Answer:
$8.96
Step-by-step explanation:
Sorry if its to late
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
word related with English
Answer:
um hi?
Step-by-step explanation:
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
81/11 as a mixed number
Answer:
7 4/11
Step-by-step explanation:
this is the answer
Answer:
7 4/11
Step-by-step explanation:
81/11= 7 4/11
) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?
Answer:
a) 15160 gallons
b) 3032 gallons
Step-by-step explanation:
Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week
a) when she raises the price by 10 cents per gallon
There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons
b) when she decrease the price by 2 cents per gallon
There will be an increase ( 2 * 1516 ) gallons sold per week i.e. = 3032 gallons
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4,1). Substitute the x and y values into the system and you should have the answer.
Answer:
option one
Step-by-step explanation:
What’s the measurement of the angle
Answer:
Step-by-step explanation:
Answer:
i think c
Step-by-step explanation:
not completely sure tho
a precision CD player costs $600 but was sold for $525 due to damage
. the percentage loss on the CD player
Answer:
12.5% (I think)
Step-by-step explanation:
75 is the amount of money lost, and 75 is 12.5 percent of 600
Answer:
12.5 percent decrease
Step-by-step explanation:
Use the formula
new-old/old
525 is new price being sold
600 is old price being sold
525-600
-75/600
-1/8
-1/8= -0.125
0.125= 12.5 percent
so 12.5 percent decrease.
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house
Answer:
$12,500
Step-by-step explanation:
Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.
Total change in the value of house= $245,000- $120,000=$125,000.
Total time (in years) between 2007 and 2017 = 2017-2007=10 years.
The value of the house changes by $125,000 in the time interval of 10 years.
So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.
Hence, the average annual rate of change in the value of the house is $12,500.
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
transversals angles
Answer:
It is C. 3
Step-by-step explanation:
Hope this helped have an amazing day!
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scarlett sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.
Answer:
The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].
Step-by-step explanation:
The data for a single day is s follows:
236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume.The total number of customers is, N = 236 + 202 + 40 = 478.
Let X denote the number of costumes purchased by the next person.
Compute the probability that the next person will purchase no more than one costume as follows:
[tex]P (X\leq 1)=1-P(X>1)[/tex]
[tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]
Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Thats insane tho!
Whats ur aops class that you take?
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.Please anyone answer it’s a time limit please answer please please help anyone please.
Answer:
(-3,-8)
Step-by-step explanation:
I would explain but that would take too much time.
Answer:
3-8
Step-by-step explanation:
emily is entering a bicycle race for charity. her mother pledges $0.40 for every 0.25 mile she bikes. if emily bikes 6 miles how much will her mother donate
Answer:
$9.60
Step-by-step explanation:
0.40(6/0.25)
0.40(24)
9.6
Answer:
the correct answer is $2.40
Step-by-step explanation:
0.40= every 0.25miles
for 6 miles it will be 2.40 because u multiply 6 with 0.40 and u get the answer
a group of fifth graders collected 46 cans of food to donate to three food banks. If each food bank is get an equal number of cans, how many cans do the each receive
Answer:
about 15.3.
Step-by-step explanation:
46 divided by 3. ig
Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute
for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.
Answer:
0.07m + 30 = 59.40
Mr Gonzalez used 420 minutes last month
Step-by-step explanation:
To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.
Then, add 30 to this to represent the monthly fee:
0.07m + 30
Lastly, set this equal to 59.40 because that was his total bill for the month:
0.07m + 30 = 59.40
So, the equation for the situation is 0.07m + 30 = 59.40
Solve for m in the equation:
0.07m + 30 = 59.40
0.07m = 29.40
m = 420
So, Mr Gonzalez used 420 minutes last month.
Answer:59.40
Step-by-step explanation:
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
4. What is the value of -24 + 6?
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?
Answer:
72
Step-by-step explanation:
24 x 3 = 72 just like the problem.
3 + 27y + 15z
x + 9y + 5z
Answer: sum
Step-by-step explanation:
Answer:
sum
Hope this helped!
Have an amazing day!
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
A school group is planning a trip to Jacksonville, Florida. There are 29 people going on the trip. They have agreed to share the total cost of the trip equally. Let s equal each person’s share of the cost. What is each person’s share of the cost? Solve this problem any way you choose. bus cost 7,830$ the hotel cost 10,034$ the meal cost 812$ the event ticket cost 435$ the cost of eveyting is 19,111$
Answer:659
Step-by-step explanation:
Is this correct? I’m too tired and confused to understand this..
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
uhmmmm... yea............
Answer:
You add 12.5+12.5+3.02+3.02 which equals 31.04
Step-by-step explanation: