Answer:
slope is -14
X int. X is at 1/7
y int. y is at -2
Step-by-step explanation:
If you graph it you will see.
Which is the equation of the line that passes through (-2,2) and (4,-5)
Answer:
here you go
Step-by-step explanation:
Algebra questions and answers. Write an equation of the line that passes through (4,5) and is parallel to the line defined by 4x+y=-2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.
REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es \(\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}\)
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
\(\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}\)
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
The equation 5 (3w - 4) = -3(3+ 2w) has
solution(s).
Answer:
w= 1.2
Step-by-step explanation:
pls pls pls helpjust need the answer
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
Please help me solve this quickly! Will give brainliest!
Answer:
y = 5\(\sqrt{6}\)
Step-by-step explanation:
JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a\(\sqrt{3}\)-a
since the side length that sees 90 degrees is 10 then x = 5
according to Euclidian theorem :
y^2 = LK*KI (LK = 15 -x, KI = 15)
y^2 = 10*15
y^2 = 150 find the root for both sides
y = 5\(\sqrt{6}\)
5. Jermaine plots the points (0,0) and (4, 11)
on a graph to represent a proportional
relationship. Which of the following equations
represents the relationship between the x and
y-values ?
Answer: y = 2.75x
Step-by-step explanation:
well, truely I made my own graph and divided every number to (4,11) and got 2.75. I hope your going to use this.
The relationship between the x and y-values represented by the equation,
⇒ y = 2.75x
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Jermaine plots the points (0,0) and (4, 11) on a graph to represent a proportional relationship.
Let an equation to represent the proportion relationship between a and y is,
⇒ y = kx
Here, Jermaine plots the points (0,0) and (4, 11) on a graph to represent a proportional relationship.
Hence, The points satisfy the above equation,
Substitute x = 4, y = 11
⇒ y = kx
⇒ 11 = k × 4
⇒ k = 11/4
⇒ k = 2.75
Hence, We get;
The relationship between the x and y-values represented by the equation is,
⇒ y = 2.75x
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what is the answer in substiution y=2x-9 and y=3
Answer:
x= -6
Step-by-step explanation:
How many elementary events are in the sample space of the experiment of rolling three fair coins? 2 9 8 6
When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.
The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)
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Factor the expression to fill in the blank.
48 + 96 = ? (1 + 2)
Answer:
48
Step-by-step explanation:
48+96 =144
x * (1+2) = 3x = 144
so x = 48
a man builds a house with all 4 sides facing south. a bear walks past the house, what color is the bear
The color of the bear is White, since the house is directly built on north pole.
It is believed that this house was built directly on the northernmost point of the earth, the North Pole. In this scenario, if all four of his sides of the house face south, it means the house faces the equator. Since the North Pole is in an Arctic region where polar bears are common, any bear that passes in front of your house is likely a polar bear.
Polar bears are known for their distinctive white fur that blends in with their snowy surroundings. This adaptation is crucial for survival in arctic environments that rely on camouflage to hunt and evade predators.
Based on the assumption that the house is built in the North Pole and bears pass in front of it, the bear's color is probably white, matching the appearance of a polar bear.
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A random survey of 460 students was conducted from a population of 2,800 students to estimate the proportion who had part time jobs. The sample showed that 207 had part-time jobs Calculate the 90 percent confidence interval for the true proportion of students who had part-time jobs (Round your answers to 3 decimal places) The 90% confidence interval is from ____ to ____
The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.
We have,
1. First, calculate the sample proportion (p) by dividing the number of students with part-time jobs (207) by the total number of students surveyed (460): p = 207/460 ≈ 0.450
2. Calculate the standard error (SE) using the formula SE = √(p (1 - p)/n), where n is the sample size:
SE ≈ √(0.450(1 - 0.450)/460) ≈ 0.046
3. Find the critical value (z) for a 90% confidence interval, which is 1.645.
4. Calculate the margin of error (ME) using the formula ME = z x SE:
ME ≈ 1.645 x 0.046 ≈ 0.076
5. Find the lower and upper limits of the confidence interval by adding and subtracting the margin of error from the sample proportion:
Lower limit ≈ 0.450 - 0.076 ≈ 0.374,
Upper limit ≈ 0.450 + 0.076 ≈ 0.526
Thus,
The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.
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Find a rational number between (-1/3) and (2/5)
Please Help Me....!♀️
Answer:
1/2 and 3/5 can be written as 20/40 and 24/40. Between them you can have 3 rational numbers as 21/40, 22/40, and 23/40, which may be written as 21/40, 11/20 and 23/40.
Hope it helps you!
Step-by-step explanation:
hiiiii
Please I need helppp!!
