Answer:
a) GH¢15x
b) GH¢15
Step-by-step explanation:
a) To find the cost function, C(x), given that it is linear, we need to find the slope and y-intercept of the line that represents the cost to produce x units of the product. We can use the point-slope form of a line to find the cost function: C(x) = mx + b, where m is the slope and b is the y-intercept.
We have two points: (100, GH¢1,500) and (0, GH¢0), which represents the cost to produce 100 units and 0 units, respectively. The slope can be found by dividing the change in y by the change in x:
m = (GH¢1,500 - GH¢0) / (100 - 0) = GH¢15
The y-intercept can be found by plugging in one of the points and solving for b:
GH¢1,500 = (GH¢15)(100) + b
GH¢1,500 = GH¢1,500 + b
b = GH¢0
So the cost function is C(x) = GH¢15x + GH¢0.
b) To find the average cost per item to produce 50 units and 300 units, we need to divide the total cost by the number of units produced.
For 50 units:
C(50) = GH¢15 * 50 + GH¢0 = GH¢750
Average cost = C(50) / 50 = GH¢15
For 300 units:
C(300) = GH¢15 * 300 + GH¢0 = GH¢4,500
Average cost = C(300) / 300 = GH¢15
Miguel bought a scarf. He paid $9.92 and received $0.01 in change. How much did the scarf cost?
Answer:
The scarf cost:
$9.91
Step-by-step explanation:
9.92 - 0.01 = 9.91
Choose if simple or compound. If compound which type: *Conjunction *Disjunction *Conditional *Biconditional a. Twilight is my favorite time to set on the porch (simple or compound) b. I will get coffee if and only if I want to stay awake. c. Lemons are yellow and limes are green.
We can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.What are the types of propositional logics?There are six primary statement forms in Propositional Logic -
SimpleConjunctionDisjunctionConditionalBiconditionalNegationGiven are the statements as -
Twilight is my favorite time to set on the porch.I will get coffee if and only if I want to stay awake. Lemons are yellow and limes are green.We can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.Therefore, we can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.To solve more questions on propositional logics, visit the link below-
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11. Check for Reasonableness Santiago wants to display categorical data
in a circle graph. He divides the circle graph into 5 equal sections because
the data set has 5 groups. Do you agree? Justify your answer,
Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.
simplify b^n-2*b^n-3
The simplified form of the exponential expression [tex]b^{n- 2}\times{b^{n-3} = b^{2n - 5}[/tex].
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression [tex]b^{n- 2}\times{b^{n-3}[/tex].
We know, Same base multiplication is exponent addition.
Therefore,
[tex]b^{n- 2}\times{b^{n-3} = b^{n - 2 + n - 3}[/tex].
[tex]b^{n- 2}\times{b^{n-3} = b^{2n - 5}[/tex].
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one ordered pair that is a solution of y is greater then or equal to 4
On solving the provided question, we can say that the inequality formed is 1 ≥ 2(3)-5 => 1 ≥ 1
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
The ordered pair is (3, 1)
Substitute (x, y)=(3, 1) in the given inequality, we get
the inequality formed is
1 ≥ 2(3)-5
1 ≥ 1
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pilar said that the expressions -4x + 3x + 2 and -x + 2 are equivalent. is pilar correct. explain
Yes, this is correct. If you solve the first equation it equals the second equation.
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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Describe a situation that you can model with 6m+3 = 27. Explain what the variable represents and solve the equation.
Answer:
Step-by-step explanation:
its 18+27 because you have to do 6x3 wich is 18 and add 27 to 18
Answer:
4
Step-by-step explanation:
Subtract 3 from both sides.Then divide both sides by 6 to give you your answer.The pavement at the new shopping mall is being laid. Which transformation is applied from brick A to brick B?
A. reflection
B. rotation
C. dilation
D. translation
Since the pavement at the new shopping mall is being laid, a transformation that is applied from brick A to brick B include the following: D. translation.
What is a transformation?In Mathematics, a transformation can be defined as the movement of a point from its original (actual) position to a final (new) location. This ultimately implies that, when an object (pre-image) is transformed, all of its points would be transformed as well to form a new image such as the following:
ReflectionTranslationRotationDilationWhat is a translation?In Mathematics, a translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
In conclusion, a translation was applied to both brick A and brick B.
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3. Which expressions have the same solution as -4.
a.
-4.5
-3 -7
-5/?
Select all that apply.
4(-6), 6(-4), and 12(-2). (-2). Each one adds up to -24. I am aware of this because if you multiply the two numbers and one of the numbers is negative, the result will also be negative. The item will be favorable if there are just two drawbacks.
