Answer:
Linear function is the function that produces a straight line as graph.
Linear function is a relationship in the form of:
Slope-intercept: y = mx + b
Point-slope form: y - y1 = m(x - x1)
Standard form: Ax + By = C
Answer:
A liner function is an equation that shows that makes a straight line on a graph
Step-by-step explanation:
like y=mx+b
Solve
3(2x - 5) = 9(10 - x)
Answer:
x=7
Step-by-step explanation:
3(2x - 5) = 9(10 - x)
6x-15=90-9x
6x+9x=90+15
15x=105
x=7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
First, we need to expand the brackets:
[tex]3(2x-5)=9(10-x)[/tex] (equation given)
[tex]6x-15=90-9x[/tex]
[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)
[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)
[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)
Hope this helps :)
At Fenway park, they sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less dogs. How many hot dogs should they sell to maximize profit?
Answer:
4,100
Step-by-step explanation:
Let x be increase in the price % and f(x) be revenue
Revenue = Sales price*Total number hot dog sold
Hot dog sold = $4/dog
Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)
f(x) = 2000 - 800x + 1250x - 50x^2
f(x) = -50x^2 + 450x + 2000
To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0
f1(x) = -100x + 450
0 = 0100x + 450
x = 4.5
Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)
= 5000 - 900
= 4100
Thus, the number of hot dog sold = 4,100
Which of the following represents the probability that someone who
works full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)
Answer:
The correct option is;
(E) P(full time) × P(credit card debt over $5,000)
Step-by-step explanation:
The given parameters are;
The mode of employment of a person = Full time
The amount of debt in the credit card = More than $5,000
The probability that a person works full time = P(full time)
The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)
Therefore, the probability that someone who works full time has more than $5,000 in credit card debt = P(full time) × P(credit card debt over $5,000)
-18y+7yz-4z
(simply the expression)
please help
Answer:
-18y + 7yz - 4z
Step-by-step explanation:
6-2x=5x-9x+12 what is the value of x
its for savvas realize
Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.
Step-by-step explanation:
6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.
Answer:
x=3
Step-by-step explanation:
6-2x=5x-9x+12
6-2x=-4x+12
-2x+4x=12-6
2x=6
x=6/2
x=3
what is the measure of <x
Answer:
47
Step-by-step explanation:
180 - 133 = 47
Answer:
The measure of x is 47°
Step-by-step explanation:
180°-133°=47°
ANSWER ASAP
Which equation represents the linear function that is shown on the graph below?
y = 1/2x + 4
y = 1/2x-2
y= 4x -2
y= -2x +4
Answer:
y=1/2x-2
Step-by-step explanation:
A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
What is the quantity of pairs and how much are they each pair??
Answer:
They buy at wholesale and sell at an 80% markup. The retail prices are;
0 - 20 pairs.
= 25 * 1.80
= $45.00
21 - 40 pairs
= 23 * 1.80
= $41.40
41 - 60 pairs
= 21 * 1.80
= $37.80
61 - 80 pairs
= 19 * 1.80
= $34.20
81 or more pairs
= 17 * 1.80
= $30.60
Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
Answer:
4 units
Step-by-step explanation:
C
The stock of Company A gained 2% today to $79.56. What was the opening price of the stock in the beginning of the day?
Answer: $78
Step-by-step explanation:
From the question, we are informed that the stock of Company A gained 2% today to $79.56. The opening price of the stock in the beginning of the day will be calculated as:
= [100% / (100% + 2%)] × 79.56
= (100% / 102%) × 79.56
= 1/1.02 × 79.56
= 79.56/1.02
= 78
Therefore, opening price of the stock in the beginning of the day is $78
Write the equation of a line that is perpendicular to the graph of y = 1/2 x + 3, and passing through the point (-3, 5). Show work
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
a) Write an equation for the line of best fit.
4. The table below shows the number of rabbits
a petting zoo each year since 2008.
Rabbits
Year
2008
14
2009
2010
24
30
b) Estimate the number of rabbits at the farm in
2016.
