write an equation that is perpendicular to x - 3y =3 and passes through the point (5,-9) in slope-intercept form.
9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
A music group expects to sell a new compact disc (CD) at the rate R(t)=20,000e−0.12t CDs per week, where t denotes the number of weeks since the CD was first released. To the nearest thousand, how many CDs are expected to be sold during the first 12 weeks after the release?
Answer:
4739 CDs
Step-by-step explanation:
Given the function that models the rate at which the disc is sold expressed as;
R(t)=20,000e^−0.12t
t is the number of weeks since the CD was first released
We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;
R(t)=20,000e^−0.12t
R(12)=20,000e^−0.12(12)
R(12)=20,000e^−1.44
R(12)=20,000(0.2369)
R(12) = 4738.56
Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs
Answer:
127,000
Step-by-step explanation:
you take the integral from 0 to 12 of R(t)
(help asap!!!!) Wyatt is 6 years older than 2 times the age of his nephew. Wyatt is 32 years old. How old is his nephew?
Answer:
His nephew is 13
Step-by-step explanation:
Reverse the given process,
32 - 6 = 26,
26 ÷ 2 = 13,
The answer is 13.
Answer:
13
Step-by-step explanation:
13 times 2 plus 6 is 32
An equation for the line whose slope is 4 and which passes thorough the point (-5,3)
Answer:
y = 4x + 23
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23[/tex]
The equation of the line is required.
The equation of the line is [tex]y=4x+23[/tex]
Equation of line[tex]m[/tex] = Slope of line = 4
Point = [tex](-5,3)[/tex]
[tex]x_1=-5[/tex]
[tex]y_1=3[/tex]
Equation of a line is given by
[tex]y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23[/tex]
Learn more about equation of line:
https://brainly.com/question/13763238
How am I supposed to do?
Just need 15 and 16 help will mark as brainliest answer
Answer:
15. 12, 16. 18
Step-by-step explanation:
a = pi*r^2
15) 36pi = pi*r^2 --> 36 = r^2 --> 6 = r --> 12 = d
16) 81pi = pi*r^2 --> 81 = r^2 --> 9 = r --> 18 = d
Jesse uses the function f(x) = 0.25x + 20 to calculate her phone bill each month, in dollars, where x is the number of minutes she uses. What does 0.25 represent?
Answer:
c hope this helps!
Step-by-step explanation:
The function d = 8f + 24 represents the monthly cost d (in dollars) of a group of f members joining the fitness club. a. Identify the independent and dependent variables (don’t say f and d).
Answer:
D represents the dependent variable: the monthly cost in dollars is your independent variable
F represents the independent variable: the number of members joining the fitness club
Step-by-step explanation:
The amount of money depends on how many members come and join the fitness club because more money is spent more with more members
what is the answer to this question ????????????
Answer:
umm
Step-by-step explanation:
if a=1 b=2 c=3 find the value of 4a3b2
Answer:
14
Step-by-step explanation:
a4=4
3b=2 x 3=6
2c=2 x 3=6
Answer:
48
Step-by-step explanation:
We just need to put in the values of a and b.
4a3b² = 4(1) × 3(2)²
= 4 × 3(4)
= 4 × 12
= 48
A $4 sales tax is charged for a $50 purchase. At this rate, what is the sales tax for a $1200 purchase?
Answer:
$96
Step-by-step explanation:
(4+x) divided by 12.
im stuck heree :(
Steps:
See attachment.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.
For more steps and graph see the attachment.
Answer: 1/12 x + 1/3
Hope this helps.
Hereeeeeee helllllllpp lol
0.9 to the 2 power =
Answer:
0.81
Step-by-step explanation:
MAKE ME BRAINLIEST PLEASEE <333
Answer:
0.81
Step-by-step explanation:
the answer is 0.81
0.9×0.9=0.81
8. Gisele spins a spinner that has equally
sized yellow, green, blue and red
sections. What is the probability that
Gisele spins orange?
Answer:
0
Step-by-step explanation:
it was never stated that there was orange on the spinner
Solve the function algebraically. -8|3 - 8x| = 40
Answer: x =1
Distribute
add 24 to each side
simplify
divide both sides by the same term
simplify
67 x 10 to the fourth power
Answer:
670000
Step-by-step explanation:
67 * 10^4
67 * (10*10*10*10)
= 670000
Answer:
670,000
Step-by-step explanation:
You'd do 10^4 first which is 10,000.
