Graph the line with slope -1 passing through the point ( -2, 4)
Answers
The equation of the line with slope -1 passing through the point ( -2, 4) is y = -x + 2.
What is a y-intercept?The y-intercept is the point where a line intersects the y-axis on a coordinate plane. At that point x = 0. In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is represented by the constant term b. The y-intercept is useful in graphing linear equations and can provide information about the initial or starting value in a given situation.
To graph a line with a slope of -1 passing through the point (-2, 4), we can use the slope-intercept equation y = mx + b. We substitute -1 for m since the slope is -1. Then, we find b by using the point (-2, 4) in the equation. After calculating b to be 2, we can write the equation of the line as y = -x + 2. We can then plot the y-intercept at (0, 2) and use the slope to find other points on the line. By connecting these points, we can graph the line passing through (-2, 4) with a slope of -1.
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Related Questions
An experiment was conducted by having a group of children solve a puzzle. It was found that of those who had solved the puzzle on a given trial, 40% could solve it on the next trial. And of those who couldn't solve the puzzle on a given trial, 10% could solve it on the next trail. At the present time, 80% of the children solved the puzzle on the current trial, but 20% did not. Assume that this process can be modeled as a Markov process.
Write the transition matrix. Label the columns and rows, using S for "able to solve" and NS for "not able to solve.
Write the initial distribution matrix.
What percent of the children will be able to solve the puzzle on the next trial (trial 1)?
What percent of the children will be able to solve the puzzle on trial 2?
After many trials, what percent of the children will fail to solve the puzzle on each trial?
Answers
Answer:
I hope this helps!
Step-by-step explanation:
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The Thai Pepper has a hotness rating of 7.5 x 10^4 on the Scoville scale.
The Red Savina Habanero has a hotness rating of 4.6 x 10^5 on the Scoville scale.
How many times hotter is the Red Savina Habanero than the Thai Pepper?
a
Divide (4.6 x 10^5) / (7.5 x 10^4) = (4.6 / 7.5) x (10^(5-4)) = .613 x 10^1 = 6.13 times hotter
b
Multiply (7.5 x 10^4) x (4.6 x 10^5) = (7.5 x 4.6) x (10^(4+5)) = 34.5 x 10^ 9 = 3.45 x 10^10
c
Divide (7.5 x 10^4) / (4.6 x 10^5) = (7.5 / 4.6) x (10^(4-5)) = 1.63 x 10^ 1 = 16.3 times hotter
d
Multiply (7.5 x 10^4) x (4.6 x 10^5) = (7.5 x 4.6) x (10^(4+5)) = 34.5 x 10^ 9 = 3.45 x 10^10 times hotter
Answers
The Red Savina Habanero is 6. 13 times hotter than the Thai Pepper. Option A
What is ratio?A ratio can be defined as the comparison of two or more numbers on the basis of their sizes in relation to each other;
Given that;
Thai Pepper has a hotness rating of 7.5 x 10^4 Red Savina Habanero has a hotness rating of 4.6 x 10^5To determine the ratio, we have to divide Red Savina Habanero hotness rating by Thai Pepper hotness rating
This is represented as;
= 4.6 x 10^5 / 7.5 x 10^4
= 6. 13 times
The Red Savina Habanero is 6. 13 times hotter
Thus, the Red Savina Habanero is 6. 13 times hotter than the Thai Pepper. Option A
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By taking the quotient between the ratings, we can see that Red Savina Habanero is 6.13 times hotter than the Thai Pepper.
How many times hotter is the Red Savina Habanero than the Thai Pepper?We know that the Thai Pepper has a hotness rating of 7.5*10⁴, while the Red Savina Habanero has a hotness rating of 4.6*10⁵.
We want to see how many times hotter is the Red Savina Habanero than the Thai Pepper, to find that we need to take the quotient between the rating for the Habanero and the rating for the Pepper.
It gives:
Q = (4.6*10⁵)/(7.5*10⁴)
This can be rewritten as:
Q = (4.6/7.5)*(10⁵/10⁴)
=0.613*(10 ⁵⁻⁴) = 0.613*10
Now, we want to write this in scientific notation, so we need to have a single digit different than zero in the left side of the decimal point.
Then we can rewrite:
0.613*10 = 6.13*10⁰ = 6.13
We conclude that the Red Savina Habanero is 6.13 times hotter than the Thai Pepper.
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A lighting designer created a program for the opening of a stage show. When the show starts, 10 lights are on. Every 30 seconds, 1 more light comes on. If t is time in minutes and L is the number of lights that are on, which function best models the number of lights that are on after t minutes of the stage shows?
