Answer: (3,inf)
(-inf,3)
Step-by-step explanation:
there is 25 people on a bus they pay R x each if there where 5 more people every body can pay R3 less how much is R x
Based on the given parameters, the value of Rx is R18
How to determine the value of Rx?The given parameters are:
Number of people = 25
Amount paid = Rx
Additional people of 5 = Amount paid being R3 less
The total amount paid is calculated using:
Total amount = Number of people * Amount paid
Substitute the known values in the above equation
Total amount = 25 * x
Total amount = (25 + 5) * (x - 3)
Substitute Total amount = (25 + 5) * (x - 3) in Total amount = 25 * x
(25 + 5) * (x - 3) = 25 * x
Evaluate the sum
30 * (x - 3) = 25 * x
Evaluate the products
30x - 90 = 25x
Collect like terms
30x - 25x = 90
Evaluate the like terms
5x = 90
Divide both sides by 5
x = 18
Hence, the value of Rx is R18
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I need help like NOW!
Answer:
5t
Step-by-step explanation:
kinda self explanatory
dividing it, adding it, and subtracting it wouldnt make sense for the equation youre trying to solve.
Answer:
5t
Step-by-step explanation:
How do you find the exterior angle of this one tho?
Answer:
To find the exterior angle of any polygon, just construct a line following one of the sides, and measure the angle.
Step-by-step explanation:
PLS GIVE BRAINLIEST
No question given. Repost.
2. Consider the system defined by the impulse response h(n)=28(n+3)+28(n)+28(n-3). a) b) c) d) z Represent h(n). (1 v.) Characterize the system in terms of causality and stability. Justify. (1 v.) Determine the frequency response of the system H(ew). (1 v.) Represent module and phase of the system. (1 v.)
The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.
In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.
To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.
However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.
Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.
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Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other
43% of elementary students chose something other than blue, red, or yellow as their favorite color.
The percentage of elementary students who chose something other than blue, red, or yellow as their favorite color can be found by subtracting the sum of the percentages of those three colors from 100%.Blue: 24%
Red: 17%
Yellow: 16%
Total: 24% + 17% + 16% = 57%
Percentage chose something other:
100% - 57% = 43%.
Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.
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Find the value of ( x-y )^2 when x = 9 and y = -8
Answer:
17^2 or 289
Step-by-step explanation:
2. Suppose A is a n x n matrix. Write a matlab code to find: (a) sum of diagonal elements (b) product of diagonal elements (c) Execute the sum and product when A= ones (5)
it displays the computed sum and product of the diagonal elements.
Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:
```matlab
% Define the matrix A
A = ones(5);
% Get the size of the matrix
[n, ~] = size(A);
% Initialize variables for sum and product
diagonal_sum = 0;
diagonal_product = 1;
% Calculate the sum and product of diagonal elements
for i = 1:n
diagonal_sum = diagonal_sum + A(i, i);
diagonal_product = diagonal_product * A(i, i);
end
% Display the results
disp("Sum of diagonal elements: " + diagonal_sum);
disp("Product of diagonal elements: " + diagonal_product);
```
Example execution for `A = ones(5)`:
```
Sum of diagonal elements: 5
Product of diagonal elements: 1
```
In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.
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. Write a function rule for the table.
Х
у
0
0
1
-4.5
-1
4.5
2.
-9
2
f(x) =
4.5
f(3) = -4.52
f(x) = 1 - 4.5
Answer:
f(x) = x + 3
when x = 0, f(x) = 3
when x = 1, f(x) = 1 + 3 = 4
when x = 2, f(x) = 2 + 3 = 5
when x = 3, f(x) = 3 + 3 = 6
answer is D
f(x) = x + 3
Step-by-step explanation: There
What is the approximate value of x? Round to the nearest tenth.
Answer:
40 degreses
Step-by-step explanation:
there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.
Answer:
c
Step-by-step explanation:
cause it is
I Need Help again Pls fast
Answer:
The scale factor is 60
Step-by-step explanation:
The drawing is measured in inches and the billboard is measured in feet. First, convert 15 feet to 180 inches. Then use the ratio \(\frac{180}{3}\) to find that the scale factor is 60. This means the length of the billboard will be 600 inches or 50 feet.
The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, which equation solves for n?
S = (n-2) x 180
F. n = s/180 + 2
G. n = 180s + 2
H. n = s+2/180
J. n = (s+2) x 180
Answer: F. n = s/180 + 2
Step-by-step explanation:
To find the equation that solves for n, we will isolate the n variable.
