Answer:
A line that is perpendicular to the x-axis is a vertical like with a slope equal to infinity. A line parallel to it would have the same slope and will also be a vertical line perpendicular to the x-axis. As the line passes through the point (2, -1) its equation is x = 2.
Step-by-step explanation:
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If f(x) = 2x^2-4x-3
and g)-2x^2-16. find f(x) + g(X)
4X^24X +13
4XN2-4x-13
4X- 19
4X^2- 4x -19
Answer:
-4x - 19
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 2x² - 4x - 3
g(x) = -2x² - 16
Step 2: Find f(x) + g(x)
Substitute: f(x) + g(x) = 2x² - 4x - 3 - 2x² - 16Combine like terms (x²): f(x) + g(x) = -4x - 3 - 16Combine like terms (Z): f(x) + g(x) = -4x - 19The average distance from earth to the sun is 92.95 million miles. the actual distance varies from the average by up to 1.55 million miles. write and solve an absolute value equation to find the minimum and maximum distance from each to the sun. use d for distance.
The maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.
Given that the average distance from Earth to the Sun is 92.95 million miles, if the actual distance varies from the average by up to 1.55 million miles, the then;
Maximum distance = average distance + variation
Minimum distance = average distance - variation
Maximum distance = 92.95 million + 1.55million
Maximum distance = 94.5million miles
Minimum distance = 92.95 million - 1.55million
Minimum distance = 91.4million miles
Hence the maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.
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A 3-quart container of disinfectant costs $11.76. What is the price per cup?
Answer:
$2.94 per cup
Step-by-step explanation:
4 cups in a quart. 11.76÷4=2.94
The table above gives selected values for the derivative of a function g on the interval —1 x < 2. If g(—l) = —2 and Euler's method with a step-size of 1.5 is used to approximate g(2), what is the resulting approximation?
Answer:
(2.0, 2.5)
g(2) = 2.5
Explanation:
We can use Euler's Method by creating a table with 5 columns. The headers will be labeled, from left to right:
(x, y)dy/dxΔxΔy(x + Δx, y + Δy)We are given the starting point of (-1, -2). We can write this under the (x, y) column.
Check the given table for the dy/dx of the x-value we start with. We start with -1.0, so the chart says the change at this point is 2. Therefore, we can write 2 under the dy/dx column.
We are told the change in x is 1.5, so write 1.5 under Δx.
To calculate the change in y, multiply dy/dx times Δx.
2 * 1.5 = 3.0Write 3.0 under the Δy column.
For the last column, take the previous columns and add them together for the new point. Use this new point to repeat the process until you find g(2).
I've attached an image of the chart that I drew to represent this process. Let me know if you have any questions!
Three students were working on 630,000÷700 in math class.
a. Desiree finds the quotient is 9,000 and Micah finds the quotient is 900.
Determine which student found the correct quotient.
Question 2
Explain your thinking.
Question 3
b. Delilah finds her answer is 90, but she copied the expression incorrectly from the board. If her reasoning and answer for the expression she copied are correct, what expression might she have written?
Step-by-step explanation:
a) Desiree is correct 630000÷70=900
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Step-by-step explanation:
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If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
50!!!!!!!!!!!!!!!!!!!!! POINTS
Señor Ochoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden. The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale drawing. Make sure to label all three sides of the garden and include the new scale.
Answer:
You would multiply the horizontal and vertical lines by 3 to get 18 cm. Then using the pythagorean theorem, you can solve for the hypotenuse: 6^2 + 6^2 = c^2. We solve for C in this, which then equals 8.485 cm rounded to the nearest thousandth.
Step-by-step explanation:
Let me know if this helps :)
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How many mililiters is 3.78 liters
Answer:
3780
Step-by-step explanation:
slope of (3,4) (9,2)
Answer:
m= -1/3
good luck!
write an equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1
Answer:
y=3x+14
Step-by-step explanation:
We can use point-slope intercept form to find the equation of the line.
Equation: y-y₁=m(x-x₁)
**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].
1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:
y-5=[tex]\frac{1}{3}[/tex](x-(-3))
2. Simplify:
y-5=[tex]\frac{1}{3}[/tex](x+3)
3. Distribute & Simplify
y-5=[tex]\frac{1}{3}[/tex]x+1
3. Add 5 to both sides of the equation:
y=[tex]\frac{1}{3}[/tex]+6
The equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
What is the definition of the perpendicular lines?Perpendicular lines have been defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived out of the Latin word "perpendicularis," which means "a plumb line."For the given question;
The equation of the perpendicular line is given as;
y=-3x-1
Compare with the standard slope intercept form.
y = mx + c
m is the slope and c is the y intercept.