A. L= 1/2t+10
B. L=2t+10
C. L=30t+10
D. L=10t+1/2
E. L=10t+30
I really need your help!!!
Answers
The number of lights L that are on after t minutes of the stage shows is,
A. L = (1/2)t + 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, When the show starts, 10 lights are on which is a constant in out function.
Every 30 seconds or (1/2) a minute 1 more light comes on.
∴ The function best models the number of lights that are on after t minutes of the stage shows is,
L = (1/2)t + 10.
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Number two please asap
Answers
J
Step-by-step explanation:
both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)
In 2012, there were about $6.26 billion cell phone subscribers in the world. During the next 5 years, the number of cell phone subscribers increased by about 4% each year.
a. Write an exponential model that represents the number of cell phone subscribers y (in billions) t years after 2012.
b. Use your model to estimate when the number of cell phone subscribers was about 7 billion. Round your answer to the nearest whole year.
Answers
Exponent is moved to multiplier after taking the ln of both sides.
ln(7) = ln(6.26) + t × ln (1.04)
What is meant by Exponent?Exponent is the process of representing huge numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. The quantity of times a number has been multiplied by itself is known as an exponent. To the third, for instance, is expressed as 23, which signifies that 2 x 2 x 2 = 8. 2 x 3 = 6 and 23 are not equivalent. Don't forget that a number raised to the power of one equals that number.The first 10 powers of two for non-negative values of n are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and so on (sequence A000079 in the OEIS)Using the above formula, the base is 1.04 (for only four years).
c (t) = 6.26*1.04t ,,,,t in years,,,,0≤t≤4
c = 7
Exponent is moved to multiplier after taking the ln of both sides.
ln(7) = ln(6.26) + t × ln (1.04)
t = [ln(7/6.26)] / ln(1.04)
same as t = [ln(7) - ln(6.26)]] / ln(1.04)
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Jason tried to find an expression equivalent to the rational expression −4x4+12x3−7x+22x2+1 by using polynomial long division. His work is shown below.Jason concluded that −2x2+7x+−14x+22x2+1 was equivalent to the rational expression. Jason's conclusion is incorrect.
Which statement BEST explains where Jason made an error?
Answers
She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The rational expression is given in the question as:
\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)
Divide the leading term of the dividend by the leading term of the divisor:
\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)
Write down the calculated result in the upper part of the table.
Multiply it by the divisor
\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
Thus, Jason made a mistake in multiplying 2x²+1 by -2x².
Hence, the correct answer would be option (B).
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You are inflating a balloon in a room. The volume of the balloon is
given by V(m, θ) = sqrtθ [ln(m)],
where m is the mass of the air in the balloon, and θ is the temperature of the room.
Suppose that at time t, the mass of air in the balloon is m(t) = t^2+3 and the temperature of the room is θ(t) = e^t.
Use the chain rule to find the rate at which the volume is
changing at time t.
Answers
According to the question rate at which the volume is dV/dt = dV/dm * dm/dt + dV/dθ * dθ/dt.
What is the straightforward meaning of volume?The space covered within an object's borders in three dimensions is referred to as its volume. It is refereed as the object's capability on occasion.
How is volume measured?Volume, which is measured in cubic units, is the three dimensional volume occupied by matter or encircled by a surface. The cubic centimeter (m3), a derived unit, is the Standard unit of volume.
Substituting in the given information, we have:
V(m, θ) = sqrt(θ) * ln(m)
m(t) = t^2 + 3
θ(t) = e^t
Therefore:
dV/dm = (1/m) * sqrt(θ)
dm/dt = 2t
dV/dθ = (1/2sqrt(θ)) * ln(m)
dθ/dt = e^t
plugging in the values of m(t) = t^2 + 3 and θ(t) = e^t
dV/dt = (1/(t^2+3)) * sqrt(e^t) * 2t + (1/2sqrt(e^t)) * ln(t^2+3) * e^t
So the rate at which the volume is changing at time t is given by dV/dt
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Find the next permutation in lexicographic order About For each permutation of (1,2,3,4,5,6,7,give the next largest permutation or indicate that the permutation is the last one in lexicographic order (1,2,3,4,5,6,7) (7.6,5,4,3,2, 1) (1.7,6,4,2,3,5) (3,7,6,5,4,2,1) (5,4,7,6,3,2, 1)
Answers
On solving the provided question, we can say that In lexicographic order, the following variation will be (5,6,7,4,3,2,1).
What is a permutation?It is known as permuting the set in mathematics to rearrange the components of a set that is already ordered or, if the set is not already ordered, to place its members in a linear or sequential order. In this sense, "permutation" refers to the process of changing the linear order of an ordered set.It should be mentioned that a permutation is a mathematical concept that describes several potential arrangements of numbers or other objects.
