Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
PLZ HELP ASAP!!! 9 equals x over 2 + 2
if 400g is 1kg find the ratio in the simplest form
Answer:
2 : 5
Step-by-step explanation:
The quantities must have the same units of measure
400 g : 1 Kg
= 400 g : 1000 g ← divide both parts by 200
= 2 : 5
PLS ANSWER QUICK, HELP AND EXPLAIN
Answer:
136 ft²
Step-by-step explanation:
floor = 7 x 6 = 42 ft²
sides = 2 x 7 x 5 = 70 ft²
ends = 1/2 x 6 x 4 x 2 = 24 ft²
42 + 70 + 24 = 136 ft²
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
answer:
i believe 28
Step-by-step explanation:
5.
Put the following fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2
Answer:
4/7, 1/4,1/2, 2/3
Step-by-step explanation:
Determine the missing side length
Hope this helps the answer is 97!
How many 1- foot rulers laid end to end would it take to equal 9 yards?
Answer: 27
Step-by-step explanation: hope this help
Pls help me , ASAP , TIA
Answer:
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon.
Answer:
$54
Step-by-step explanation:
[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.
180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.
216/4 = $54 - share of each one of the 4 people
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?
Answer:
Step-by-step explanation:
(a) What proportion of 18- to 34-year-old respondents are more likely to buy when made in their country? What proportion of 35- to 44-year-old respondents are more likely to buy when made in their country?
The proportion of 18- to 34-year-old respondents is
0.66
The proportion of 35- to 44-year-old respondents is
0.56
(b) What age group has the greatest proportion who are more likely to buy when made in their country?
18-34 yrs
(c) Which age group has a majority of respondents who are less likely to buy when made in their country?
55+
(d) What is the apparent association between age and likelihood to buy when made in their country?
As age decreases, the likelihood to buy homegrown increases
Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answer:
wdym
Step-by-step explanation:
Can someone explain the answer Im lost
Answer:
1/4
Step-by-step explanation:
Probability of getting an odd number on a die = 3/6 = 1/2
Probability of getting tails on a coin = 1/2
Now you multiply both probabilities since the question says "and". If it says "or", then you add the probabilities.
1/2 × 1/2 = 1/4
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing
Answer:
triangle
Step-by-step explanation:
only look at the cut off part
Answer:
I believe that the shape is formed to be a circle
Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. 0.625 of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?
Answer:
Step-by-step explanation:
70
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to. Each sample contains 65 responses, and the standard error of the mean is 44.8.
Use this information to complete the statement. Round your answer to the nearest hundredth.
The standard deviation is approximately(blank) .
Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
Brainliest for correct answer
Angle ACB and angle ECD are
angles.
vertical
complementary
supplementary
none of the above
Answer:
vertical
Step-by-step explanation:
When two lines intersect, 4 angles are formed. Two non-adjacent angles are called vertical angles.
Answer: vertical
Answer:
Vertical
Step-by-step explanation:
Just did the lesson and checked the answer key :D
the picture has the question
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
I need help and it’s due soon
Answer:
Point A
Step-by-step explanation:
Answer:
point A
Step-by-step explanation:
The point A is opposite with the point R and the x-axis is between them.
Pls help because I’m not sure
B
Step-by-step explanation:
Help Broo i'm lost il give brainiest
Answer: here is your answer
Step-by-step explanation:
A= 16
B= -8
C= 6
D= -16
E= -4
Hi pls help ASAP no links or you will be reported and terminated. Pls and Thx.
Answer:
Area = [tex]x^{2} +2x+2[/tex]
Perimeter = [tex]4x+1[/tex]
Step-by-step explanation:
So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s
add that together you get [tex]x^{2} +2x+2[/tex]
Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.
In total that is [tex]4x+1[/tex]
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answer:
$5
Step-by-step explanation:
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is cubic feet, and the volume of fish tank B is cubic feet. So fish tank has a greater volume. Its volume is greater by cubic feet.
Answer:
The volume of fish tank A is 200 cubic feet, and the volume of fish tank B is 160 cubic feet. So fish tank A
has a greater volume. Its volume is greater by 40 cubic feet.
-
I just finished the Unit Test and got it right, so I hope this helps.
(Bold is the answer(s) for each slot)
Alam Subscribes to a website for processing her digital pictures The Subscription is 5.95 Per month and each 4 x 6 photo cost $.19 each. If she has a total of $15.83 in her website account, How many photos did she print at least?
Group of answer choices {select all that apply}
52 or more
52 or Less
77 or more
As many as she wants
Answer:
77or more
Step-by-step explanation:
what the formula of a triangle?!
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation: