Answers
Answer:
y=4x
Step-by-step explanation:
y2-y1/x2-x1
8-4/2-1
4/1
4 is the slope
We can find the intercept by finding when x is equal to zero by continuing the order pairs
(8,2),(4,1),(0,0)
The intercept is 0
Y=mx+b
M-slope
b- y intercept
hopes this helps please mark brainliest
Related Questions
Amazing news! Cher is not only still alive, but will be visiting Salt Lake as part of her "Sixth Decade Still Touring" tour. Unfortunately, this legendary diva's career has aged like cheap milk left in the school lockers over summer vacation. Sales are off to a poor start.
On the first day of ticket availability, the venue sells 133 tickets. Each subsequent day sells 11 fewer tickets than the day before. If this pattern continues, how many tickets will be sold total?
Answers
Answer: 870
Step-by-step explanation:
The tickets will sell until there is a day when a non-positive number of tickets will be sold.
[tex]\lfloor 133/11 \rfloor=12[/tex], so this will be after 12 days.
Thus, we can interpret this as an arithmetic series with 12 terms, a first term of 133, and a common difference of -11.
The sum of this series is [tex]\frac{12}{2}[2(133)+(12-1)(-11)]=870[/tex].
You deposit $100 each month into an account earning 5% interest compounded monthly.
A) How much will you have in the account in 15 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
Answers
Answer: 100 x 1.05^(15x12) = $651739.184097
Step-by-step explanation:
-14 > w + 3 or 3w ≥ -27
Answers
The solution set of the inequalities given in the task content is described as; (-infinity, -17) U [ -9, infinity).
What is the solution set for the given pair of inequalities?It follows from the task content that the solution set containing values of w which render the pair of inequalities true be determined.
On this note, since the inequalities given are;
-14 > w + 3 or 3w ≥ -27
By solving the inequalities individually; we have;
-14 > w + 3
Subtract 3 from both sides of the equation so that we have;
-14 - 3 > w; Therefore, -17 > w.
Also, 3w ≥ -27
Therefore; w ≥ -9.
On this note, it follows that; w < -17 or w ≥ -9.
Consequently, the solution set of the inequalities can be represented using interval notation as;
(-infinity, -17) U [ -9, infinity)
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What´ś the answer for the employee´s wage
Answers
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-4(x + 3) ≤ -2x
Answers
To see the graph in the below attachment. The graph of inequality is x > -6 .
Given,
In the question:
The inequality is given as:
-4(x + 3) ≤ -2x
What is inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Now, According to the question:
Solution set of inequality -4(x + 3) ≤ -2x
-4(x + 3) ≤ -2x
Apply the Distributive property :
-4x - 12 < -2x
Rearrange the variables:
-4x + 2x < 12
Combine like terms:
-2x < 12
Divide both sides:
x > -12/2
Cross out the common factor:
x > -6
Hence, To see the graph in the below attachment. The graph of inequality is x > -6 .
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Question 1 of 10
Which function is the inverse of f(x)=x²-16 if the domain of f(x) is
X20?
O A. f¹(x)=√x+16
OB. f(x)=√x + 4
O c. f¹(x)=√√x-16
OD. f(x)=√T-4
SUBMITTING
Answers
For the given function f(x) = x²-16 , the inverse of the function if the domain f(x) is x> 0 is equal to f⁻¹(x) = √x+16.
As given in the question,
Given function is equal to:
f(x) = x²-16
To calculate the inverse of the function if the domain f(x) is x> 0,
Let us consider f(x) = y
y = x²-16
⇒ x² = y + 16
⇒ x = √y + 16
Now, replace x by f⁻¹(x) and y by x we get,
f⁻¹(x) = √x+16
Therefore, for the given function f(x) = x²-16 , the inverse of the function if the domain f(x) is x> 0 is equal to f⁻¹(x) = √x+16.
The complete question is:
Which function is the inverse of f(x)=x²-16 if the domain of f(x) is x> 0?
a. f⁻¹(x) = √x+16
b. f⁻¹(x) = √x + 4
c. f⁻¹(x) = √x -16
d. f⁻¹(x) = √x - 4
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solve (x+10)^2-7=5
A.4
B.-8
C.-6
D. No solution
Answers
After solving the expression we get the answer as the equation does not have a solution.
