Using linear functions, it is found that the high-performance system should be rented.
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.With the high-performance software:
Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]Then, the model is:
[tex]C_{hp}(d) = 3000 + 200d[/tex]
With the standard-performance software:
Fixed cost of $2,000 per month, hence [tex]b = 2000[/tex].Cost of $240 per drawing, hence [tex]a = 240[/tex]Then, the model is:
[tex]C_{sp}(d) = 2000 + 240d[/tex]
The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:
[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]
[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]
Due to the lower cost, the high-performance system should be rented.
A similar problem is given at https://brainly.com/question/20849340
is the function y = -7 a linear function?
Explanation:
The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.
The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.
Wyatt's eye-level height is 120 iS ft above sea level, and Shawn's eye-level height is 270 ft above sea level. How
farther can Shawn see to the horizon? Use the formula d=
3h
much
n20. with d being the distance they can see in miles
and h being their eye-level height in feet.
Answer:
150 eye level hight above sea level
Step-by-step explanation:
270-120=150
My kid already tried 3x7x7x7x7 = 3 x 7 to the power of 4 but it says it’s wrong, help please!
Answer:
[tex]7^{4} * 3[/tex]
Step-by-step explanation:
Find the quotient. Answer
should be in simplest form.
60. Write the equation of a line through the point (-2,6) with a slope -5.
Answer:
y = - 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = - 5x - 4 ← equation of line
If AB = AC; then B = C if
1. A is a square matrix
2. A is a null matrix
3. A is an identity matrix
4. A can be any matrix
Please answer! Only if correct, please.
Answer:
f(-4) = -6
g(2) = -14
Step-by-step explanation:
To evaluate a function we must plug in the values of x. So for:
f(x) = 2x+2
we have:
f(-4) = 2(-4)+2
then we simplify:
f(-4) = -8+2
so f(-4) = -6
Now the same steps are taken for g(x) in which the answer would be -14.
I really need help with this I am really struggling
Answer:
324
Step-by-step explanation:
the answer 325
Answer:
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The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 20 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
10 lb on planet earth which turns very slowly
Answer:
10 pounds on planet earth which turns very slowly
Step-by-step explanation:
Find the value of [tex]$6+\frac{1}{2+\frac{1}{6+\frac{1}{2+\frac{1}{6+\cdots}}}}$.[/tex] Your answer will be of the form [tex]$a+b\sqrt{c}$[/tex] where no factor of $c$ (other than $1$) is a square. Find $a+b+c$.
Let
[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]
Then
[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]
and solving for x gives
[tex]x = 6 + \dfrac x{2x + 1}[/tex]
[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]
[tex]x(2x+1) = 13x + 6[/tex]
[tex]2x^2 + x = 13x + 6[/tex]
[tex]2x^2 - 12x - 6 = 0[/tex]
[tex]x^2 - 6x - 3 = 0[/tex]
By the quadratic formula,
[tex]x = 3 \pm 2\sqrt{3}[/tex]
but x must be a positive number, so only the positive square root solution is valid.
[tex]x = 3 + 2\sqrt{3}[/tex]
We identify a = c = 3 and b = 2, so a + b + c = 8.
Help me out cause this very difficult for me
9514 1404 393
Answer:
a) 37
b) n+d
Step-by-step explanation:
This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.
Given:
a) someone bought 20 notebook computers and 17 desktop computers
b) someone bought n notebook computers and d desktop computers
Find:
a) the total number of computers bought
b) the total number of computers bought
Solution:
a) The total number bought is found by adding together the numbers of each kind:
20 +17 = 37 . . . total computers
__
b) The total number bought is found by adding together the numbers of each kind:
n + d . . . total computers
plz help i don’t get it help help help
Answer:
The answer is c
What is the product of ?
Answer: Mathematics
Step-by-step explanation:
Answer: Hello I want to know what is the product of what you need to give me a number.
Step-by-step explanation:
Find the square of
[tex]7 - 2 \sqrt{ 10} [/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
find the sum of 6/12+1/2
Answer:
1
Step-by-step explanation:
[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]
Plot two numbers on the numberline that are 7 units from 3
Is this correct?