The ascending numerical order is the lexicographic order when it comes to numbers. From left to right, the numbers are growing. The permutations of "1,2,3," for instance, are 123, 132, 213, 231, 312, and 321 in lexicographic order.
In lexicographic order, the following variation will be (5,6,7,4,3,2,1).
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To save for her newborn son's college education, Kelli Peterson will invest $1,500.00 at the end of each year for the next 18 years. The interest rate she expects to earn on her investment is 9%. How much money will she have saved by the time her son turns 18?
Answers
Answer:
9% of $1500 is $15 so she gains an extra $15 for each of the 18 years
$1500 in the bank each year for 18 years is $27000 after 18 years
$15 each year as well so that’s an extra $270 in the bank
The total in the bank is the sum of what she has invested and the interest so the total in the bank is $27270
Step-by-step explanation:
PLEASE HELP PLEASEEEE
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is ~
\( - {x}^{3} - 3 {x}^{2} + 4x\)
Matt has two very active dogs named Theia and Odin who need to eat extra snacks to increase
their caloric intake. He uses math to figure out how much more to feed them. He tracks their
activity level to determine the increase.
The table below shows the number of treats per dog per week.
What is the average rate of change for the number of treats that Odin gets each week between
Week 1 and Week 5?
Week 2
Week 3
Week 5
Odin
Theia
Week 1
7
5
3
2.
00 00
Week 4
9
7
4
5
Week 6
5
6
Answers
Answer:
Step-by-step explanation:
That is cheating no help for you sorry
Ayaan drank 11/4 bottles of water during a soccer game.what is this fraction as a mixed numeral
Answers
Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.
Divide the numerator (11) by the denominator (4).
11 ÷ 4 = 2 remainder 3
The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.
Write the mixed numeral using the whole number part and the fractional part.
The mixed numeral for 11/4 is:
2 and 3/4
Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
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In a simple random sample of 975 students from a large public university, it was found that 463 of the students changed majors during their college years. University officials concerned with counseling students are interested in the number of students who change majors rather than the proportion. The university has 37,500 undergraduate students.
Required:
Convert the confidence interval for the proportion of students who change majors, (0.4435,0.5062) to a confidence interval for the number of students who change majors during their college years.
Answers
Applying proportions, the confidence interval for the number of students who change majors during their college years is (16,631, 18,983).
We have a sample of 37,500 undergraduate students, and the interval for the proportion is: (0.4435,0.5062).
To find the number of students, we just multiply 37,500 by these values, hence:
37,500(0.4435) = 16,63137,500(0.5062) = 18,983The confidence interval for the number of students who change majors during their college years is (16,631, 18,983).
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Calculate the product
20 (-15)
Answers
Answer:
Step-by-step explanation:
Product means multiply.
-300
Which one of the following statements is true? *
1 point
tan 45° = 1
cos 30° = 1/2
sin 45° = 1/3
sin 90° = 0
Answers
Answer:
tan 45° = 1 = true
cos 30° = 1/2 = false
sin 45° = 1/3 = false
sin 90° = 0 = false
Step-by-step explanation:
Acellus
Find y. Simplify completely.
у
12
y = 6V[?]
Enter the number that belongs in the green box.
Enter
Answers
Answer:
sorry dunno
Step-by-step explanation:
:c
what is the answer to this equation 21 x ___=7
Answers
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
Differentiate y=x4 -x
Answers
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
Isaac was having cookies and milk with his
little brother. He got out a jug that held
16 cups of milk. Isaac drank 1 cups and
his brother drank 12 cups. How much
milk was left in the jug?
Answers
Answer:
There is now 3 cups of m ilk left in the jug.
Step-by-step explanation:
12+1=13 | 13-16=3
ANSWER: 3
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answers
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
i need help with my homework PLEASE CHECK WORKNUMNER 3
Answers
3) We have a model that relates the number of trees and time, expressed in months (m).
This relation is:
\(N(m)=4384*2^{-m}\)We can find the month m where the number of trees is N(m) = 1096 as:
\(\begin{gathered} N(m)=1096 \\ 4384*2^{-m}=1096 \\ 2^{-m}=\frac{1096}{4384} \\ 2^{-m}=0.25 \\ 2^{-m}=0.25 \\ -m*\log_2(2)=\log_2(0.25) \\ -m*1=-2 \\ m=2 \end{gathered}\)Answer: The number of trees will be 1096 after m = 2 months [Option A]
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59
Answers
Answer:
The rocket will hit the ground after 113.28 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
The height of a rocket, after t seconds, is given by:
\(h(x) = -16x^2 + 1812x + 59\)
Using this equation, find the time that the rocket will hit the ground.
