Find the solution to the following system using substitution
y = 3x+1
y=-x+5
A.(2,7)
B.(1,4)
C.(2,3)
D.(0,1)
Answers
Related Questions
need help with this one asap
Answers
if you're solving it for R, it's r = 3s
if you're solving for S, it's s = r/3
In a large population, 68 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.
Answers
Answer:
\(1 - {.32}^{5} = .9966 = 99.66\%\)
If the numbers (-10,-20, 85,50) were temperatures which number would be the coldest?
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Answer:
The answer would be -10
Correct me if i'm wrong
What is the slope for 3y+6x=9
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Answer:
The slope is -2!
Step-by-step explanation:
Lets Solve!
3y +6x = 9
First we subtract 6x from both sides
3y = -6x + 9
Next we divide by 3 from both sides.
y = -2x + 3
The slope is -2!
convert: ___minutes= 7/10 hour
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1
Drag the tiles to the correct boxes to complete the pairs.
Determine whether each pair of lines is perpendicular, parallel, or neither.
4y= 2x - 4
y = -2x +9
y = 2x + 4
2y = 4x - 7
Neither
2y = 4x + 4
y=-2x - 2
Perpendicular
Parallel
Answers
For lines to be parallel, the slope has to be the same.
For lines to be perpendicular, the slope has to be the negative reciprocal.
what are perpendicular lines?These lines always intersect at right angles.If two lines are perpendicular to the same line, they are parallel to each other and will never intersect. The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.Learn more about perpendicular lines clcick here:
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congratulations! you have just won the question-and-answer portion of a popular game show and will now be given an opportunity to select a grand prize. the game show host shows you a large revolving drum containing four identical white envelopes that have been thoroughly mixed in the drum. each of the envelopes contains one of four checks made out for grand prizes of 34, 54, 74, and 94 thousand dollars. usually, a contestant reaches into the drum, selects an envelope, and receives the grand prize in the envelope. tonight, however, is a special night. you will be given the choice of either selecting one envelope or selecting two envelopes and receiving the average of the grand prizes in the two envelopes. if you select one envelope, the probability is 1/4 that you will receive any one of the individual grand prizes 34, 54, 74, and 94 thousand dollars. assume you select two envelopes. there are six combinations, or samples, of two grand prizes that can be randomly selected from the four grand prizes 34, 54, 74, and 94 thousand dollars. the six samples are (34, 54), (34, 74), (34, 94), (54, 74), (54, 94), and (74, 94). what is the probability that you will receive a sample mean grand prize of exactly 84 thousand dollars? (enter the reduced fraction.)
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The probability of getting a sample mean grand prize of exactly 84 thousand dollars is 2/6, which reduces to 1/3.
The mean of the four grand prizes is (34+54+74+94)/4 = 64. Therefore, the probability of selecting two envelopes and receiving an average of exactly 84 thousand dollars is the same as the probability of selecting two envelopes and getting a sum of 168 thousand dollars (since the sum of two values divided by two is equal to their average).
There are six possible combinations of two envelopes, as stated in the question. To find the probability of getting a sum of 168 thousand dollars, we need to find the number of combinations that add up to 168. These combinations are (74,94) and (94,74). Therefore, the probability of getting a sample mean grand prize of exactly 84 thousand dollars is 2/6, which reduces to 1/3.
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Please help me I do not have much time and pls no scam answers
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Given that x:2=7:5 Calculate the value of x
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Answer:
x=2.8≈3
Step-by-step explanation:
x:2=7:5
\(\frac{x}{2}=\frac{7}{5}\)
by cross-multiplication
x×5=2×7
5x=14
x=14/5
x=2.8≈3
i hope this will help you :)
Does anyone know? Thank you!
Answers
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
PLEASE HURRY IM IN THE TEST RIGHT NOW!!!!!
Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result.
Question 4 options:
A'(-10,4), B'(1,1), C'(-4,2)
A'(-15,8), B'(-4,5), C'(-9,6)
A'(-8,15), B'(-5,4), C'(-6,1)
A'(-4,-10), B'(-1,1), C'(-2,-4)
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These are the coordinates of the Vertices of the resulting triangle after performing the given transformations.the resulting vertices after the reflection and translation are: A'(-15, 8) B'(-4, 5) C'(-9, 6)
The triangle ΔABC and perform the given transformations, let's start by plotting the original triangle ΔABC on a graph:
Poin A: (10, 4)
Point B: (-1, 1)
Point C: (4, 2)
Now, let's reflect the triangle ΔABC by multiplying the x-coordinates of the vertices by -1:
Reflected Point A': (-10, 4)
Reflected Point B': (1, 1)
Reflected Point C': (-4, 2)
Next, let's use the given translation function (x, y) → (x - 5, y + 4) to translate the reflected triangle:
Translated Point A'': (-10 - 5, 4 + 4) = (-15, 8)
Translated Point B'': (1 - 5, 1 + 4) = (-4, 5)
Translated Point C'': (-4 - 5, 2 + 4) = (-9, 6)
Therefore, the resulting vertices after the reflection and translation are:
A'(-15, 8)
B'(-4, 5)
C'(-9, 6)
These are the coordinates of the vertices of the resulting triangle after performing the given transformations.