What is meant by negative numbers?Describe how a negative number is similar to having no money at all and owing someone money. It is a negative number. Therefore, the value is less or less, the larger the numeral. If a number is more than zero, it is positive. Less than zero makes a number negative. If a number is higher than or equal to 0, it is considered to be non-negative. Any number that is less than or equal to zero is considered non-positive. Around 200 BCE, China was the first place to use negative numbers. They stood in for the cost of an item being bought or a debt. In any mathematical work, Diophantus was the first to discuss negative numbers.To learn more about negative numbers, refer to:
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What is the estimated answer of 0.93 x 2.6
Answer:
2.5!
Step-by-step explanation:
round 0.93 up to 1 and 2.6 down to 2.5
1*2.5 = 2.5
Answer:like 3
Step-by-step explanation:
what does this equal
Answer: 3 1/2
Step-by-step explanation:
Since positive and a negative make a negative the product would be a negative. Now we multiply 2/1 (because is the same as 2) times - 7/4, which gives us - 14/4. -14/4 = 3 1/2. Have a nice day ;)
if cos theta =3/4 find sin (90°-0)
Answer:
Below
Step-by-step explanation:
sin (90 -0) = sin (90) = 1
Remember sin^2 + cos^2 =1
for theta sin2 + (3/4)^2
sin^2 = 1 - 9/16 = 7/16
sin (theta) = ± sqrt(7) /4
Find the area of the rectangle
What is the area of the rectangle?
The area of the rectangle = 9x² +18x−16
What is the area of the rectangle?
The area of a rectangle is calculated by multiplying the height by the width. If the height of the rectangle is represented by h and the width is represented by w, then the area is given by:
A = h * w
In this case, the height of the rectangle is given as 3x - 2 yards, and the width is given as 3x + 8 yards. So, substituting these values into the formula:
A = (3x - 2) * (3x + 8)
A = (3x - 2)(3x + 8)
A = 9x² +18x−16
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The answer is:
9x² - 64Work/explanation:
To find the rectangle's area, we use the formula
[tex]\pmb{A=LW}[/tex]
Where A = area;
L = length;
w = width.
Plug in the data
[tex]\sf{A=(3x+8)(3x-8)}[/tex]
To multiply, use FOIL:
F = first
o = outside
i = inside
l = last
Multiply
[tex]\sf{3x\cdot3x=9x^2}[/tex]
[tex]\sf{3x\cdot(-8)=-24x}[/tex]
[tex]\sf{8\cdot3x=24x}[/tex]
[tex]\sf{8\cdot(-8)=-64}[/tex]
-------------------
[tex]\sf{9x^2-24x+24x-64}[/tex]
[tex]\sf{9x^2-64}[/tex]
Hence, the area is 9x² - 64.QUESTION 9 1 POINT
Determine the interval(s) for which the function shown below is decreasing.
A function is decreasing if as x-values increase, the y-values decrease. Graphically this means that if you move from left-to-right, the graph goes down.
The downhill portion of this curve is on the interval [tex](1,\infty)[/tex].
alexia has 22$ to spend at the fair. the entrance fee to the fair is 10$ and the rides cost 3$ each. how many rides can alexia go on to spend exactly 22$
Answer: 4
Step-by-step explanation:
Alexia has 22$ total:
Therefore, after taking away the 10$ dollar admission fee, she has 12$ left.
12$ dolars divided by 3$ dollars per ride equal 4 rides.
The answer is 4 rides to spend exactly 22$
Two cars start from towns 660 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 10 mph faster than the other.
The speed of the cars are 50mph and 60mph
How to determine the speed of each carLet's call the speed of the slower car "x". The faster car is traveling at "x + 10 mph".
The total distance both cars travel is 660 miles, and the time it takes for them to meet is 6 hours.
Using the formula for distance = rate x time, we can set up the equation:
x * 6 + (x + 10) * 6 = 660
Expanding and simplifying, we get:
12x + 60 = 660
Subtracting 60 from both sides:
12x = 600
Dividing both sides by 12:
x = 50 mph
So the slower car is traveling at 50 mph and the faster car is traveling at 60 mph.
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Someone help me with this math problem.
Answer:
Good luck man.
Step-by-step explanation:
Ima be honest, I got no idea.
I need this for math homework anyone on tonight to help? 5/8 = x/12 x=
PLS HELP ME SOLVE THESE TWO QUESTIONS IM JUST NOT GETTING IT
Answer:
Below
Step-by-step explanation:
The two angles at U are equal....so the triangles have TWO equal angles: 72° and the angles at U
Answer A
Geometric mean is the square root of the two numbers after multiplying them sqrt ( 48* 12) = sqrt( 576) = 24
Please help me with my math
Answer:
square 3. Multipky the result by -2 and then subtract 4.
Step-by-step explanation:
comment if u need explanation
A telephone company charges $30 a month and gives the customer 200 free minutes. After the 200 min, the company charges $0.03 a minute.
(a) Write the function using function notation.