Answer:
1) c
2) b
Step-by-step explanation:
1) translated 6 units to the left will be negative = x-6
5 units up will be positive = y+5
2) when reflecting across the x-axis, the x-values of each original point will remain the same and the y-values will become opposite. For example one point is (-5, 3) which will be (-5, -3) as the opposite of 3 is -3 which is in the form (x,-y)
Which of the relations has a domain of {-5, 0, 5}?
A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}
Answer:
B
Step-by-step explanation:
its that how you would look like if you were anime sorry was looking at your pf. have a nice day
test the series for convergence or divergence using the alternating series test. [infinity] (−1)n − 1 5n 6 n = 1
The series ∑((-1)⁽ⁿ⁻¹⁾ * 5n)/(6n) from n = 1 to infinity converges based on the alternating series test.
To test the series for convergence or divergence using the alternating series test, we need to check if the terms of the series alternate in sign and if their absolute values decrease as n increases.
The series is given by:
∑((-1)⁽ⁿ⁻¹⁾ * 5n)/(6n) from n = 1 to infinity
Let's analyze the terms of the series:
Alternating sign: The terms alternate between positive and negative because of the (-1)⁽ⁿ⁻¹⁾ factor.
Decreasing absolute values: We can simplify the terms by canceling out the common factors of 5 and 6:
((-1)⁽ⁿ⁻¹⁾ * 5n)/(6n) = (-5/6)ⁿ
The absolute values of the terms are decreasing because
|(-5/6)ⁿ| < |(-5/6)⁽ⁿ⁻¹⁾ | for all n.
Since the series satisfies the conditions of the alternating series test, namely alternating sign and decreasing absolute values, we can conclude that the series converges.
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2.54 + 0.38y = 2(2.61 -0.48y)?
What is the answer
Answer:
y = 2
Step-by-step explanation:
2.54 + 0.38y = 5.22 - 0.96y
1.34y = 2.68
y = 2
Eva has a collection of 180 coins. How many coins represent 20% of her collection?
Answer:
36 coins
Step-by-step explanation:
10 percent is 18 coins. so just double that.
Answer:
Step-by-step explanation:
Total coin Eva has = 180
20% of her coins are represented by 20% of the 180
= 20/100 * 180
=0.2 * 180= 36
36 coins represent 20% of Eva's coins.
A percentage is a number or ratio that represents a fraction of 100. It is used to describe numbers. It is a dimensionless quantity. A percentage is denoted by the % symbol.
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9. A statistician claims that nine days days from now, the forecast will be roughly nine units above today's demand, that is F
9
=89. What is the probability that nine days from today, the ending demand is below the forecasted level, P(D
9
9
) ? 10. Suppose that, four days later, we want to check the statistician's forecast. What is the probability that, at the end of day four, the demand is above the forecasted value of 89 units, that is P(D
4
>89) ? (Hint: you can reason your way to the answer, even if you cannot derive the exact probability.) (a) 0.84 (b) 0.69 (c) 0.34 (d) 0.16
The first question asks for the probability that the ending demand, D9, will be below the forecasted level F9. The second question asks for the probability that, at the end of day four, the demand, D4, will be above the forecasted value F9.the most reasonable option would be (a) 0.84,
To determine the probability P(D9 < 89), we need additional information about the distribution of the ending demand. Without this information, we cannot calculate the exact probability. However, we can reason that if the forecasted value F9 is nine units above today's demand, and we assume a symmetric distribution, then it is likely that the probability of the ending demand being below the forecasted level is less than 0.5. Therefore, based on the given answer choices, the most reasonable option would be (c) 0.34.
For the second question, we can use the same reasoning. If the forecasted value F9 is nine units above today's demand, and we assume a symmetric distribution, it is likely that the probability of the demand at the end of day four, D4, being above F9 is also less than 0.5. Among the given answer choices, the most reasonable option would be (a) 0.84, as it represents a higher probability for the demand to be above the forecasted value.
It is important to note that these answers are based on reasoning and assumptions about the distribution, as the exact probabilities cannot be calculated without more information.
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Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
Which could be the measures of the three angles of an acute triangle?
As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.
An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.
Here are some examples of the measures of the three angles of an acute triangle:
45 degrees, 45 degrees, 90 degrees
30 degrees, 60 degrees, 90 degrees
35 degrees, 40 degrees, 105 degrees
60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)
As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.
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what is the y intercept of 13,-6
Answer:
More info needed
Step-by-step explanation:
If 13,-6 represents (13,-6), this is a point. The y coordinate is -6, but there would be no y intercept since a single point won't cross the y axis.