Given:
S = (n - 2) x 180
Divide both sides of the equation by 180:
\(\frac{S}{180}\) = n - 2
Add 2 to both sides of the equation:
\(\frac{S}{180}\) + 2 = n
Reflexive property:
n = \(\frac{S}{180}\) + 2
F. n = s/180 + 2
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
\(\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2\)
\(\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2\)
\(\\ \sf\longmapsto x^2+y^2=2xy\)
\(\\ \sf\longmapsto x^2+y^2-2xy=0\)
\(\boxed{\sf (a-b)^2=a^2-2ab+b^2}\)
\(\\ \sf\longmapsto (x-y)^2=0\)
\(\\ \sf\longmapsto x-y=\sqrt{0}\)
\(\\ \sf\longmapsto x-y=0\)
Now
\(\\ \sf\longmapsto 4x-4y-4\)
take 4common\(\\ \sf\longmapsto 4(x-y-4)\)
Put the value\(\\ \sf\longmapsto 4(0-4)\)
\(\\ \sf\longmapsto 4(-4)\)
\(\\ \sf\longmapsto -16\)
During a sale, colour pencils were being sold in packs of 24 each and crayons in
packs of 32 each. If you want full packs of both and the same number of pencils
and crayons, how many of each would you need to buy?
Answer:
96 ÷ 32 = 3 packs of crayons.
Step-by-step explanation:
3p+5+4p-2 what is the answer
Answer:
7p + 3
Step-by-step explanation:
3p+5+4p-2
Rearrange the terms.
3p + 4p + 5 - 2
Add or subtract like terms.
(3+4)p + 3
(7)p +3
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Answer:
Step-by-step explanation:
How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 3
x
+
y
=
−
3
and 6
x
−
6
y
=
−
30
?
The system of equations is consistent and has a unique solution at (-4, 1).
To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.
The given system of equations is:
1) 3x + y = -3
2) 6x - 6y = -30
Let's graph these equations:
For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.
For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.
Now, let's plot these lines on a graph:
The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).
The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).
Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).
Now, let's analyze the system:
Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).
In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.
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11 Finding a difference quotient for a linear or quadratic function V Find the difference quotient f(x)=-3x²-2x+5 Simplify your answer as much as possible. f(x +h)-f(x) h f(x+h)-f(x) h = ( where h#0,
The difference quotient for the given function is 9 -2/h.
The difference quotient for the given function can be calculated as:
[f(x+h) - f(x)]/h
= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h
= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h
= (6xh + 3h² - 2h)/h
= (6x + 3h -2)/h
Simplifying the expression further, we get:
(6x + 3h -2)/h = 6 + 3h/h -2/h
= 6 + 3 -2/h
= 9-2/h
Therefore, the difference quotient for the given function is 9 -2/h.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.
f(x)=3x² -2x+5. Simplify your answer as much as possible.
A circle with centre C(-3, 2) has equation x² + y² + 6x - 4y = 12 (a) Find the y-coordinates of the points where the circle crosses the y-axis. (b) Find the radius of the circle. (c) The point P(2,5) lies outside the circle. (i) Find the length of CP, giving your answer in the form √n, where n is an integer. (ii) The point Q lies on the circle so that PQ is a tangent to the circle. Find the length of PQ.
a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.
(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:
0² + y² + 6(0) - 4y = 12
y² - 4y = 12
y² - 4y - 12 = 0
To solve this quadratic equation, we can factor it:
(y - 6)(y + 2) = 0
Setting each factor to zero, we find two possible values for y:
y - 6 = 0 => y = 6
y + 2 = 0 => y = -2
Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).
(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:
x² + y² + 6x - 4y = 12
(x² + 6x) + (y² - 4y) = 12
(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25
Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.
Therefore, the radius of the circle is 5.
(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates into the formula, we have:
CP = √((2 - (-3))² + (5 - 2)²)
= √(5² + 3²)
= √(25 + 9)
= √34
Therefore, the length of CP is √34.
(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.
Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.
Therefore, the length of PQ is equal to 2 times the length of CP:
PQ = 2 * CP
= 2 * 5
= 10
Therefore, the length of PQ is 10.
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In numbers 1-3, write an exponential function y = ab* whose graph passes through the given points. 1. (1,3), (2,12) 2. (1,2), (3,50) 3. (-1,10),(4,0.31) 4. Determine whether the data show an exponential relationship. Then write a function that models the data. 1 6 11 16 21 х 12 у 28 76 190 450 . clocort biabi 1 an hint distinct
As, the data shows an arithmetic progression. Therefore, the function that models the data is: y = 5x + 1.
1. Exponential Function y = ab* whose graph passes through the given points:
(1, 3), (2, 12)
To find the exponential function for this, we can use these two points as follows:
3 = ab1 ...(1)
12 = ab2 ...(2)
Dividing (2) by (1) we get:
12/3 = ab2/ab1
=> 4 = b
Therefore, from (1), we have:
3 = a * b¹
=> 3 = a * 1
=> a = 3
Therefore, the exponential function is:
y = 3(4)x2.
Exponential Function y = ab* whose graph passes through the given points: (1, 2), (3, 50)
To find the exponential function for this, we can use these two points as follows:
2 = ab1 ...(1)
50 = ab3² ...(2)
Dividing (2) by (1) we get:
50/2 = ab3²/ab1
=> 25 = b9
Therefore, from (1), we have:
2 = a * b¹
=> 2 = a * 1
=> a = 2
Therefore, the exponential function is:
y = 2(9)x3.