(b) Find the cost for talking 350 min in a month
(c) Find the number of minutes used if the monthly charge is $34.68
Answer:
(a)
f(x) = 30, for x ≤ 200
f(x) = 0.03(x - 200) + 30, for x > 200
(b) $34.50
(c) 356
Step-by-step explanation:
Let x = number of minutes.
(a)
f(x) = 30, for x ≤ 200
f(x) = 0.03(x - 200) + 30, for x > 200
(b)
Here, x = 350, so x > 200.
f(x) = 0.03(x - 200) + 30
f(350) = 0.03(350 - 200) + 30
f(350) = 0.03(150) + 30
f(350) = 4.5 + 30
f(350) = 34.5
$34.50
(c)
f(x) = 0.03(x - 200) + 30
0.03(x - 200) + 30 = 34.68
0.03(x - 200) = 4.68
x - 200 = 156
x = 356
v= u + at
work out the value of v
Answer:
I don’t even know
Step-by-step explanation:
A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional
minute.
(a)Write a function to represent the cost, C, of a call as a function of its length tin minutes.
b)State the domain and range of the function.
c)Determine the cost of a call that lasts 12minutes.
(d)Determine the cost of a call that lasts 1 hour.
Answer:
a) Let's call the length of a call "t" (in minutes). The cost of a call can be represented as follows:
C(t) = 0.99 if t <= 20
C(t) = 0.99 + 0.07(t - 20) if t > 20
b) The domain of the function is all non-negative real numbers (t >= 0), since a call can have any non-negative length in minutes. The range of the function is all non-negative real numbers, since the cost of a call can never be negative.
c) If a call lasts 12 minutes, then the cost would be 0.99:
C(12) = 0.99
d) If a call lasts 1 hour (60 minutes), then the cost would be:
C(60) = 0.99 + 0.07(60 - 20) = 0.99 + 0.07(40) = 0.99 + 2.80 = 3.79
Step-by-step explanation:
HELP PLSS (show how to solve) for 59 points
Answer: Dude this is pretty easy!
Step-by-step explanation: Use the process of elimination.
Hint: It's just subtraction or addition. Trust me it's easy.
Answer:
Step-by-step explanation:
1/4 min, 15 sec
A trucker wanted to track how long it took to reach Bismarck. When she started out, her clock
read 7:00AM. When she refueled, the clock read 8:00AM. After reaching Bismarck, the clock read
10:00AM. How many hours did it take this trucker to reach Bismarck?
Answer:
Below
Step-by-step explanation:
From 7 to 10 AM is THREE hours (if the times are all on the same day)
Factor out the greatest common factor.
2x³ + 8x² - 4x
Answer:
[tex]2x(x^2+4x-2)[/tex]
Step-by-step explanation:
We can factor out 2x:
[tex]2x^3+8x^2-4x=2x(x^2+4x-2)[/tex]
A catapult launches a pumpkin from the base of a hill. The
hill follows an incline with the height in meters, y, in terms
of horizontal distance in meters, x, given by the equation
y=0.9x. The height of the pumpkin, as it is launched up-
hill, is given by the function y = -0.1x² +4.9x¸
What is the height, in meters, where the pumpkin lands on
the hill?
A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the height in meters, y, in terms of horizontal distance in meters, x, given by the equation y=0.9x. 40m is the height, where the pumpkin lands on the hill.
What is horizontal distance?The term "horizontal distance" refers to the separation between two places measured with a slope of 0%. Vertical distance is the distance following the direction of gravity, while horizontal distance is the distance along the ground surface. The distance between an observer and a building represents as that of an example of horizontal distance, and the structure's height serves as an illustration of vertical distance. A projectile's range is the horizontal distance it covers. Horizontal refers to something that is parallel to it. Anything that forms a 90-degree angle (right angle) with the horizontal or the horizon is referred to as vertical since it is the opposite of the horizontal. The line that spans from left to right is therefore considered to be horizontal.
Given that,
The hill follows an incline with the height in meters y,
in terms of horizontal distance in meters x,
The given equation becomes: y = 0.9x
The height of the pumpkin, as it is launched up hill, is given by the function:
y = -0.1x² + 4.9x
now, finding point of intersection, we get:
0.9x = -0.1x² + 4.9x [as y = 0.9x]
or, 0.1x² - 4x = 0
or, x (0.1x - 4) = 0
or, x = 0 (this is not possible)
and 0.1x = 4
or, x = 40
40 is the height, in meters, where the pumpkin lands on the hill.
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G
Identifying Exponential Growt
Which is an exponential growth funcion
0f3=61025/
04-0295254
0f=423
0fx)=(-1257
Answer:
The exponential growth function 0f3=61025/ 04-0295254 0f=423 0fx)=(-1257 is not a valid equation.
Step-by-step explanation:
Graphing
100 POINT FOR HELP!!