DC = 5x + 8
CE = 3x + 5
DE = 61