Say slope m1 = -3
Then, the relation for the slopes of two perpendicular lines are-
m1 x m2 = -1
m2 = -1/m1
m2 = -1/-3 = 1/3
This, line with the slope 1/3 passes through the points;
(x1, y1) = (-3, 5)
The equation of the line is obtained as;
y - y1 = m2(x - x1)
y - 5 = (1/3)(x + 5)
y = x/3 + 20/3
Thus, the equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
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if martha can rake the yard in 4 hours and her brother can rake the yard in 8 hours, how long does it take them to do it together?
Answer: 12
Step-by-step explanation:
4 hours plus 8 hours together is 12 hours.
Which of the following cannot be a probability ?
A) 2/3
B) 0
C) .001
D) -0.5
Why?
Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs away from the building and places a mirror on the ground between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the height of the building. How tall is the building in feet?
Answer:
IT'S 22 JUsT FOUND OUTStep-by-step explanation:
A croissant a cup of coffee and a fruit bowl from Kelly's coffee cart cost a total of $5.50 and a croissant cost twice as much as a cup of coffee Kelly post a notice announcing that effective next week the price of a croissant will go up 25% and the price of coffee will go up 20% after the increase the total price of the purchase will be $6.03. Find the cost of each item before the increase.
Answer:
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Step-by-step explanation:
Step 1
A croissant, a cup of coffee, and a fruit bowl cost $5.50 also a croissant costs twice as much as a cup of coffee
so let cost of a cup of coffee=C
cost of croissant=2C
cost of fruit bowl = F
Such that
C+2C+F= 5.50
3C+F=5.50.......equation 1
Also, effective next week, the price of a croissant will go up 25% and the
price of coffee will go up 20% Giving us that
new cost of croissant=(2C)(1+25/100)=2.5C
new price of coffee=(C)(1+20/100)=1.20C
new price of fruit bowl still remains unchanged =F
such that
2.5C +1.20C + F=6.03
3.7C+F=6.03----- equaton 2
Step 2
3C+F=5.50.......equation 1
3.7C+F=6.03----- equaton 2
By elimination method, we subtract eqn 1 from eqn 2
3.7C - 3C + F -F=6.03-5.5
0.7 C=0.53
C= 0.53/0.7
C=0.7571
2C= 1.5142
3C+F=5.50
3 X 0.7571 + F= 5.50
2.27 + F= 5.50
F= 5.50-2.271= 3.229
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
determine an equation of the sphere with center p(1, 2, −4) that passes through the point q(3, 4, −5).
The equation of the sphere is [tex]x^{2} + y^{2} + z^{2} = c^{2}[/tex].
A sphere with the simple equation r=c in spherical dimensions has the Cartesian equation [tex]x^{2} + y^{2} + z^{2} = c^{2}[/tex]
[tex]r^{2} = (x-h)^{2} + (y-k)^{2} + (z-l)^{2} \\r^{2} = (3-1)^{2} +(4-2)^{2} + (-5+4)^{2} \\r^{2} = 2^{2} + 2^{2} + -1^{2}\\ r^{2} = 4+4+1\\ r^{2} = 9[/tex]
[tex]= > r = \sqrt{9} \\[/tex]
r=3
What is the sphere's cartesian equation?Laplace's equation and the Helmholtz equation, two significant partial differential equations that appear in numerous physical issues, provide the separation of variables in spherical coordinates. The x-axis, which is horizontal, and the y-axis, which is vertical, make up the Cartesian coordinate system. In this system, equations for lines will include both the x and y variables. One example of a line in this system is the equation 2x + y = 2.
The coordinate system primarily utilized in three-dimensional systems is spherical coordinates of the system, represented as (r, ). The spherical coordinate system is used to determine the surface area in three dimensions. Three numbers are specified by these coordinates: the radial distance, the polar angles, and the azimuthal angle.
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Suri decided to get braces to straighten her teeth. The cost of the treatment plan was $5,000 which Suri was able to pay off over time. Each month Suri paid $125 until her account balance was $0 Which of the
following equations represents the account balance B (m) after m months?