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Tamara is considering two different groups for her relay-race team. Listed below are the different practice times, in minutes, recorded for each group.
which group is most likely to have the best time in the race
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Add the times for each group together and divide by the quantity to find the averages and compare:
Average for green group is: 4.317
Average for blue group is 4.298
The blue group has a lower (faster) average .
Answer: the blue group
Please answer ASAP for notes (will mark someone brainiest if 2 people answer)
Use the image to determine the type of transformation shown
A. Vertical translation
B. Reflection across the X-axis
C.180° counterclockwise rotation
D. Horizontal Translation
Answers
Answer:
it's A.
Step-by-step explanation:
a vertical translation, in the name, means you are moving the graph up or down the y axis. a horizontal translation is moving the graph left or right on the x axis. a reflection across the x axis is all the x values *-1. 180 counterclockwise rotation is rotating the graph top to bottom.
Answer:
A. Vertical translation
Step-by-step explanation:
A vertical translation means the object moves up or down without changing anything else of itself, such as size, rotation, reflection, etc. Only movement up and down.
Reflection is where the object moves as though the axis is a mirror, where the object translates the same distance from the axis, but also flips across the axis, so if it is an x-axis, it flips upside down, and at a y-axis, flips left and right.
A rotation in any direction that is 180 degrees means that the object appears to be flipped opposite of what it started as. For example, if A is at the top point, after rotation, A would be the bottom point.
A horizontal translation is the same as with a vertical translation, except the object moves left or right.
From each of these analyses I provided on each of the answer choices, we can clearly see that the correct answer is the first option, "A. Vertical translation," as the object did exactly as I described what a vertical translation is.
If I helped (and more clearly explained, hopefully, than the other answer), please make this answer brainliest ;)
9. Determine if the following series (A) converge absolutely, (B) converge conditionally or (C) diverge. ∑_(n=0)^[infinity]▒(4n(-1)^n)/(3n^2+ 2n+1 )
10. Find the radius of convergence and interval of convergence for the following Power series:
∑_(n=0)^[infinity]▒〖1/(3^n ) (x-1〗 )^n
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9. The given series converges conditionally.
10. The radius of convergence for the given power series is 3, and the interval of convergence is (-2, 4).
9. To determine the convergence of the series ∑\((4n(-1)^n)/(3n^2+ 2n+1)\), we can use the Alternating Series Test. The alternating series has the form ∑\((-1)^n b_n\) ,
where \(b_n = (4n)/(3n^2+ 2n+1)\).
For this series, we can observe that the terms alternate in sign and the absolute values of the terms approach zero as n approaches infinity. Additionally, the sequence {\(b_n\)} is decreasing. Therefore, the given series converges conditionally.
To find the radius of convergence and interval of convergence for the power series ∑\((1/(3^n)) * (x-1)^n\), we can use the Ratio Test. Applying the Ratio Test, we have:
\(\lim_{n \to \infty}\) \(|(1/(3^{(n+1)})) (x-1)^{(n+1)}|/|(1/(3^n)) (x-1)^n| = |(x-1)/3|\)
For the series to converge, the limit above must be less than 1. Therefore, |(x-1)/3| < 1, which implies |x-1| < 3. This condition defines the interval of convergence.
10. To find the radius of convergence, we consider the endpoints of the interval. The series diverges when x = -2 and x = 4. Therefore, the radius of convergence is the distance between the center of the power series (x = 1) and the nearest endpoint, which is 3.
In summary, the given power series has a radius of convergence of 3 and an interval of convergence of (-2, 4).
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If the letters of sassafras are randomly permuted, what is the probability that the four s's are adjacent and the three a's are adjacent?
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The probability that the four s's are adjacent and the three a's are adjacent is 1/18
The total number of possible permutations of the letters in "sassafras" is 9!/(4!3!2!) = 1260, where 4! and 3! account for the permutations of the four s's and three a's, respectively, and 2! accounts for the permutations of the two remaining letters (f and r).
To calculate the number of permutations where the four s's are adjacent and the three a's are adjacent, we can consider them as a single block of seven letters: (ssssaaa). This block can be arranged in 7!/(4!3!) = 35 ways. The remaining two letters (f and r) can be placed in the remaining two positions in 2! ways.
