Step-by-step explanation:
(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).
(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2
= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).
6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can sell 2400 of a particular type of toy truck. At a price of $8 the store can sell 600 such trucks. If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Given :
When price is $2 dollars he sells 2400 units .
When price is $8 dollars he sells 600 units .
To Find :
If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Solution :
Two points are given :
[tex](x_1,y_1)=(2,2400)[/tex]
[tex](x_2,y_2)=(8,600)[/tex]
Now , slope is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300[/tex]
Now , the equation of line containing these two points and slope -300 is :
[tex](y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000[/tex]
Therefore , equation for the demand curve is [tex]y = -300x +3000[/tex] .
Hence , this is the required solution .
Subtract. WILL GIVE BRAINLIEST
(8f+4)–(6f+2)
Answer:
2f +2
Step-by-step explanation:
[tex](8f+4)–(6f+2)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=8f+4-\left(6f+2\right)\\\\-\left(6f+2\right):\quad -6f-2\\=8f+4-6f-2\\\\\mathrm{Simplify}\:8f+4-6f-2:\\\quad 2f+2[/tex]
2f+2
GIVE OTHER ANSWER BRAINLY!!!!!
A store has 2 employees that earn 159 dollars altogether. If they all earn the same amount, how much does each employee earn?
Need help pppppppppplz
Answer:
83%
Step-by-step explanation:
The fraction shown is 5/6.
5/6= 0.83333333
0.83333333= 83%
First answer gets brainliest!!!!! Please help
Answer: first answer
:))))))))))))))))))
Where my brainlist
Answer:
its the 3rd answer xD this took awhile to figure out
Step-by-step explanation:
Which describes how a person most likely uses latitude and longitude lines?
write the degree of polynomials how do you find the degree?
Answer:
5 or 3 will be the answer
The definition of a degree is the highest exponent of a term with a non-zero coefficient.
What is the exponent for the term [tex]8x^2[/tex]? 2
What is the exponent for the term [tex]13y^3[/tex]? 3
Since 3 is greater than 2, the degree of the polynomial is 3.
Hope this helps.
頑張って!
Solve for a.
q+a= b
Solve for x
ax + b = c
solve for r.
(r + y)/q = m
From the top of a tree 20 metres high,the angle of depression at a point on the opposite bank of a river is found to be 30° .Find the breadth of the river.
Answer:
17.3
Step-by-step explanation:
sin(30)=0.5
0.5*20=100
20*20+x*x=100
x=17.3
What percent is represented by the shaded area?
Answer:
6%
Step-by-step explanation:
ok so count theres 6 squares filled out of 100 (10 by 10 squares)
fraction: 6/100
this is easy because its out of 100.
a percent basically means out of 100 so boom.
6%
Answer:
6%
Step-by-step explanation:
6×100÷100
Point L is on line segment KM. Given LM = 3x + 3,
KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.
Answer: KM =
Answer:
KM = 4
Step-by-step explanation:
[tex] LM = 3x + 3 [/tex]
[tex] KM = 5x + 4 [/tex]
[tex] KL = 5x + 1 [/tex]
[tex] KL + LM = KM [/tex] (segment addition postulate)
[tex] (5x + 1) + (3x + 3) = 5x + 4 [/tex] (substitution)
Solve for x
[tex] 5x + 1 + 3x + 3 = 5x + 4 [/tex]
Combine like terms
[tex] 8x + 4 = 5x + 4 [/tex]
[tex] 8x + 4 - 4 = 5x + 4 - 4 [/tex]
[tex] 8x = 5x + 0 [/tex]
[tex] 8x - 5x = 0 [/tex]
[tex] 3x = 0 [/tex]
[tex] x = 0 [/tex]
[tex] KM = 5x + 4 [/tex]
Plug in the value of x
[tex] KM = 5(0) + 4 [/tex]
[tex] KM = 0 + 4 = 4 [/tex]
A bakery sold 39 mocha cupcakes in a day, which was 65% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Describe how to graph the points (3, -2) and (-1, -7).
