The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
10.5 + 3.5 /2 i need help
Answer:
12.25
Step-by-step explanation:
Remember PEMDAS!!
You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.
P = ( )
E = exponents
M/D = Multiply/Divide
A/S = Add/Subtract
Answer:
10.5 + 3.5
--------------- = 7
2
Please Help! Determine the measures of the missing sides and angles for the triangle
Answer
Estoy triste y nadie me quiere. Y nadie habla español en brainly.com.
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 84 m, find its length and width.
Answer:let
Length =L
Width =W
L=5W
Perimeter(p)=2L+2W
P=10W+2W
84=12W
Divide both sides by 12
W=7m
L=5*7=35m
Hence, the length and width are 35m and 7m respectively
Step-by-step explanation:
The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
If Josue's TV costs $995 and he could save $80 per month, how many months would it
take Josue to save for the TV?
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
Brian glues together 4 wooden cubes as shown. Each cube has an edge of 5 centimeters. He covers the surface area of this new figure with metalic paper that is cut to size for each face
Answer:
5 x 5 per face x 18 faces = 450 cm
Step-by-step explanation:
Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?
Answer:
0.667
Step-by-step explanation:
Find the difference, radicals plz help:(
Answer:
-2 radical 5 the second one
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SSS
B. SAS
C. AAS
D. HL
E. ASA
[tex]\tt{PQ=TS }[/tex]
[tex]\tt{ PW=TW }[/tex]
[tex]\tt{ QW=SW }[/tex]
SO,
it is S-S-S
side-side-side
Which shows how much water drips the faucet hour each
Answer:
2.5 ounces drip from the faucet per hour.
Step-by-step explanation:
You can figure this out by dividing the amount of water (7.5) by the hours (3).
7.5/3 = 2.5
To check your work you can do the same for the other combinations.
10/4=2.5, 12.5/5=2.5....
I hope this helped :)
help please. oh i need it
Answer:
6
Step-by-step explanation:
6*6*6 = 216
Graph the line with the equation y=-2x + 6.
Answer:
can you show a link to the graph
Step-by-step explanation:
it will help me answer
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
what is the ratio of the area of the larger pizza to the area of the smaller pizza ? choices are 2,3,4, and 9 .
Complete the equation of the line through (1,4) (2,2)
The slope- intercept form of the equation of a line is : y = mx + b
The slope is represented by m and the y-intercept is represented by b.
You can use the coordinates of the two points to find the slope:
m = (y 2 - y 1)
(x 2 - x 1)
For this problem:
m = (4 - 2 ) = 2
(1 - 2) -1
To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:
y = mx + b
y = -2 • x + b
Using (1,4):
4 = -2 • 1 + b
4 = -2 + b
b = 6
The equation of the line will be : y = -2•x + 6
Help please.
Algebra.
Answer:
7) C.
8) B.
should be the answers
Step-by-step explanation:
plz answer i have soo much school work to do thx also brainliest.
Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought lunch from home. Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.
If each spinner is divided into 15 congruent sectors, how does the spinner representing Mr. Skinner’s class differ from the spinner representing Ms. Cho’s class?
One more sector of the Skinner-class spinner will represent bringing lunch from home.
One fewer sector of the Skinner-class spinner will represent bringing lunch from home.
Two more sectors of the Skinner-class spinner will represent bringing lunch from home.
Two fewer sectors of the Skinner-class spinner will represent bringing lunch from home.
Answer:
HOPE THIS HELPS
Step-by-step explanation:
Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12
Fraction of students who brought lunch from home in Mr. Skinner's class=
Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14
Fraction of students who brought lunch from home in Ms. Cho's class=
As Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.
Number of Congruent sectors in each Spinner=15
So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =
So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =
Mr Skinner class +1 = Mr's Cho's Class
So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.
Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.
Answer:
C.
Step-by-step explanation:
can someone please help me
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
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.
...
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. :-)))
Which expression is NOT equivalent to 2.89 × 0.6?
(289 × 6) × (110 × 110)
(0.289 × 6) × (10 × 110)
(289 × 6) × (1100 × 110)
(289 × 60) × (1100 × 1100)
Answer:
(289x6)x(110x110)
Step-by-step explanation:
Solve 3^x + 6 = 3^4.
−2
4
6
10
Answer:
The answer is 4
Step-by-step explanation:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Answer: Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Step-by-step explanation:
the length of a rectangle is four times its width. if the perimeter of the rectangle is 70in, what would be its length and width...
Answer:
length- 28 width- 7
Step-by-step explanation:
7 times 4 is 28, so 28 times 2 is 56, 7 times 2 is 14, 56+14 is 70
I will brainliest u
Please help!
Answer:
d and e are parallel because alternate exterior angles are congruent
Step-by-step explanation:
Answer:
I would choose a and b
Step-by-step explanation:
because parallel Lines have 2 going at the same directions. They don't have 3 lines going in the same direction. Just 2
45% of a number is 34. Find the number.
if you could explain that would be great thx!!!
Step-by-step explanation:
45% of number = 34
100% of number = 34 * (100/45) = 680/9.
The number is 680/9.
Determine if they triangles are similar. If so, by what Theorem?
Answer:
SSS
Step-by-step explanation:
The sides of the smaller triangle equal the sides of the larger triangle when you multiply them by six, so they are parallel.
A new book store is selling new books for $16 a book and used books for $4.75 a book. A customer wants to purchase two new books and X used books what equation can be used to find y the total cost of all books the customer wants to buy?
16 + 16 = 32
X * 4.75 = ?
32 + X = Y
You would add 16 plus 16 because there are TWO new books being bought, you multiply however many used books there are (X) by 4.5 then add that answer to 16+16, solve that, and you have your answer = Y
Hope this helps ^-^
Someone help
Which is the correct algebraic expression for each phrase? 15 miles less than Devra biked
A. d + 15
B. d – 15
C. 15 – d
D. 15 + d
Answer:
i would say it’s b because it makes more sense rather than 15-d
In each equation of the form ax + by = c, state a, b, and c.
y=2
In each equation of the form ax + by = c, state a, b, and c.
5x - y = 1
In each equation of the form ax + by = c, state a, b, and c.
4y + 2x = 3