Exponential Function y = ab* whose graph passes through the given points: (-1, 10), (4, 0.31)
To find the exponential function for this, we can use these two points as follows:
10 = ab-1 ...(1)
0.31 = ab4 ...(2)
Dividing (2) by (1) we get:
0.31/10 = ab4/ab-1
=> 0.031 = b5
Therefore, from (1), we have:
10 = a * b⁻¹
=> 10 = a / b
=> a = 10 / b
Therefore, the exponential function is:
y = (10 / 5)x or y = 2x4.
Determining whether the data show an exponential relationship: 1 6 11 16 21 x 12 y
The first differences are:5, 5, 5, 5
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I need help with this assignment and finding the measures and equations
Answer:
(4x-9)° +(6x+2)° +x° = 180°∠P = 59°∠Q = 104°∠R = 17°Step-by-step explanation:
Given ∆PQR with ∠P = (4x-9)°, ∠Q = (6x+2)°, and ∠R = x°, you want an equation to find x, and the measures of the angles.
EquationThe equation expresses the fact that the sum of angles in a triangle is 180°.
∠P +∠Q +∠R = 180°
(4x -9)° +(6x +2)° +x° = 180°
Solution11x -7 = 180 . . . . . . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . . add 7
x = 17 . . . . . . . . divide by 11
AnglesThe angle measures are found by substituting for x in the angle expressions:
∠P = (4·17 -9)° = 59°
∠Q = (6·17 +2)° = 104°
∠R = 17°
Solve the simultaneous equations
Answer:
(x = -0.90, y = 2.31) and (x = 1.40, y = 9.19)
Step-by-step explanation:
See the attached image
A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
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(y-x)³; where x=1, and y=3 (with calculations pls).
Answer:
8
Step-by-step explanation:
Substitute x = 1 and y = 3 into the expression
(y - x)³
= (3 - 1)³
= 2³
= 8
Sally put $372 into a bank account which will now have $811 in it. Write and solve an equation that show how much was originally in the account.
Answer:
811 - 372 = 439
Step-by-step explanation:
811 minus 372 will equal your original amount (439).
Which expression is a difference of squares with a factor of 5x − 8?
The expression that is a difference of squares with a factor of 5x - 8 is \(25x^2 - 64.\)
To identify the expression that is a difference of squares with a factor of 5x - 8, we need to understand what a difference of squares is and how it relates to the given factor.
A difference of squares is an algebraic expression of the form \(a^2 - b^2,\)where a and b are terms. It can be factored as (a - b)(a + b). In other words, it is the product of two conjugate binomials.
In this case, the given factor is 5x - 8. To determine the other factor, we can set it equal to (a - b) and look for the corresponding (a + b) factor.
Setting 5x - 8 equal to (a - b), we have:
5x - 8 = (a - b)
To find the corresponding (a + b) factor, we consider the signs. Since the given factor is 5x - 8, we can conclude that the signs in the factored expression will be (a - b)(a + b), where the signs alternate. This means the corresponding (a + b) factor will have a positive sign.
So, the (a + b) factor will be (5x + 8).
Now, we have both factors: (a - b) = (5x - 8) and (a + b) = (5x + 8).
To find the expression that is a difference of squares with a factor of 5x - 8, we multiply these two factors:
(5x - 8)(5x + 8)
Expanding this expression using the distributive property, we get:
\(25x^2 - 40x + 40x - 64\)
The middle terms, -40x and +40x, cancel each other out, resulting in:
\(25x^2 - 64\)
Therefore, the expression that is a difference of squares with a factor of \(5x - 8 is 25x^2 - 64.\)
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A different approach: Using a PROPORTION to calculate the
Markup:
Re-write the question as: What is 40% of $110?
is|of p|100
Answer:
Step-by-step explanation:
Aaahhhhh!!! Ja haw has b ha HA n zzz's
Solve for r.
Your answer must be simplified.
-1 <-29
Plz help
The answer is x < 29.......
A stock just paid a dividend of $1.55. The dividend is expected to grow at 26.56% for three years and then grow at 3.42% thereafter. The required return on the stock is 14.40%. What is the value of the stock?
Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)
= $1.55(1 + 26.56%)
= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)
= $2.48(1 + 26.56%)
= $3.
= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r
= required rate of return Let us substitute the values now PV of the future dividends
= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends
= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends
= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock
= PV of the future dividends Value of the stock
= $7.54
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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
The tangents of the acute angles in the right triangle are tan(A) = 7√2/8 and tan(B) = 4/7√2
Find the tangents of the acute angles in the right triangle.From the question, we have the following parameters that can be used in our computation:
Leg 1 = 7
Leg 2 = 4√2
Hypotenuse = 9
The acute angles in the triangle are B and A
The trigonometric ratio for tan A is represnted as
tan(A) = Opposite/Adjacent
Substitute the known values in the above equation, so, we have the following representation
tan(A) = 7/4√2
So, we have
tan(A) = 7√2/8
For the other angle, we have
tan(B) = 4/7√2
Hence, the solution is tan(B) = 4/7√2
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Find the slope of the line that passes through (2, 5) and (2,2 ) WORTH 20 POINTS