If Bob only fixes 50 computers, his total loss is $3,750.
What is the total loss?The total loss results from the negative difference between the total revenue and the total costs.
The total costs consist of variable and fixed costs.
The result is a loss when the total costs exceed the total revenue. This result becomes a profit or income when the total revenue exceeds the total costs.
Fixed Costs:Equipment = $5,000
Premises = $6,000
Advertising = $4,000
Total fixed costs = $15,000
Variable cost per unit = $25
Selling price per unit = $250
Total number of computers fixed = 50
The total variable cost for 50 units = $1,250 (50 x $25)
The total costs (fixed and variable) = $16,250
The sales revenue for 50 units = $12,500 (50 x $250)
Loss = $3,750 ($12,500 - $16,250)
Thus, Bob will incur a total loss of $3,750 if he fixes only 50 computers based on his fixed and variable costs.
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check whether the following are quadratic equations
x^ 2 -2x=(-2)(3-x)
The given equation x²-2x=(-2)(3-x) is a quadratic equation.
What is quadratic equation?A second-degree quadratic equation in algebra is one that involves x.
The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
The coefficient of x2 must be a non-zero term in order for an equation to meet the definition of a quadratic equation.
given:
x²-2x=(-2)(3-x)
on expanding,
x²-2x = -6+2x
x²-4x+6 = 0
hence above equation is in form of ax²+bx+c=0, where a=1, b=-4. c=6
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Please help!! Math is not my cup of tea and I’m really struggling!! ASAP
Given the function:
f(x)=x²-3x - 4
Find the following values.
a) f(2)
f(2)=
b) f(4)
ƒ(4)=
c) f(-3)
ƒ(-3) =
Answer: [tex]-6, 0, 14[/tex]
Step-by-step explanation:
[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]
Answer:
5782
Step-by-step explanation:
td j envalentonado 8jdjdyzh d
pls answer the question i need it to day 20 points
Answer:
Step-by-step explanation:
See attached worksheet
Find the unit price (in dollars per ounce) if a 21-ounce can of pineapple costs $3.36.
a. $0.18 per ounce
b. $0.16 per ounce
c. $0.19 per ounce
d. $0.23 per ounce
e. $0.21 per ounce
Factor the expression below.
x2 – 81
Answer:
The factors are (x+9),(x−9).
Step-by-step explanation:
For f(x) = 4x + 1 and g(x) = x² - 5 find (g/f)(x)
I need help with this one :/
Answer:
always go with C- trust me its helped me alot
Step-by-step explanation:
(f+g)(x) = x2+4x−4
Explanation: add them together
f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4
please helppp
What is the derivative of 2x^2(cotx)?
the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)
Find an equation for the line that passes through the points (3, -4) and (-3, -1).
Answer:
That is my own idea and I hope it is very helpful
Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?
Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?
1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.
2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.
What is the SAS Similarity?The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.
What is the AA Similarity?The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.
1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC
We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.
The additional information needed is: c. AB/DB is proportional to EB/CB.
2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.
The additional information needed would be: a. ∠A ≅ ∠D.
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Let h(x) = x+3−−−−−−√ and k(x) = 2x + 7. Find the value h(k(3)).
The value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
As given in the question,
Given functions are :
h(x) =√ x+3 and k(x) = 2x +7
To find the value of the composite function h(k(3)) :
First calculate for k(3) we get,
k(x) = 2x+ 7
Substitute x =3 in k(x) we get,
k(3) = 2(3) +7
⇒ k(3) = 13
Now, Substitute the value of k(3) in the composite function h(k(3)) we get,
h(k(3))
= h(13)
= √ 13 +3
=√16
= 4
Therefore, the value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
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Question 1
Order from smallest to largest by selecting the dropdown beside each option. Mark the smallest with number 1.
• Number of pennies in a stack that is 1 ft high [Select]
• Number of books in a stack that is 1 ft high [Select]
• Number of dollar bills in a stack that is 1 ft high [Select]
• Number of slices of bread in a stack that is 1 ft high [Select]
.
Question 2
The order from smallest to largest is a book, bread, penny, bills
In decreasing size, they are a book, a loaf of bread, a penny, and a bill.
The following details must be taken into account;
The least number of books was thought to be necessary to reach one foot, followed by bread and then pennies.Finally, there should be bills.We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.
Hence, The order from smallest to largest is a book, bread, penny, bills.
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Nancy spent 2 1/2 hours working on her homework on the weekend. she spent 4/5 of her time working her ela homework. how much time did nancy spend working on her ela homework?
The time Nancy spent working on her ela homework is equal to 2 hours.
The time Nancy spent working on her ela homework can be calculated by multiplication.
We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.
As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;
2 1/2 = 5/2 = 2.5 hours
Now multiplying it by the fraction of her time spent on ela homework,
Time spent on ela homework = 4/5 × 2.5
Time spent on ela homework = 10/5
Time spent on ela homework = 2 hours.
Hence Nancy spent 2 hours working on her ela homework.
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In the figure below, XY = 15 and YZ = 17. Find XZ
The value of XZ is 32.
What is the value of XZ?
Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.
From the figure, XY = 15 and YZ = 17
XZ is the sum of XY and YZ:
XZ = XY + YZ
XZ = 15 + 17 = 32
Therefore, XZ is 32.
This shows the concept of trigonometry.