Given, we have:
(x+10)²-7=5
Open the brackets.
⇒ (x²+20x+100)-7=5
⇒ x²+20x+100-7=5
Calculate the difference.
⇒ x²+20x+93=5
Arrange the like terms:
⇒ x²+20x+93-5=0
⇒ x²+20x+88=0
Factorize the a²ove expression.
⇒ x²+20x+88
can't be factorize, as it does not have factors to reduce the expression.
Hence the expression does not have a solution.
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I’ll give you brainliest if you have the answer
Answers
Answer:
BGHA
Step-by-step explanation:
Just look at the coordinates.
1 is at x=0 and y=4, so (0, 4), or B
2 is at x=-4 and y=3, so (-4, 3), or G
3 is at x=2 and y=0, so (2, 0), or H
4 is at x=0 and y=-1, so (0, -1), or A
Find the Solution set of the given problem
Answers
There is exactly one solution. The ordered pair for the given set of solutions is (-4,-3). Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation is
x/4 -y/2 =1/2
x+4y=-16
[tex]\begin{bmatrix}\frac{x}{4}-\frac{y}{2}=\frac{1}{2}\\ x+4y=-16\end{bmatrix} \\\\ \begin{bmatrix}2\left(y+1\right)+4y=-16\end{bmatrix} \\\\ \begin{bmatrix}6y+2=-16\end{bmatrix} \\\\ y = -3[/tex]
Substitute the value of y in equation (2)
[tex]x=2\left(-3+1\right) \\\\ x=-4 \\\\ x=-4,\:y=-3[/tex]
Thus, there is exactly one solution. The ordered pair for the given set of solutions is (-4,-3). Option A is correct.
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(4,3)(-5,2) solve and plot example is in the photo
Answers
m = 1/9
How to Calculate Slope of a Line?
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x.
We are given x-coordinates and their corresponding y-coordinates.
The formula to find the slope between 2 coordinates of a line is given by;
Slope Formula :
m = (y₂ - y₁)/(x₂ - x₁)
Here you need to know the coordinates of 2 points on a line, (x₁, y₁) and (x₂, y₂).
Point 1 = (4,3)
Point 2 = (-5,2)
x₁ = 4
y₁ = 3
x₂ = -5
y₂ = 2
Plug these four values into the slope formula and simplify,
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 3)/((-5) - 4)
m = (-1)/(-9)
m = 1/9
Thus, in conclusion, the slope of the line that passes through the points is 1/9
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A farmer with 350 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area?
The width, labeled x in the figure, is ____
(Type an integer or decimal rounded to the nearest tenth as needed.)
The length, labeled 350-2 x in the figure, is ____
(Type an integer or decimal rounded to the nearest tenth as needed.)
The largest area that can be enclosed is _______
(Type an integer or decimal rounded to the nearest tenth as needed.)
Answers
The solution to the questions are:
The width, labelled x in the figure is 87.5 metersThe length, labelled 350-2 x in the figure, is 175 metersThe largest area that can be enclosed is 15312.5 square metersHow to determine the width and the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 350 - 2x
Width = x
The area of a rectangle is the product of its dimensions
So, we have
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
A = (350 - 2x) * x
Evaluate
A = 350x - 2x²
Differentiate and set to 0
350 - 4x = 0
So, we have
4x = 350
Divide by 4
x = 87.5
Recall that
Length = 350 - 2x
So, we have
Length = 350 - 2 x 87.5
Evaluate
Length = 175
The area is then calculated as
Area = Length x Width
So, we have
Area = 175 x 87.5
Evaluate
Area = 15312.5 square meters
Hence, the area is 15312.5 square meters
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−9≤32z−3≤3
Write the solution using interval notation.
Answers
Answer:
[tex]z \in \left[-\frac{3}{16}, \frac{3}{16} \right][/tex]
Step-by-step explanation:
[tex]-9 \leq 32z-3 \leq 3 \\ \\ -6 \leq 32z \leq 6 \\ \\ -\frac{3}{16} \leq z \leq \frac{3}{16} \\ \\ \therefore z \in \left[-\frac{3}{16}, \frac{3}{16} \right][/tex]
what is equation, slope and point please
Answers
Answer:
y - 2 = 3(x + 1)
Step-by-step explanation:
The slope is 3 and the point is (-1,2)
From the plot pointed, you go up three unit and 1 unit to the right to get back on the line. This is 3/1 or 3.
