Answers
So, on solving the question the inequality equation, that will be formed here is 3x3+2y>1 and 4xx-y< -3
What do you call the solution to the system of linear inequalities?If not, shade the other side of the plane. Graph each of the system's inequalities similarly. The place where all of the system's solutions intersect is where the system of inequalities' solution is located.
One solution pair exists for each independent system (x,y). There is just one possible location: the intersection of the two lines. There is no way to fix an inconsistent system. The two lines are parallel and will never cross one another, as you can see. There are countless ways to solve a dependent system.
If the inequality is true when the values of x and y are substituted, then an ordered pair (x,y) is the solution to the linear inequality. As a result, if the absolute value expression is set to a negative number, there is no solution.
the inequality equation, that will be formed here is
3x3+2y>1
and 4xx-y< -3
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17 ≥ 6x is the inequality which can be represented for the given variable x.
What do you call the solution to the system of linear inequalities?If not, shade the other side of the plane. Graph each of the system's inequalities similarly. The place where all of the system's solutions intersect is where the system of inequalities' solution is located.
One solution pair exists for each independent system (x, y). There is just one possible location: the intersection of the two lines. There is no way to fix an inconsistent system. The two lines are parallel and will never cross one another, as you can see. There are countless ways to solve a dependent system.
If the inequality is true when the values of x and y are substituted, then an ordered pair (x,y) is the solution to the linear inequality. As a result, if the absolute value expression is set to a negative number, there is no solution.
You must pay $8.50 or less for the copies and each copy is $0.30
Let the number of copies be x and we have the inequality,
8.50 ≥ 0.30x
Divide 5 and multiply 10 from both sides
17 ≥ 6x
Thus, 17 ≥ 6x is the inequality which can be represented for the given variable x.
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Related Questions
Given A(2, 3) B(1, 4) C(1, 3) D(-2, 2). How are AB and CD related?
Answers
The vector AB is not related with the vector CD as k is not the same for each pair of components.
Are two vectors similar?In this question we must prove if the vector AB is a multiple of the vector CD, that is:
[tex]\overrightarrow{AB} = k \cdot \overrightarrow {CD}[/tex]
[tex]\vec B - \vec A = k \cdot [\vec D - \vec C][/tex]
(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]
(- 1, 1) = k · (- 3, - 1)
Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.
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Help with this question please.
Answers
Answer:
Step-by-step explanation:
10 points please help me and i will mark brainlyist
Answers
Answer:
Min: 32
Lower Quartile: 36
Median: 42
Upper Quartile: 47
Max: 53
Interquartile: 11
Step-by-step explanation:
The min. is just the lowest number. The lower quartile is the number in the middle of the numbers below 42, the median is the number in the very middle, the upper quartile is the middle number above 41 and the interquartile is the upper quartile minus the lower quartile.
Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0. Are Rectangle 1 and Rectangle 2 similar? Why or why not? Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1. Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1. Answer:
Answers
Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.
Are the two rectangles similar?
We know that rectangle 1 has dimensions L and W.
And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.
Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.
Then:
Dimensions of rectangle 1:
Length = LWidth = W.Perimeter = 2*(W + L)Area = W*LFor rectangle 2:
Length = k*LWidth = k*WPerimeter = 2*(k*L + k*W) = k*(2*(L + W))Area = (k*L)*(k*W) = k²(L*W)Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.
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Which equation shows an example of the associative property of addition? (–7 i) 7i = –7 (i 7i) (–7 i) 7i = 7i (–7i i) 7i × (–7i i) = (7i – 7i) (7i × i) (–7i i) 0 = (–7i i)
Answers
The equation which shows the associative property of addition is; (–7 + i) +7i = –7 (i +7i).
What is the associative property of addition?Associative property of addition postulates that Changing the grouping of addends does not change the sum of the numbers. As an instance, ( 5 + 3 ) + 4 = 5 + ( 3 + 4 )
Consequently, the equation which shows the associative property of addition is; (–7 + i) +7i = –7 (i +7i)
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Solve this recurrence relation together with the initial condition given. an = 2an−1 for n ≥ 1, a0 = 3
Answers
The solution of the recurrence relation is [tex]a_n=3.2^n[/tex]
For given question,
We have been given a recurrence relation [tex]a_n = 2a_{n-1}[/tex] for n ≥ 1
and an initial condition [tex]a_0=3[/tex]
Let [tex]a_n[/tex] = m², [tex]a_{n-1}[/tex] = m and [tex]a_{n-2}[/tex] = 1
So from given recurrence relation we get an characteristic equation,
⇒ m² = 2m
⇒ m² - 2m = 0 .........( Subtract 2m from each side)
⇒ m(m - 2) = 0 .........(Factorize)
⇒ m = 0 or m - 2 = 0
⇒ m = 0 or m = 2
We know that the solution of the recurrence relation is then of the form
[tex]a_n=\alpha_1 {m_1}^n + \alpha_2 {m_2}^n[/tex] where [tex]m_1,m_2[/tex] are the roots of the characteristic equation.