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3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9
Miyako is building a raised garden bed the garden is a right rectangular prism with the dimensions shown how many cubic feet of soil does miyako need to fill the garden bed
Answer:
Step-by-step explanation 10:
May I please get help with this. I have tried multiple times to get the correct answer for this but still could not seem to get the right one.
Answer:
42
Explanation:
Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.
Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;
[tex]\begin{gathered} \frac{AB}{XY}=\frac{AC}{XZ} \\ \frac{30}{5}=\frac{AC}{7} \end{gathered}[/tex]Let's cross multiply;
[tex]\begin{gathered} 5\cdot AC=30\cdot7 \\ 5AC=210 \end{gathered}[/tex]Let's divide both sides of the equation by 5;
[tex]\begin{gathered} \frac{5AC}{5}=\frac{210}{5} \\ AC=42 \end{gathered}[/tex]So the missing side length is 42
arthur walks 3 km north, and then turns east and walks 4 km. what is distance traveled and his displacement?
If arthur walks 3 km north, and then turns east and walks 4 km. The distance traveled is 7km and his displacement is 5km.
Distance travelled and displacementDistance traveled:
Distance traveled = Km north + East Km
Distance traveled = 3 km + 4 km
Distance traveled = 7 km
Displacement
Using Pythagoras theorem to determine or find the displacement
B² = A ²+AB²
B² = 3 ² +4 ²
B = 9+16
B = √ 25
B = 5 km
Therefore the 7km is the distance and 5km is the displacement.
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R = ((-4,2), (3,6), (x,8), (-1,4))
Which value of r would make this relation a function?
Answer:
0
Step-by-step explanation:
the domain can’t be the same
Find g'(x) for g(x) = 2x√x² +7
Answer:
[tex] {2x}^{2} + 7[/tex]
so hope it helps
Please answer quickly
Answer:
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
x1=6
y1=-2
m=5/2
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Use the following data set to answer the question below.8 12 15 910121218 141510 11 12 9 17What is the mode for the data set?
12
1) Considering this Data Set:
8 12 15 9 10 12 12 18 14 15 10 11 12 9 17
2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:
[tex]12[/tex]Note that this is the data point that repeats itself the most.
an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .
Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.
How to solve for the cost of small and large sundae that were sold?The ice cream shop sells small and large sundaes .
One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.
Therefore,
let
x = cost of each small sundae
y = cost of each large sundae
Therefore,
30x + 50y = 420
15x + 35y = 270
multiply equation(ii) by 2
30x + 50y = 420
30x + 70y = 540
subtract equation(i) from equation(ii)
20y = 120
y = 120 / 20
y = 6
Hence,
30x + 50(6) = 420
30x + 300 = 420
30x = 420 - 300
30x = 120
x = 120 / 30
x = 4
Therefore,
cost of small sundae = 4 dollars
cost of large sundae = 6 dollars
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Can someone please help
There's still more, there's 3 parts I just can't see them until I have my answer
The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,
[tex]c=5[/tex]The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,
[tex]\begin{gathered} c=\frac{20}{100}\cdot n+1.40 \\ =0.20n+1.40 \end{gathered}[/tex]So answer is,
Restaurant X: c = 5
Restaurant Z: 0.20n + 1.40
(b)
Plot the system of equation on the graph.
(c)
The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.
Answer: 18
Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.
Answer:
Step-by-step explanation:
what is the answer to 2x - 15
A.-10
B.9
C.8
D.12
Possible answers to the expression 2x - 15 are given as follows:
-10 if 2x - 15 = -35.9 if 2x - 15 = 3.8 if 2x - 15 = 1.12 is 2x - 15 = 9.How to solve an expression?An expression is solved isolating the variable of which we want to find the value.
In this problem, the expression is given as follows:
2x - 15 = c.
In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.
With c = -35, we have that the solution is found as follows:
2x - 15 = -35
2x = -20 (-35 + 15)
x = -20/2
x = -10.
Now, if c = 3, the solution is calculated as follows:
2x - 15 = 3
2x = 18
x = 18/2
x = 9.
In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.
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Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
Linear factors are the factors of a polynomial
What went wrong is that: Tyler's linear factors are incorrect
The polynomial function is given as:
Rewrite as:
Further rewrite as:
Factorize the above polynomial
Factor out x - 1 from the polynomial
This means that:
The linear factors are x - 1 and x^2 - 8x + 15
From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15
Hence, Tyler's linear factors are incorrect
8. The equation below is the standard form of a linear equation. += ax+by=c Which of the following is an equivalent equation? A. =−+ y=−abx+cb B. =+ C. =+ y=bax+bc D. =−+
Answer:
A
Step-by-step explanation:
ax + by = c Subtract ax from both sides
by = -ax + c Divide all the way through by b
[tex]\frac{by}{b}[/tex] = [tex]\frac{-a}{b}[/tex] x + [tex]\frac{c}{b}[/tex]
y = - [tex]\frac{a}{b}[/tex] x +[tex]\frac{c}{b}[/tex]
Find −2⋅[g(−2)].
Select one:
a. 8
b. -40
c. 20
d. -16
pls help <3
the correct answer is a so write it
at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.
The no. of schnauzers in the annual dog show are 20.
Assume that there are x Schnauzers at the annual dog show.
Scotties entered in the yearly dog show: x + 3
There are 2x - 5 Wirehaired Terriers entered in the annual dog show.
There are 78 dogs in all competing in the yearly dog show.
Consequently, the equation becomes
x + x + 3 + 2x - 5 = 78.
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.
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