Solve the system of equations
Answer:
x=1, y=2
Step-by-step explanation:
2x+y =4
y = 2x
Substitute the second equation into the first
2x+ (2x) = 4
Combine like terms
4x = 4
4x/4 = 4/4
x = 1
Now find y
y = 2x
y = 2(1)
y = 2
Suppoe you have a box containing 21 jelly bean: 8 red, 6 green, and 7 orange. You pick 2 at random, without replacement. What i the probability that the firt i orange and the econd i green?
The probability that the first is orange and the second is green is equal to 0.10 when we have to pick 2 at random, without replacement.
Let A be the event of drawing orange jelly beans first and B be the event of drawing green jelly beans second.
For the 1st draw, 7 orange jelly beans in a total of 21 jelly beans.
P(A) = 7/21 = no. of orange jelly beans
Total no. of jelly beans
After drawing orange jelly beans, 20 jelly beans were left in a box with 6 orange jelly beans, 8 red jelly beans, and 6 green jelly beans.
Hence when 2nd jelly bean is drawn without replacement, the probability that 2nd jelly bean is green is the conditional probability of event B occurring when A has already occurred.
∴P(B/A) = 6/20 = no. of green jelly beans
Total no. of jelly beans without replacement
By multiplication rule of probability
P∩B = P(A). P(B/A)
P∩B = 7/21 x 6/20
P∩B = 42/420 = 1/10 = 0.10
Hence, the probability of getting the first orange and the second green jelly beans without replacement is 0.10.
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which of the following are identities
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
We have,
Let's analyze each of the given statements to determine whether they are identities:
tan x = sin x / cos x:
This is an identity.
It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).
tan x cos x = sin x:
This is not an identity.
It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
cos x = tan x sin x:
This is not an identity.
Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
sin x / tan x = cos x:
This is an identity.
It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.
Thus,
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
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heeeeeeeeeeeeeeeeeeeeeeeeeeelp100point
Answer:
2nd choice
Step-by-step explanation:
hope this helps
Rational zeros of polynomial function
Help!
Zeros of the given polynomial are -2, 2, -3/2, 3/2
What are zeroes of a polynomial?Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.
Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)
1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0
4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0
(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0
(x+2)(x-2)(2x+3)(2x-3) = 0
x = -2, 2, -3/2, 3/2
Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2
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Find the equation of the line which passes through (0,8) and (1,12)
Answer:y =4x + 8
Step-by-step explanation:
X-0/0-1 = y-8/8-12
Or,-4x = -y +8
So, y-4x = 8
Consider the diagram of two intersecting lines and the angles that are formed.
1
2
4
3
Which statement will help to show that 22 24?
OZ1 is complementary to 22, and 21 is complementary to 24.
21 is supplementary to 22, and 21 is supplementary to 24.
m/1+ m23 = 90°.
21 is vertical to 22, and Z1 is vertical to 24.
The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4
What is a supplementary angle?
In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:
m∠1 + m∠2 = 180° (Linear pair theorem).
m∠1 + m∠4 = 180° (Linear pair theorem).
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Complete Question:
Consider the diagram of two intersecting lines and the angles that are formed.
Which statement will help to show that ∠2≅∠4?
a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.
b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.
c.) m∠1+m∠3=90°.
d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.
Players on a basketball team compared the total number of points they scored in a game. The results are shown on the circle
graph.
If there were 88 points scored overall, how many more points were scored by Dakota than by Rudy?
A)
16
B)
24
C)
28
D)
32
Answer: i think B
Step-by-step explanation:
88(4/11)-88(1/11)
discuss why it makes intuitive sense to presume that the linear differential equation has a solution of the form , where and are constants. then find specific constants and so that is a particular solution of the de.
It makes intuitive sense to presume that a linear differential equation of the form:
y'(x) + p(x)y(x) = q(x)
What is linear differential?Generally, It makes intuitive sense to presume that a linear differential equation of the form:
y'(x) + p(x)y(x) = q(x)
has a solution of the form:
y(x) = Ae^(-∫p(x)dx) + u(x)
where A is a constant, u(x) is a particular solution to the differential equation, and e^(-∫p(x)dx) is the integrating factor.
This is because multiplying both sides of the differential equation by the integrating factor gives:
e^(-∫p(x)dx) y'(x) + p(x) e^(-∫p(x)dx) y(x) = q(x) e^(-∫p(x)dx)
The left-hand side can be rewritten using the product rule as:
(d/dx)(y(x) e^(-∫p(x)dx)) = q(x) e^(-∫p(x)dx)
Integrating both sides gives:
y(x) e^(-∫p(x)dx) = ∫q(x) e^(-∫p(x)dx) dx + C
where C is an arbitrary constant.
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