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])
Replace m =3
Replace [tex]y_{1}[/tex] = 2
Replace [tex]x_{1}[/tex] = -1
y - 2 = 3(x - -1)
y - 2 = 3(x +1)
Sample Response: The vertical line test is a way to
determine if a relation is a function. This test
determines if one input has exactly one output on the
graph. If any vertical line passes through more than
one point on the graph, then the relation is not a
function because two different outputs have the same
input.
Which did you include in your response?
The relation is a function if there is only one point of
intersection for any vertical line on the graph.
The relation is not a function if any vertical line has
more than one point of intersection on the graph.
The vertical line test is used to determine if one
input has exactly one output.
Answers
The vertical line intercept the the graph more than once, the graph is of a relation but it is not a function
A graph's function representation can be determined using the vertical line test. Because a function only has one output value for each input value, if we can draw any vertical line that crosses a graph more than once, the graph does not define a function.A function is a type of relation that converts a given set of inputs into a set of outputs in such a way that each input value can only be linked to one output value, forming a set of ordered pairs.Since the line intersects the vertical line twice, a relation that maps a given input to multiple outputs is not a function since there are multiple values of y for a given value of x, the input. As a result, the relation is not a function.
Hence, the vertical line intercept the the graph more than once, the graph is of a relation but it is not a function.
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Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer
Answers
Answer:
7 yd
It's a 16 by 13 rectangle. Since 6 yd are already showing on the left side, you know 7yd remain to get 13 yd.
Julie buys her jacket after the four reductions 25% what percentage of the original price 37 $ dose she save
Answers
let's say "x" is the original price, now let's reduce it by 25%
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of x}}{\left( \cfrac{25}{100} \right)x}\implies \cfrac{1}{4}x\hspace{5em}x-\stackrel{25\%}{\cfrac{1}{4}x}\implies \stackrel{new~price}{\cfrac{3}{4}x}[/tex]
so the new price after applying a 25% or namely 1/4 of "x" is just 3/4 of "x".
if we apply the same reduction again, we'll be left with only 3/4 of ( (3/4)x ) and so on, check the picture below which shows the value once we apply the 1/4 four times, we end up with the new price being to 3/4 of whatever it was before, so
[tex]\cfrac{3}{4}\cdot \cfrac{3}{4}\cdot \cfrac{3}{4}\cdot \cfrac{3}{4}x\implies \cfrac{81}{256}x\hspace{5em}\cfrac{81}{256}\cdot 37\implies \cfrac{2997}{256}[/tex]
now, since we know the 100% or original price was 37, what's the new reduced price of 2997/256 off of it in percentage?
[tex]\begin{array}{ccll} amount\%\\ \cline{1-2} 37&100\\[1em] \frac{2997}{256}&p \end{array}\implies \cfrac{37}{~~ \frac{2997 }{256 } ~~}=\cfrac{100}{p}\implies \cfrac{(37)(256)}{2997}=\cfrac{100}{p} \\\\\\ (37)(256)p=299700\implies p=\cfrac{299700}{(37)(256)}\implies p\approx \stackrel{\%}{31.64}~\hfill \underset{savings}{\stackrel{100\%~~ - ~~31.64\%}{\approx\text{\LARGE 68.36\%}}}[/tex]
Imagine that you are at a bank, ready to open your first bank account.
Which actions should you have already taken? Check all that apply.
Answers
-brought along my Social Security card
-compared the services that different banks offer, and learned what they charge for them
What is the slope of the line that passes through the points(-7, 2) and (-15, -14)? Write your answer in simplest form.
Answers
A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answers
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be [tex]1800(1.6)=\$ 2880[/tex].
Thus, each ticket must sell for [tex]\frac{2880}{5000}=\$ 0.576[/tex]
please help me with this questions
Answers
Answer:
C or third option
Step-by-step explanation:
Write an equation and solve for the 2 numbers
Answers
Answer:
x = y + 5
Step-by-step explanation:
The difference is 5, while x is the bigger number and y the smaller number. So you have to add 5 to y to get x.