A: B(m) 5000m- 40
B: B(m)-4Om + 5000
C: B(m) = 5000m- 125
D: B(m) =-125m + 5000
Answer:
d
Step-by-step explanation:
you have to divide 125 from 5000 so i believe i am right but if im not then im sorry
Please help!!! thank you!!! *will give brainliest*
Answer: Choice C
[tex]y = x^2+2, \ x \ge 0[/tex]
=============================================
Work Shown:
[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]
Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]
The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)
So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]
2a+3r+1.5p=29.75 (1)
a+r+p=13.50 (2)
a+3r+4p=29.00 (3)
Eliminate a by multiplying equation (2) by -1 and adding it to equation (3).
What is the resulting equation?
4r + 5p = 42.50
2r + 3p = 15.50
2r + 3p = 42.50
Answer:
2r+3p=15.50
Step-by-step explanation:
Answer:
The second part are 1 and A
Step-by-step explanation:
Thank me later
How do you find the slope on a graph?
Answer:
I am unsure of the specifics, I always used slope-intercept form.
Step-by-step explanation:
If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.
50-50+50-25÷3-2+9×5 ~2~3~5 ×0
Answer:
The answer for this mathematical problem is 119/3.
Step-by-step explanation:
Your alternative answers are the following:
39 2/339.6Hope this helps and if you could mark me as brainliest. Thanks!
Answer:
84.6666666667
Step-by-step explanation:
Evaluate the expression when p = 5:
−|−3p|
Answer:
the answer is p=2
Step-by-step explanation:
the right answer is p=2
Answer true or false for the numbers 18 and 30.
A common factor is 9.
O True
O False
Answer:
false
Step-by-step explanation:
9 does not go into 30
It’s 40 right?? I’m sorry I’m so confused
Answer:
Yes, 40 is correct. The valuable r is basically just a blank line and you have to fill it in this problem.
Step-by-step explanation:
Someone please help me please with this I really need help
Answer:
I think its c
Step-by-step explanation:
I think that's right
8–2(x + 10) = 4.-6
What is the value of x?
Rodrigo is tracking the number of visitors at two parks. He created these functions to model the total number of people visiting each park, where x is the number of hours after sunrise.
West Park: A(X) = -0.68x^3 + 7.05x^2 + 3.25x
East Park: B(x) = -2.08x^2 +22x+ 5
Which function models the total number of visitors at both parks each hour after sunrise?
A T(x) = -0.68x^3 + 9.13x^2 + 22x + 8.25
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
C. T(x) = -2.76x^3 + 7.05x^2 + 25.25x + 5
D. T(x) = -2.76x^3 + 29.05x^2 + 8.25
Answer:
The function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Step-by-step explanation:
Function for West Park: A(X) = [tex]-0.68x^3 + 7.05x^2 + 3.25x[/tex]
Function for East Park: B(x) = [tex]-2.08x^2 +22x+ 5[/tex]
We need to find the function that models the total number of visitors at both parks each hour after sunrise?
For finding total number of visitors we need to sum functions of A(X) and B(X) to get T(X)
So, we have
[tex]T(X)=A(X)+B(X)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x+(-2.08x^2 +22x+ 5)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x-2.08x^2 +22x+ 5\\Combining like terms\\T(X)=-0.68x^3+7.05x^2-2.08x^2+3.25x+22x+5\\T(X)=-0.68x^3+4.97x^2+25.25x+5[/tex]
So, function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Answer: For plato family
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
Step-by-step explanation:
I just took the test
Jessie deposited $6,000 in a savings account. The amount in the account after 1,2,3 years is shown below. $6,240, $6,480, $6,720
Which expression represents the total amount in her account at the end of the t years
Answer: 6000+240t I think
Step-by-step explanation:
The length of a rectangular field is three times its width.
a) Write an expression for the perimeter of the field.
b) Find the perimeter if the field is 300 m wide.
c) Find the length and width of the field if the perimeter is 1600 m.
Answer:
a) 3×L = width
b) 300 + 100 × 2 = 800
c) length = 600 & width = 200
Will mark Brainliest just answer the following questions
Answer:
domain: infinity to infinity
range: (-4, infinity)
increasing: (5, infinity)
decreasing: (2, 5)
maximum: na
minimum: y=-4
f(2)= 10
f(x)=-4, x= -8
Step-by-step explanation:
sorry if any of these are incorrect, I've learned to answer 3 different ways from 3 different teachers