Answer:
Place the dots on the x and y axis.
Step-by-step explanation:
(x, y)
Place the x axis dot on the lines that go left to right.
Place the y axis dot on the lines that go up and down.
I hope this helped! ^^
Hello There!! I need help in this question...Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3, 1), (6, 2), (9, 3) (2, 4), (4, 6), (7, 9) (1.5, 3), (3, 6), (4, 8) (3, 1), (4, 3), (8, 6) Plus, please make a explained to. And, do not guess to this...
Answer:
A- (3, 1), (6, 2), (9, 3) and C- (1.5, 3), (3, 6), (4, 8) are Correct
Step-by-step explanation:
Domain:
Range:
State the domain and range for the graph
domain:
x <= 3
range:
x ∈ (-∞, ∞)
A city park is opening a new swimming pool. You can pay a daily entrance fee of $3 or purchase a membership for the 12 week summer season for $82 dollars and pay only $1 per day to swim. How many days would you have to swim to make the membership worthwhile?
Answer:
41 days
Step-by-step explanation:
The membership would be worthwile if you swim an amount of days paying the daily entrance fee that would make your total cost equal to the cost of the membership. From that you can write the following expression:
3x=82+(1*x), x is the number of days you go to swim
Now, you can solve for x:
3x=82+x
3x-x=82
2x=82
x=82/2
x=41
According to this, the answer is that you would have to swim 41 days to make the membership worthwile.
Plz help!!! It is 2.389 x 10 miles to the moon from the Earth. How many miles will it be if you go to the moon and
back two times? Write your answer in scientific not
Answer:
47.78
Step-by-step explanation: 2.389 times 10 = 23.89 x 2 = 47.78
I need to solve 12r-6s=t for r
Answer:
Simplifying
12r + -6s = t
Solving
12r + -6s = t
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '6s' to each side of the equation.
12r + -6s + 6s = 6s + t
Combine like terms: -6s + 6s = 0
12r + 0 = 6s + t
12r = 6s + t
Divide each side by '12'.
r = 0.5s + 0.08333333333t
Simplifying
r = 0.5s + 0.08333333333t
Step-by-step explanation:
sorry if this doesnt help
Answer:
r=s/2+t/12
Step-by-step explanation:
To find the answer, add 6s to both sides to get 12r=6s+t. Divide both sides by 12 to get the answer.
a survey of 100 students showed that 45 students take english, 25 take math,
F(t)+-2t^2+5t, [1,6] What could this function model be used in real life?
Explanation:
It might represent the relative position of an object that has some initial velocity and constant acceleration. For whatever reason, the time period of interest is 1 to 6 seconds.
I need help on 1-8 ..
Answer:
To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.
please help due today
Answer:
let know that,
the number will we missing .
so answer will 5/5 is right
Answer:
1 aka 1/1
Step-by-step explanation: if a/b=c then c*b=a and a/c=b
5/10=1/12
1/2 / 1/2 = 1
check ur answer:
5/10 / 1 = 5/10 = 1/2
A family wants to purchase a house that costs $185,000 . They plan to take out a $135,000 mortgage on the house and put $50,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $925.14 and with a 30-year mortgage their monthly payment would be $615.65 . Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. Savings = $
Answer:
4,592.4
Step-by-step explanation:
925.14×15 = 13,877.1
615.65x30=18,469.5
18,469.5
- 13,877.1
= 4,592.4
Answer:
$55,108.80
Step-by-step explanation:
15 year mortgage
925.14/month times 180 months =
$166,525.20
30 year mortgage
615.65/month times 360 months =
$221,634
$221,634 - $166,525.20 =
$55,108.80
So the difference between the 15 year mortgage and the 30 year mortgage is $55,108.80
Find the value of the following problems (a) 5 cube 3
Answer:
125
Step-by-step explanation:
5^3 = 5 × 5 × 5 = 125
Help this is all I was given 7*f(5)=
There are 67 electricians on a jobsite. Thirty-one (31) are "career" helpers. Twenty-four (24) are indentured apprentices. Nine (9) are journeymen. Three (3) are foremen. What percentage of the electricians are indentured apprentices?