39
2011
2012
45
57
2013
Answer:
Step-by-step explanation:
For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate
Find the first three terms of the sequence below. T n = n 2 + 3 n + 4
Answer:
9,14,19
Step-by-step explanation:
You seem to be giving the expression 2n+3n+4.
Now simplify
An = 5n+4
Fill in n
5(1) +4
5(2) +4
5(3)+4
After solving and simplifying you see 9, 14 and 19 are the first 3 terms.
Can someone answer this?
Answer:
I got you it
Step-by-step explanation:
B and have a good day
Neuma had a container that held of a kilogram of rainbow sprinkles. She divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. To determine the weight of each serving, Neuma performed the calculations below.
Answer:
Neuma should have only divided 9 by 9, not 54 by 9
Step-by-step explanation:
i hope it helps and is correct
Answer:
C is the answer
Step-by-step explanation:
-2/5(10x-3)-8.4> -12.4 i need the answer quick
Answer:
x < [tex]\frac{10}{13}[/tex]
Step-by-step explanation:
hope this helps :)
J. 26
ply answering the following qu
Learning Task 1. Write the letter before the number. The letters will spell out
the Khmer greeting.
1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?
G. 23
H. 24
I. 25
2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,...?
T. 8, 10, 18 U. 8, 13, 21 V. 8, 12, 16 W. 8, 11, 14
3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?
M. 8, 16, 32 N. 8, 14, 28 0.8, 18, 28 P. 8, 12, 16
4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?
Q.-2
R. 2
S. 3
T. -3
5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?
I. 25
J. 30
K. 35
L. 40
6. If a1 = 2, d = -2, then what is a 12?
T. -20
U. -22
V. 20
W. 22
7. What is the common ratio of the given sequence 1000, 500, 250, 125?
R.
Q. -2
S.
P. 2
8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?
1
T.4
U. 62
S. 2
V. 8
9. What is the Khmer greetings?
Answer: See explanation
Step-by-step explanation:
1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?
This will be:
= 5n + 1
= 5(5) + 1
= 25 + 1
= 26
2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,....
Fibonacci sequence means that you'll add the two previous numbers given to get the next number. Therefore, the next numbers will be:
3+5 = 8
5+8 = 13
8 + 13 = 21
The numbers are 8, 13 and 21.
3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?
a = 4
ar^4 = 64
We replace a with 4
4r^4 = 64
r^4 = 64/4
r^4 = 16
r = 2
2nd term = ar = 4 × 2 = 8
3rd term = ar^2 = 4 × 2^2 = 4 × 4 = 16
4th term = ar^3 = 4 × 2^3 = 4 ×✓8 = 32
The numbers are 8, 16 and 32.
4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?
Common ratio = 2nd term / 1st term
= ar / a
= -6/3
= -2
5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?
an = 3n - 5
= 3(10) - 5
= 30 - 5
= 25
6. If a1 = 2, d = -2, then what is a 12?
a12 = a + (n - 1)d
a12 = a + (12 - 1)d
a12 = a + 11d
a12 = 2 + 11(-2)
a12 = 2 - 22
a12 = -20
7. What is the common ratio of the given sequence 1000, 500, 250, 125?
Common ratio = 2nd term / 1st term
= 500 / 1000
= 1/2
8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?
a = -10
d = -8 - (-10) = -8 + 10 = 2
8th term = a + (n - 1)d
= a + (8 - 1)d
= a + 7d
= -10 + 7(2)
= -10 + 14
= 4
9. What is the Khmer greetings?
It is a greeting used by Cambodians when they meet and they will say Choum Reap Sur which simply means Hello. Also, when they're leaving they'll Som Pas and then the person will say Choum Reap Lir which mean Goodbye. It should be noted that Don Pas is used by Cambodians to greet and to also show respect for someone.
5. A line crosses through the points (0, 2) and
(-10, - 16). Which of the following is the slope
of the line?
Answer:
Option B
Step-by-step explanation:
In order to find the answer you must use the formula for slope, substitute the values, and solve.