Therefore, the number of permutations that satisfy the given conditions is 35 x 2! = 70.
The probability of selecting a permutation that satisfies both conditions is then 70/1260 = 1/18.
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A. all real numbers
B. x≤0
C. x≥4
D. -2≤x≤2
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Answer:
D. The true answer is D. -2<x<2
√−100 = ___+ ___i
what is this?? the lesson is called simplifying square roots of negative numbers.
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Answer:
√−100 = 0 + 10i
Step-by-step explanation:
i is equal to the square root of -1
change sqrt(-100) to sqrt(-1) * sqrt(100)
i * 10
10i
For a system described by the transfer function s+1 H(s) = (s+4)²¹ Derive the spectrum of H(jw). Hint. The following rules for complex numbers så and så are helpful 2³¹ = 281 - L8₂ & 4(5₁)² = 2/81 $2 and |s₁| 82 $2 As such 81 4 ($2)² · = 281 − Z(82)² = 28₁ – 2/82. - 1 Find the system response to the input u(t), where u(t) is the unit step function. Hint. Look back at the definition of the system response to the unit step. 2 Find the system response to the sinusoidal input cos(2t+45°)u(t), where u(t) is the unit step function. Hint. Look back at the definition of the system response to a sinusoidal input. 3 Find the system response to the sinusoidal input sin(3t — 60º)u(t), where u(t) is the unit step function. Hint. Look back at the definition of the system response to a sinusoidal input. 4 Use Matlab to plot the frequency response H(jw). Please provide your Matlab code. Hint. Matlab built in functions such as subplot, plot, abs, and angle are useful. 5 Use the Matlab function bode to produce the Bode plot of H (jw). Please provide your Matlab code.
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We are given the transfer function of a system as follows:s + 1 H(s) = (s + 4)²¹We have to find the spectrum of H(jw). To do this, we replace s with jω to obtain:
H(jω) + 1 = (jω + 4)²¹H(jω) = (jω + 4)²¹ - 1 We can further simplify this expression by expanding the expression on the right-hand side using the binomial theorem:
(jω + 4)²¹ = Σn=0²¹ 21Cnjω²¹⁻ⁿ4ⁿWe can then substitute this expression back into the equation for H(jω):H(jω) = Σn=0²¹ 21Cn jω²¹⁻ⁿ4ⁿ - 1Now, we can answer the given questions one by one:
1. To find the system response to the unit step function u(t), we need to find the inverse Laplace transform of the transfer function H(s) = (s + 4)²¹ / (s + 1). We can do this by partial fraction decomposition:
H(s) = (s + 4)²¹ / (s + 1) = A + B / (s + 1) + ... + U / (s + 1)¹⁹where A, B, ..., U are constants that we can solve for using algebra. After we have found the constants, we can take the inverse Laplace transform of each term and sum them up to get the system response.
2. To find the system response to the sinusoidal input cos(2t + 45°)u(t), we can use the frequency response of the system, which is H(jω), to find the output. The output will be the input multiplied by the frequency response.
3. To find the system response to the sinusoidal input sin(3t - 60°)u(t), we can again use the frequency response of the system, which is H(jω), to find the output. The output will be the input multiplied by the frequency response.
4. To plot the frequency response H(jω) using MATLAB, we can define the transfer function as a symbolic expression and then use the built-in MATLAB functions to plot the magnitude and phase of H(jω) over a range of frequencies.
5. To produce the Bode plot of H(jω) using the MATLAB function bode, we can simply pass the transfer function to the bode function. The bode function will then produce the magnitude and phase plots of H(jω).
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The diagram shows a rectangle and a square.
The area of the rectangle is greater than the area of the square.
Write an expression, in its simplest form, for the difference between the areas of the
rectangle and square
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Answer:
Given BelowExplanation:
area of rectangle: length * width
: 5x * (x + 3)
: 5x² + 15x
area of square: length * length
: 3x * 3x
: 9x²
Difference: area of rectangle - area of square
: 5x² + 15x - 9x²
: - 4x² + 15x
i)
when x = 1
- 4x² + 15x
- 4(1)² + 15(1)
11
ii)
when x = 2
- 4x² + 15x
- 4(2)² + 15(2)
14
iii)
when x = 3
- 4x² + 15x
- 4(3)² + 15(3)
9
c)
The difference comes as negative value.
Solve for x. Assume that lines which appear to be tangent are tangent.