Answer:
-4 and 10
Step-by-step explanation:
It is 7 units from 3 not 3 the number itself
Answer:
Half correct.
Step-by-step explanation:
Option B is correct 3 + 7 = 10
Option A is incorrect. Should be 3 - 7 = - 4
If Isabella runs 23 mile each day, how many miles will Isabella run in 6 days?
Answer:
[tex]138[/tex] miles in 6 days
Step-by-step explanation:
Our [tex]Rate[/tex] is [tex]23[/tex] miles per day.
DefinitionRate in Math - The speed of something happening in a certain amount of time, it is usually consistent.
Rate in Physics - Rate means rate of change. Basically, how much a certain quantity changes with respect to another quantity that is also changing. You may also sometimes hear the term gradient which describes the same thing.
To find how many miles she will run in 6 days we will multiply our [tex]Rate[/tex] by our Time, to find our distance, [tex](Miles, Physics)[/tex]
Our equation[tex]23\cdot6[/tex]
Solve[tex]138[/tex] miles in 6 days
Brainliest please :)
Could I get help with this?
Answer:
you would pay $1000 because insurance would cover the 1500 for medical, and it would pay 5000 of the 6000 for damage to the car
Step-by-step explanation:
I need help with a law of sines question.
Step-by-step explanation:
B will equal 20.87 degrees
C will equal 42.1 degrees
c will equal 26.3
Round 61.373737842 to the nearest ten-millionth
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378
can someone please help me with my last question?
answer choices are -165, -120, 165, 120
Answer:
120
Step-by-step explanation:
If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).
Going through (-2,2) and (2,-2) Write the equation of lines with the following through
Answer:
Step-by-step explanation:
Seems like your question might be missing some parts.
If Not, Then
a line through the given points would have the form
y = mx + b
where m is the slope and b the y intercept
m = Δy/Δx = (-2 - 2) / (2 - (-2)) = -1
y = (-1)x + b
y = -x + b
now plugging in either point to find b
2 = -(-2) + b
b = 0
y = -x + 0
y = -x
Answer:
Step-by-step explanation:
(-2 - 2)/(2 + 2) = -4/4= -1
y - 2 = -(x + 2)
y - 2 = -x - 2
y = -x
(x-1)I+(y+1)=(1+i)(4-3i)
Answer:
x=2, y=6
Step-by-step explanation:
What number is 133% of 200
Rewrite 133% as a decimal by dividing by 100:
133% = 1.33
Now multiply:
200 x 1.33 = 266
Answer: 266
133% of 200 = 266
Explanation:133 of 200 can be written as:
133/200
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
Multiply both numerator & denominator by 100 Therefore, the answer is 66.5%If you are using a calculator, simply enter 133÷200×100 which will give you 66.5 as the answer and as we know 66.5 is also known as 226.
source:
https://answers.everydaycalculation.com/percent-is/133-200
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
What is the slope of the line ?
The slope at the line would be the 360 point turn.
wich of the of the following is correct setup to find: a 12% bonus is $ 30.72 of what amout
how do i do 3 5/6 - 2 7/15?
Answer:
don't know don't know don't know don't know don't know don't know don't know
Step-by-step explanation:
don't know don't know don't know don't know don't know don't know don't know don't
Solve the given problem using Venn Diagram. Show your solution
A group of 50 students went on a tour in Palawan province Out of 50 students, 24 joined the trip to Coron; 18 went to Tubbataha Reef, 20 visited El Nido: 12 made a trip to Coron and Tubbataha Reef 15 saw the Tubbataha Reef and El Nido, 11 made a trip to Coron and El Nido: 10 saw the three tourist spots.
1. How many students went to Coron only?
2. How many students went to Tubbataha Reef only?
3. How many joined the El Nido trip only? 4. How many did not go to any of the tourist spot?
(Please kindly help me. I have answered this problem, but it seems not to be correct.)
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