Answer:
35.82 %
Step-by-step explanation:
Total no of electrician job = 67
No. of indentured apprentices = 24
____________________________________
Percentage mean per hundred,
Example for x percentage of any thing
literally it means if there are total no. of 100 things, then x is the number of thing in consideration.
Formula for percentage calculation = (number of a particular thing/ total no of things out of which the particular thing is considered) *100
______________________________________
Here,
Total no of electrician job = 67
No. of indentured apprentices = 24
percentage of indentured apprentices = (Total no of electrician job /No. of indentured apprentices) * 100 = 24/67 *100 = 35.82 %
Thus, there 35.82 % indentured apprentices out of total electricians.
It means that if there were 100 electricians, then there would have been 35.82 indentured apprentices out of those 100 electricians.
motor de un Drone que tiene una potencia de de 25W. 1- ¿Cuál será la tensión de trabajo de dicho motor si tiene un consumo de 1,5A? 2- ¿Cuál será la resistencia que tenga dicho motor?
Step-by-step explanation:
Drone motor that has a power of 25W. 1- What will be the working voltage of said motor if it has a consumption of 1.5A? 2- What will be the resistance of said motor?
Power of drone motor is 25 W
Current flowing through the motor is 1.5 A
Power of an electrical appliance is given by :
P = VI
V = working voltage of the motor
[tex]V=\dfrac{P}{I}\\\\V=\dfrac{25}{1.5}\\\\V=16.67\ V[/tex]
Voltage of the motor is 16.67 volts
Let R is the resistance of the motor. Using Ohm's law to find it as follows :
V=IR
[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16.67}{1.5}\\\\R=11.113\ \Omega[/tex]
Hence, this is the required solution.
there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay his preformers for each show. a: write an expression that could predict the owners profit if "n" people buy tickets for a preformance b: if the profit is $1,213, how many people attend? c: If the same number of people attended but the owner's expenses changed to $375, would the profit increase or decrease and by how much?
Answer:
The correct answers are the following:
A) P=12n-275
B) 124
C) Decrease by $100
Step-by-step explanation:
A) P=12n-275 - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.
B) 1,213=12n-275 - Plug in the value for P ($1,213).
1,488=12n - Add $275 to both sides.
124=n - Divide both sides by $12.
n=124 - This the number (n) of people that attended.
C) P=12n-375 - Change the value for expense to $375.
P=12(124)-375 - Plug in the value for n (124).
P=1488-375 - Simplify and find the difference.
P=1,113 - This is your profit.
1,113-1,213=-100 - $100 reduction/decrease of profit (or -$100 to profit)
Hope this helps!
What formulae can be used to solve quadratic equation in two variables?
Lin spent 80 minutes doing homework on Monday. Each day from Tuesday
through Friday, Lin spent half as much time doing homework as the day before.
How much total time did Lin spend doing homework, from Monday through
Friday? Explain how you know. *
Answer:
240 minutes
Step-by-step explanation:
Half of 80 is 40. So multiply 40 by 4 which is 160 minutes then add the 80 which equals 240 minutes
Overall 240 minutes Lin spend doing homework from monday to friday.
What is an expression?
Expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Since Lin spent 80 minutes on monday doing homework and from tuesday to friday he is doing half the work before which means he will be doing in 40 mintues now for 4 days that is from tuesday to friday.
Now overall time in mintues he spend on homework will be sum of mintues spent on monday and mintues spent from tuesday to friday :
overall = 80 + 40x4
= 240 minutes
Therefore, overall 240 minutes Lin spend doing homework from monday to friday.
Read more about property of multiplication here :
https://brainly.com/question/14391436
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