Given:
Two values of a linear function are f (6) = 8 and f (9) = 3.
To find:
The linear function.
Solution:
According to the question f (6) = 8 and f (9) = 3, it means the function passes through (6,8) and (9,3).
If a linear function passes through two points then the equation is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, the equation of linear function is
[tex]y-8=\dfrac{3-8}{9-6}(x-6)[/tex]
[tex]y-8=\dfrac{-5}{3}(x-6)[/tex]
[tex]y-8=-\dfrac{5}{3}(x)-\dfrac{5}{3}(-6)[/tex]
[tex]y-8=-\dfrac{5}{3}(x)+10[/tex]
Add 8 on both sides.
[tex]y=-\dfrac{5}{3}(x)+10+8[/tex]
[tex]y=-\dfrac{5}{3}(x)+18[/tex]
Function form is,
[tex]f(x)=-\dfrac{5}{3}(x)+18[/tex]
Therefore, the required linear function is [tex]f(x)=-\dfrac{5}{3}(x)+18[/tex].
The lines represented by the equations 20y−24x=−20 and 5y−6x=−5 are...
a)perpendicular
b)the same line
c)neither parallel nor perpendicular
d)parallel
Answer:
parallel i think
Step-by-step explanation:
parallel because it's a unknown error
Answer:
Choice B
Step-by-step explanation:
The best way to compare two lines is to solve for y.
The first equation:
For [tex]20y-24x=-20[/tex] the first thing we should do is add the 24x on both sides which will cancel out itself on the left side [tex]20y=24x-20[/tex]. Now all we have to do is divide the 20 on both sides to leave us with [tex]y=\frac{6}{5}-1[/tex].
The second equation:
For [tex]5y-6x=-5[/tex] the first thing we should do is add the 6x on both side which will cancel itself on the left side [tex]5y=6x-5[/tex]. Now all we have to do is divide the 5 on both sides to leave us with [tex]y=\frac{6}{5}x-1[/tex].
Now for the comparison:
They are the same exact line. If you were to graph them they would overlap each other.
Answer the following questions below using the image
Answer:
A. 25:30
Sorry I'd help with the rest but my brain kinda died
Please! I’ll give brainliest!
Answer:
a. fill in 8out of the 10 rows of the grid. Then subtract 3/10ths of the squares that are filled in
b. 70/100 x 8/10 = 14/25 kg
c. 0.7 x 0.8 = 0.56 kg
d. less, by 0.24 kg
I hoped this helped! :)
Helen draw a massive circle she the
how to graph -2 f(x)
please andwer this for me <3
Answer:
C
Step-by-step explanation:
16 : 12
x : 6
- multiply 16*6 and divide by the number multiplying with the unknown (12)
(16*6)/12 = 8
- area of triangle is 1/2 h*b
so 1/2 * (16*8) = 64
Mark spent $135 on his comic book collection. He just sold it online for $310. Approximately what is the profit as a percent of his original cost?
Answer: $4.45
Step-by-step explanation: you will get $4.45
Answer:
it should be 445%
Step-by-step explanation:
The number 3.14159, correct to 3 decimal places, is?
Answer:
3.142
Step-by-step explanation:
59 is above 0.5 so therefore that part needs to be rounded up to 3.142.
Can someone explain to me how to solve this kind if problems?
Answer:
You would have to Multiply
Step-by-step explanation:
The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!
Answer:
28 people played a video game
Step-by-step explanation:
Solve for x: -9x + 13 = -14
Answer:
3
Step-by-step explanation:
- rearrange: -9x= -14 -13
x = -27/-9 = 3
Equity in your home = fair market value - outstanding balance. If your home is worth $125,000 and you have an outstanding balance of $36,000, what is your equity?
Answer:
89,000 I think
Step-by-step explanation:
just subtract 125,000 by 36,000
although Its a guess
Answer:
$89,000
Step-by-step explanation:
To find your equity, subtract the outstanding balance from your home value:
125,000 - 36,000
= 89,000
So, your equity is $89,000
To encourage Jack to read during the summer, his father offers an incentive (reward). He will pay Jack $5 for the first book he reads. For each
additional book Jack reads, his father will pay him an amount that is equal to some percentage, x, of the amount he paid for the previous book. Jack's
father agrees to let Jack choose a value for x, and Jack would obviously like his total earnings to be as large as possible.
Which of these options will allow Jack to earn an unlimited amount of money from his father, as long as he reads more and more books?