[tex]P = (0,2) = (x1,y1)[/tex]
[tex]P=(-10,-16)=(x2,y2)[/tex]
[tex]Slope = \frac{y2-y1}{x2-x1}[/tex]
Substitute:
[tex]Slope = \frac{-16-2}{-10-0}[/tex]
Solve:
[tex]-16-2=-16+-2=-18[/tex]
[tex]-10+0=-10[/tex]
[tex]=\frac{-18}{-10}[/tex]
Reduce:
[tex]18\div2=9[/tex]
[tex]10\div2=5[/tex]
Remember that a negative divided by a positive equals a negative
[tex]=-\frac{9}{5}[/tex]
Hope this helps
need help please!!!!!!!!!!!!!!
Answer:
(AD)^2=(AB)^2-(BD)^2
(AD)^2=(15)^2-(12)^2
(AD)^2=225-144
AD=√81
AD=9.
determine the principle that will earn $200 as simple interest after 8 years at 5% per annum.
Answer:25
Step-by-step explanation: 200/8=25x5=125
The distance between two towns is 180 kilometers.
There are approximately 8
kilometers in 5 miles.
Which measurement is closest to the number of miles
between these two towns? (To get full credit show the
proportion and the one step equations)
75 mi
117 mi
113 mi
3 mi
Can someone help please ?
Answer:
The answer is D.
Answer:
i did this in Algebra 1
it's D.
Step-by-step explanation:
:)))
The area of the shaded region
Answer:
37.7
Step-by-step explanation:
Large circle = [tex]\pi[/tex]r² = [tex]\pi[/tex]5² = 78.54
Medium circle = [tex]\pi[/tex]3²= 28.27
Small circle = [tex]\pi[/tex]2²= 12.57
78.54-28.27-12.57 = 37.7
Can someone help me with this fast please?
Thank You
Answer: 3/10
Step-by-step explanation:
2/7= 20/70
3/10= 21/70
Determine whether the following graphs represent a function by using the vertical line test
Answer:
A function passes the vertical line test when it doesn't hit the same spot twice. If I am correct the answers are below.
Step-by-step explanation:
A)Yes
B)Yes
C)No
D)Yes
E)No
F)Yes
I'm struggling please help
Answer:a
Step-by-step explanation:
Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.
If the prime factors of a number are all the prime numbers less than 10 and no factor is repeated, what is the number?
Answer:
there are multiple answers to the question like 3, 5, and 7
Step-by-step explanation:
Dan buys a car for £2500.
It depreciates at a rate of 4.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2080.00
Step-by-step explanation:
4.2%*4= 16.8%
16.8%*2500= 420
2500-420= 2080
The value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.
What is the depreciation rate?The rate of depreciation is the percentage by which the value of an asset decreases over time.
To calculate the value of the car after 4 years, we need to apply the depreciation rate of 4.2% to the original value of £2500 for each year.
First, we can calculate the value of the car after one year:
Value after one year = £2500 - 4.2% of £2500
= £2500 - 0.042 x £2500
= £2500 - £105
= £2395
Then, we can use this value as the starting point to calculate the value after two years,
Value after two years = £2395 - 4.2% of £2395
= £2395 - 0.042 x £2395
= £2395 - £100.29
= £2294.71
Similarly, we can repeat this process for the third and fourth years:
Value after three years = £2198.26
Value after four years = £2105.80
Therefore, the value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.
Learn more about depreciation rate here:
https://brainly.com/question/16688819
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A 2-column table with 3 rows titled Sale Price Calculation. Column 1 has entries Original price, markdown, sale price. Column 2 has entries 12 dollars, 2 dollars and 40 cents, 9 dollars and 60 cents. Which situation is modeled here? an item marked down 20% to $12 an item marked down 12% to $9.60 an item marked down 20% to $9.60 an item marked up 20% from $12
Answer:
C
Step-by-step explanation:
got it right
Answer:
an item marked down 20% to $9.60
Took it on edge Have a splendid day <3
Sunny’s Surf Shop sold 300 surfboards this week, which was 150 percent of the number of surfboards sold last week. How many surfboards did Sunny’s Surf Shop sell last week? *
Answer:
B IS THE ANWSER
Step-by-step explanation:
.