Write an equation in standard form of the line that passes through (-8,0) and has the slope m= -4.
Answers
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{0})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-8)}) \implies y -0= -4 (x +8) \\\\\\ y=-4x-32\implies {\Large \begin{array}{llll} 4x+y=-32 \end{array}}[/tex]
if cube has total surface area 150 cm3 , find the volume of cube
Answers
Answer:
Vc = 125 cm3Step-by-step explanation:
Cube Surface Area = 150 cm2
Cube Volume = ?
Ac = 6 a2
150 = 6a2
150/6 = a2
25 = a2
5 = a
-----------------------------------
Vc = a3
Vc = (5)3
Vc = 125 cm3
Answer:
125 cm³
Step-by-step explanation:
if cube has total surface area 150 cm3 , find the volume of cube
divide 150 by 6 and find the area of one face of the cube, take the square root and find the side, side^3 and find the volume
150 : 6 = 25 cm² (area of one face of the cube)
√25 = 5 (side of the cube)
5³ = 125 cm³ (volume of the cube)
Can someone solve please
3x+y<2
x+2<6
Answers
Answer:
This is what I got, hope it helps!
Step-by-step explanation:
What is the equation of the line that passes through the point (-5,2)and has undefined slope
Answers
Step-by-step explanation:
a line with undefined slope is a vertical line, because x does not change on this line at all, and therefore the shoe is y/0.
a vertical line is parallel to the y-axis.
and to go through the given point, it has to use the x- coordinate.
so, the equation is
x = -5
that's really it.
this is the line of all points with the x-coordinate = -5. any value for y is valid.
If u(x)=-2x²+3 and v(x)=1/x what is the range of (u-v)(x)?
Answers
The range of the function is: (- ∞,3) or - ∞ < x < 3
What is Range ?
Range (statistics), is the difference between the highest and the lowest values in a set. Interval (mathematics), also called range, is a set of real numbers that includes all numbers between any two numbers in the set.
Given that
U (x) = -2x² + 3
V(x) = 1/x
(u-v)(x) can be represented as
U(x) – v(x)
So, we have:
-2x²+ 3 - 1/x
= (-2x³ + 3x -1)/ x
Therefore, the range of the function is (- ∞,3) or -∞ < x < 3
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y=2/7x what is the constant of proportionality
Answers
The constant of proportionality k, of the given equation y = (2/7)x is 2/7.
Proportionality :
Proportion is a mathematical comparison between two numbers.
directly proportional equation for direct proportionality is y = kx, Inverse proportionalequation for direct proportionality is y = k/x, Symbol of proportionality is [tex]\ \propto[/tex] .here
y=2/7x
y [tex]\ \propto[/tex] 2
shows that y is directly proportional to 2.
y [tex]\ \propto[/tex] 1/ 7x
shows that y is inversely proportional to 7x.
The constant of proportionality is given as:
y = kx or y = k/x
where k is the proportionality constant
The constant of proportionality k, of the given equation y = (2/7)x is 2/7.
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Leah was 24 years old when her son was born. Today Leah is exactly 3 times older than her son
Answers
EAnswer:her son is eight
Step-by-step explanation:
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answers
For x = 12°, line m and line n will be parallel to each other.
Option (C) is correct.
What are angles in a linear pair?
When two lines intersect at a single point, a linear pair of angles is formed. If the angles are adjacent to each other after the two lines intersect, they are said to be linear. The sum of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.
In the given figure, the line m and line n will be parallel, if and only if the both angles are in a linear pair,
So by using the property of the angles in a linear pair, we get
11x° + 4x° = 180°
15x° = 180°
x° = 180°/15°
x = 12°
Hence for x = 12°, line m and line n will be parallel to each other.
Option (C) is correct.
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f(x) = 2 - 4x
Solve for x when f(x) = 20
Answers
Answer:
x = -4.5
Step-by-step explanation:
[tex]20 = 2 - 4x[/tex]
[tex]18 = - 4x[/tex]
[tex] - 4.5 = x[/tex]