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Answer:
7)
\(\tt 2x-14=x-2\)
\(\tt 2x-x=14-2\)
\(\boxed{\tt x=12}\)
~
8)
\(\tt -6+7x=5x+10\)
\(\tt 7x-5x=6+10\)
\(\boxed{\tt x=8}\)
~
9)
\(\tt x-2=2x-6\)
\(\tt 6-2=x\)
\(\boxed{\tt x=4}\)
~
10)
\(\tt 2x+10=4x-10\)
\(\tt 4x-2x=10+10\)
\(\tt 2x=20\)
\(\boxed{\tt x=10}\)
~
11)
\(\tt 5x+7=4x+15\)
\(\tt 5x-4x=15-7\)
\(\boxed{\tt x=8}\)
~
12)
\(\tt 12x=11x+2\)
\(\tt 12x-11x=2\)
\(\boxed{\tt x=2}\)
~
Find the value of x that makes the equation true.
2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9
Answers
Answer:
x = 7/9 or 0.78 as a decimal
Step-by-step explanation:
have a nice day!! :)
A pair of wireless headphones costs $125. Your friend has $40 and plans to save $15 each
month.
a. Write an inequality to show how many months your friend will need to save in order to
purchase the headphones.
5. Solve and graph the inequality.
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The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.
What is meant inequality graph?An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."
Cost of the headphone 125.
What the friend have: 40.
What need to save: 125-40 = 85
Let x = amount to be saved per month
Months to save up the 85 is 15
The equation would be 15 x = 85
Therefore x = 85/15
Which is 5 2/3 months.
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Which polynomial is a factor of both expressions? x – 8 x + 7 x – 2 (x – 2)2
Answers
Answer:
C. x-2
Step-by-step explanation:
edge
Answer: the 3rd the answer c
x-2
Step-by-step explanation:
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
dt = 6
d = 6t
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2056÷8 please don’t use decimals only use remainder
Answers
Answer: 257
Step-by-step explanation: Theres no remainder, and u couldve used a calculator
Answer:
257
Step-by-step explanation:
2056 : 8 = 257
HELP ME I DONT UNDERSTAND THIS!!!!!!!!!!!!!!
Answers
Answer:
x=4
Step-by-step explanation:
4(3x+3)=5(x+8) ------- Given
12x + 12 = 5x + 40
12x-5x= 40-12
7x = 28
x = 4
8x+8
Step-by-step explanation:
from the first you can see that there is a 3 in front of the x and if equal then 8 has to be in front of x as well
please help it’s multiple choice! ( show ur work please )
Answers
Answer:
I think its 12
Step-by-step explanation:
because these half angels are equal to 30,90, and 60
if you are looking for AD then we have half of 10 which is 5
So then we had 5+13=18
If we add 18+12 it will equal to 30
and if we add them all up 13+10+12+13=48
and acute angle-an angle can equal to anything below 90
I think this is correct
In the analysis of variance procedure (ANOVA), "factor" refers to
a. the dependent variable
b. the independent variable
c. different levels of a treatment
d. the critical value of F
Answers
In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).
In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.
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In reference to question 21 above, how much work is required to move a +150μC point charge from P to Q ? (Answer: 0.056 J ) Question 23 A capacitor has a very large capacitance of 10 F. The capacitor is charged by placing a potential difference of 2 V between its plates. How much energy is stored in the capacitor? (Answer: 20J) Question 24 A parallel plate capacitor has plates of area 2.0×10−3 m2 and plate separation 1.0×10−4 m. Determine the capacitance of this system if air fills the volume between the plates. (Answer: 1.8×10−10 F ) Question 25 A potential difference of 120 V is established between two parallel metal plates. The magnitude of the charge on each plate is 0.020 C. What is the capacitance of this capacitor? (Answer: 170μF )
Answers
In question 21, the work required to move a +150μC point charge from P to Q is 0.056 J. In question 23, the energy stored in a capacitor with a very large capacitance of 10 F and a potential difference of 2 V is 20 J. In question 24, the capacitance of a parallel plate capacitor with an area of 2.0×10−3 m2 and plate separation of 1.0×10−4 m, filled with air, is 1.8×10−10 F. In question 25, the capacitance of a capacitor with a potential difference of 120 V and a charge of 0.020 C on each plate is 170μF.
Question 21: To calculate the work required, we use the formula W = qΔV, where q is the charge and ΔV is the potential difference between the points P and Q.
Question 23: The energy stored in a capacitor can be calculated using the formula E = (1/2)CV^2, where C is the capacitance and V is the potential difference across the capacitor.
Question 24: The capacitance of a parallel plate capacitor can be determined using the formula C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation between the plates.
Question 25: The capacitance of a capacitor can be found using the formula C = Q/V, where Q is the charge on each plate and V is the potential difference across the capacitor.
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Can someone tell me what I did wrong?
Answers
Answer:
The answer is 12 feet. .
Step-by-step explanation:
You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.