This is x for which \(h(x) = 0\). So
\(-16x^2 + 1812x + 59 = 0\)
Then \(a = -16, b = 1812, c = 59\)
\(\Delta = (1812)^2 - 4(-16)(59) = 3287120\)
\(x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03\)
\(x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28\)
The rocket will hit the ground after 113.28 seconds.
The factored form of 30.8n+8.4 is a(11n+3) . What is the value of a?
Answers
After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
We are given that the factored form of 30.8n+8.4 is a(11n+3).
To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.
Expanding a(11n+3), we get:
a(11n+3) = 11an + 3a
Equating this to 30.8n+8.4, we have:
11an + 3a = 30.8n + 8.4
We can factor out an "a" from the left-hand side:
a(11n + 3) = 30.8n + 8.4
Now we can see that this is the same as the given factored form, so we can equate the two expressions:
a(11n + 3) = a(11n + 3)
This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):
a = 30.8/(11n+3)
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Help me please!? I don’t get it
Answers
9514 1404 393
Answer:
$48
Step-by-step explanation:
You are being asked to find the total surface area of the rectangular prism that is 14 in by 8 in by 4 in. Then you are to multiply that value by 3 (to make it be the area of 3 boxes). After that, you need to multiply by the cost per square inch to find the cost of the wrapping paper for three boxes.
__
The area formula is ...
A = 2(LW +H(L+W))
Filling in the given dimensions, we have ...
A = 2(14×8 +4(14 +8)) = 2(112 +4(22)) = 2(200) = 800 . . . square inches
The area of the box for 1 pair of shoes is 800 square inches, so the area of the boxes for 3 pairs of shoes is ...
3 × 800 in² = 2400 in²
And the cost is ...
(2400 in²)($0.02/in²) = $48
The cost to cover three shoe boxes is $48.
Answer:
48 $ box's............
what is 1*2
I give away points
Answers
1 times 2 is equal to 2.
What do you mean by multiplication?Multiplication is a mathematical operation that combines two numbers (known as "factors") to produce a third number (known as the "product"). It is represented using the symbol "x" or the asterisk (*).
For example, consider the multiplication of the numbers 2 and 3:
2 x 3 = 6
Here, 2 and 3 are the factors, and 6 is the product. Multiplication is a type of arithmetic operation that can be used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
In summary, multiplication is a mathematical operation that combines two numbers to produce a third number, and it is represented using the symbol "x" or the asterisk (*). It is an important operation in mathematics, used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
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if 18 : 6 = x : 3 then what is 5 + 3x
Answers
Answer:
32
Step-by-step explanation:
18 : 6 = 3
therefore, x : 3 has to equal 3.
X : 3 = 3
X = 3 × 3
X = 9
To verify:
18 : 6 = 9 : 3
3 = 3
It's true that X = 9, so now just replace the X with 9 in the next equation
5 + 3(9) = 32
Answer:
32
Step-by-step explanation:
18 : 6 = x : 3
Product of means = Product of extremes
6 * x = 3*18
x = \(\frac{3*18}{6}\)
x = 3*3
x = 9
Now plugin x = 9 in the expression
5 + 3x = 5 + 3*9
= 5 + 27
= 32
what is the answer I need help
Answers
Answer:
Step-by-step explanation:
The vertex is at (-3, -1) and the leading coefficient is negative ( because the curve is inverted)
y = -a(x + 3)^2 - 1
One point on the curve is (-2, -3) so
-3 = -a(-2+3)^2 - 1
-3 = -a - 1
-a = -2
So we have
y = -2(x + 3)^2 - 1
y = -2(x^2 + 6x + 9) - 1
y = -2x^2 - 12x - 19.
The image below has the following translation: (x, y) → (x +4, y - 1)
Determine the ordered pair for F' after the translation.
a. F' (-1, 3)
b. F' (-9, 5)
c. F' (8, -6)
d. F' (4, -1)
Answers
which of the following is true:
A. 59 + 59 = 108
B. 20 + 19 = 49
C. 32 + 34 = 76
D. 30 + 32 = 62
Answers
Please mark me as Brainliest.Thank you and hope it helps!
A cable company charges $80 a month for service and $4 for each on-demand movie watched.
What is the graph of the equation for this scenario?
Yo ill give all my points just plzzz hellp like rn
Answers
Answer:
y= 4x + 80
Step-by-step explanation:
the variable that keeps adding up for example if you keep watching movies it'll add up is always the x