Play
X= 5%
X=25%
X=99%
X=101%
Answer:
x=25%
Step-by-step explanation:
what is -1/6 multiplied by 6
Answer:
[tex]-1[/tex]
Step-by-step explanation:
Step 1: Multiply
[tex]-\frac{1}{6} * \frac{6}{1}[/tex]
[tex]-\frac{1*6}{6*1}[/tex]
[tex]-\frac{6}{6}[/tex]
[tex]-1[/tex]
Answer: The correct answer is -1
What is the slope of a line parallel the the line whose equation is x+y=5. Fully reduce your answer.
Answer:
m = -1
Step-by-step explanation:
Find the slope of this line.
x+y=5
y= (-1)x+5
Slope (m) = -1 <-- from y = mx+b
A line parallel to the line will have the slope -1.
write a real word problem that can be modeled by 4 x (-7)
Answer:
The bakery also has 4 cakes, and Yena wants to get 7 times the cake from the bakery. How much will all of Yena take?
Step-by-step explanation:
can I get some help;
Answer:
I was never good at this in math...
Answer:
X = 30
Y = 14
Step-by-step explanation:
x/20 = 18/12
multiply both sides by 20
x = 18/12 x 20 = 30
y/21 = 12/18
multiply both sides by 21
y = 12/18 x 21 = 14
end of each of the next 20
Suppose you earned a $555,000 bonus this year and invested it at 8.25% per year. How much could you withdraw
years?
Select the correct answer.
a. $57,592.18
b. $57,500.68
c. $57,575.18
d. $57,609.18
e. $57,583.68
Answer:
Annual withdraw= $57,583.68
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $555,000
Interest rate (i)= 0.0825
Number of periods (n)= 20
To calculate the annual withdrawals, we need to use the following formula:
Annual withdraw= (PV*i) / [1 - (1+i)^(-n)]
Annual withdraw= (555,000*0.0825) / [1 - (1.0825^-20)]
Annual withdraw= $57,583.68
Help will give crown!!
Answer:
Mixed number: [tex]3\frac{15}{100}[/tex]
Improper fraction: [tex]\frac{315}{100}[/tex]
Step-by-step explanation:
A mixed number is a number that contains an integer part and a fraction part.
An improper fraction is a fraction where the numerator is greater than the denominator.
[tex]3.15[/tex] can be written as [tex]\frac{315}{100}[/tex] in its fraction form. This would be an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]3\frac{15}{100}[/tex] since [tex]100[/tex] goes into [tex]315[/tex] three full times and the remainder is [tex]15[/tex].
∴The mixed number is [tex]3\frac{15}{100}[/tex] and the improper fraction is [tex]\frac{315}{100}[/tex].
2. Which of the following is contained in the solution for the
inequality 5x < 3(x + 2) + 2 ? Justify your answer for full credit.
A.
4
C. 7
B.
2
D.
15
I NEED SOMEONE TO HELP ME WITH MATH RIGHT NOW
Answer:
where is it
Step-by-step explanation:
8th Grade Math.Help me Lol Thanksss Which graph represents a decreasing trend?
The last graph
Because it's going toward the negative numbers.
help asap!!
The graph of a linear function is shown on the grid.
Which equation is best renresented by this graph?
A restaurant sells 6 tacos for $5.40. What is the unit rate?
Answer: 90 cents a taco.
Step-by-step explanation: To find the rate in this case, we can simply divide the cost by the given number of tacos, (5.4 / 6), yielding .90. Consider marking this answer as brainliest if it helped you out.
64 is 66 2/3% of what number
Answer:
Step-by-step explanation:
0.95
PLEASE HELP
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{1, -1, -11, -21}
B.
{-1, 1}
C.
{-1, 0, 5, 10}
D.
{-1, 10}
What is the domain of the set of ordered pairs above
c {-1 ,0, 5, 10}
Answer:
c {-1 ,0, 5, 10}
Step-by-step explanation:
What are the three ways that you can measure pH?
Please help
Thank you
Answer:
Beginner. Use a paper strip coated in a pH indicating dye. Dip the strip into the water and wait for the strip to change color. ...
Intermediate. Use a pH testing kit for liquids. ...
Advanced. A digital pH meter can be used to obtain the most accurate reading of the pH level.
Step-by-step explanation:
Solve using the substitution method:
y = -2x - 7
y = 3x + 3
How many solutions does this equation have?
–5d + 6 = 6 − 5d
Answer:
maannnyyy
Step-by-step explanation:
Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.
Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?
Answer:
y = 5x + 10
Step-by-step explanation:
using the formula y = mx + b you can easily find the answer.
where
m = the rate of change
b = constant
x = the independent variable
Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.
Since he will be adding $5.00 to the account every month we know that this is the rate of change.
the variable x will change depending on the number of months passed.
Therefore we can create the equation:
y = 5x + 10