Then multiply 10,000 by 67.
67*1 is 67. Add the 4 zeros and you get...
670,000
A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water should be used with 2 cups of sugar? Type your answerin
Answer
6 cups!
Step-by-step explanation:
can someone help me !
Answer:
Your answer is 3 100000000000% i did the math lol
Step-by-step explanation:
CAN U PLZ HELP MEE DONT SCROLL DOWN ILL GIVE BRAINLLEST PLZ PLZZZZ
Answer:
75.4
Step-by-step explanation:
v = pi * r^2 * h
v = 3.14 * 4 * 6
v= 3.14 * 24
v= 75.36 m^3
to the nearest tenth is 75.4 m^3
...................pls help!!!!!
What is the irs ? In math
Answer: What is the IRS's math error authority? Congress has granted the IRS “math error authority,” which allows the IRS to make certain summary adjustments to a taxpayer's return. If the changes lead to a greater amount of tax, the IRS would make an assessment.
tatiana earns money by babysitting her little cousin. when she babysits for 7 hours she earns 94.50. which equation represents her total wages based on the hours that she works?
answers:
y=2x
y=7x
y=27x
y=13.50x
Answer:
y=13.50x
Explanation:
94.50/7 = 13.5
hold on i think im wrong who knows sorry
A circle has a diameter of 6 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
Answer:
The numerical value of the circumference is greater than the numerical value of the area.
Step-by-step explanation:
This has already been answered
The numerical value of the circumference is less than the numerical value of the area.
Which statement is true?For a circle of radius R, remember that the diameter is twice the radius, we have:
area = pi*R^2
And the circumference is:
C = 2*pi*R
In this case, we have:
D = 6m
R = 6m/2 = 3m
The circumference is:
C = 2*3.14*3m = 18.84m
And the area:
A = 3.14*(3m)² = 28.26 m^2
So the area is larger than the perimeter, the true statement is:
"The numerical value of the circumference is less than the numerical value of the area."
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ2
What is the solution of the equation:
[tex] \sqrt{5 - 2x } = 3i[/tex]
O 1
О 4
O 7
О -2
can someone please help me find out what LN and KN is
Answer:
LN= 3,9
KN=-2,9
Step-by-step explanation:
its that answer because on the number lime L is 3 and N is 9 and K is -2
WILL GIVE BRAINLIEST
This table represents a linear function.
x y
0 5
5 15
This graph represents another function.
The greater unit rate of the two functions is ____. The greater y-intercept of the two functions is _____.
Given:
One linear function represented by the table.
Another linear function represented by the graph.
To find:
The greater unit rate and greater y-intercept.
Solution:
Formula for slope (unit rate):
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.
[tex]m_1=\dfrac{15-5}{5-0}[/tex]
[tex]m_1=\dfrac{10}{5}[/tex]
[tex]m_1=2[/tex]
So, the unit rate of first function is 2.
From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.
[tex]m_2=\dfrac{0-6}{-4-0}[/tex]
[tex]m_2=\dfrac{-6}{-4}[/tex]
[tex]m_2=\dfrac{3}{2}[/tex]
So, the unit rate of first function is [tex]\dfrac{3}{2}[/tex].
Now,
[tex]2>\dfrac{3}{2}[/tex]
[tex]m_1>m_2[/tex]
And,
[tex]15>6[/tex]
Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.
Answer:
The greater unit rate of the two functions is 2.
The greater y-intercept of the two functions is 6.
Step-by-step explanation:
yay!
Help I will mark brainliestttt plzzz
Answer:
b. 8 weeks
Step-by-step explanation:
Answer:
It’s b it’s 8
Step-by-step explanation:
Please mark me brainleist
Evaluate each expression by replacing the variable with 8. Show each step. (8 marks) 2n - 6
Answer:
10
Step-by-step explanation:
2n-6
n=8
2(8)-6
16-6
10
a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?
Answer:
y = 1/3x -2
Step-by-step explanation:
the equation for slope intercept form is y= mx + b.
m is the slope and b is where the line crosses the y-axis which is called the y-intercept.
to find the y-intercept plug in a coordinate on the line (6,0)
0 = 1/3(6) + b
then solve for b by first multiplying 1/3 by 6
0 = 2 + b
subtract 2 from both sides
-2 = b
and then you can plug b into the equation
y = 1/3x - 2