Let, [tex]m_1[/tex] = 0 and [tex]m_2[/tex] = 2
From above roots,
[tex]\Rightarrow a_n=\alpha_1 {0}^n + \alpha_2 {2}^n\\\\\Rightarrow a_n=0+\alpha_2 {2}^n\\\\\Rightarrow a_n=\alpha_2 {2}^n[/tex]
For n = 0,
[tex]\Rightarrow a_0=\alpha_2 {2}^0\\\\\Rightarrow a_0=\alpha_2 \times 1\\\\\Rightarrow a_0=\alpha_2[/tex]
But [tex]a_0=3[/tex]
This means [tex]\alpha_2=3[/tex]
so, the solution of the recurrence relation would be [tex]a_n=3.2^n[/tex]
Therefore, the solution of the recurrence relation is [tex]a_n=3.2^n[/tex]
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1.an examination in three subjects algebra,biology ,chemistry was taken by 41 students. the following table shows how many students failed in each single subject and their various combinations: subject a b c ab ac bc abc failed 12 5 8 2 6 3 1 how many students failed at least in one subject?
Answers
12+5+8+2+6+3+1= 37
HELP NEEDED ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Consider function h.
What is the range of function h?
Answers
Answer: (-[tex]\infty[/tex], [tex]\infty[/tex])
Step-by-step explanation:
The following graph is a graph with a slant asymptote, which is an asymptote that isn't horizontal or vertical (i.e. doesn't have a slope of 0 or [tex]\infty[/tex]).
To review, an asymptote is a line that the graph of a function approaches, but will never touch. Normally, a horizontal asymptote would limit the range as the graph can never cross a certain y-value.
However, there is no such y-value that must not be crossed in a slant asymptote; therefore, there is not limitation to the range. The range would be all real numbers.
Hence, the range of function h is (-[tex]\infty[/tex], [tex]\infty[/tex]).
The student body of 135 students wants to elect two representatives combination or permutation
Answers
The method to use is Combination
What is combination?Combination is a way or method of selecting items from a collection without a defined order or manner.
The formula for finding Combination is given as;
Combination = n!/ r!(n -r)!
n = 135
r = 2
Combination = 135!/ 2!(135 - 2)!
Thus, the method to use is Combination
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Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2
Answers
Factorize the sum of cubes:
[tex]x^3 + y^3 = (x+y) (x^2 - xy + y^2)[/tex]
so [tex]x^2-xy+y^2[/tex] is a factor of [tex]x^3+y^3[/tex]. Then the HCF is [tex]\boxed{x^2 - xy + y^2}[/tex].
A line passes through the points (-1,-1) and (5,8) which points lie on the same line?
Answers
Answer: all points [tex](x,y)[/tex] that satisfy [tex]y=\frac{3}{2}x+\frac{1}{2}[/tex]
Step-by-step explanation:
The slope of the line is
[tex]\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}[/tex]
So, substituting into point-slope form, the equation is
[tex]y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}[/tex]
Therefore, all points [tex](x,y)[/tex] that satisfy [tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] will lie on the same line.
A 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece will be 2 feet longer
than the other two.
Which equation could be used to solve for the lengths?
x+x+x=10+2
x+x+ 2 x= 10
x+x+x+2=10
x+x+x-2=10
Answers
Answer:
the third : x + x + x + 2 = 10
Step-by-step explanation:
x = the length of the first 2 pieces.
the third piece will be x+2 ft long.
so, the total length of the original board is the sum of all 3 pieces and must be all in all 10 ft.
10 = x + x + (x + 2) = x + x + x + 2
so, it is the third answer option.
Ryan is cleaning out his room. his sister gives him 4 boxes of books to put with the 3 books he already had. when he finishes cleaning he discovers he now has 35 books on his shelves. how many books were in each box?
Answers
Answer:
8 books per box.
Step-by-step explanation:
One must assume that the books are evenly distributed among the boxes. Ryan has 3 books already and adds 4 boxes to reach a total of 35 books:
3 books + 4 boxes = 35 books
4 boxes = 35 books-3 books
4 boxes = 32 books
1 box = 8 books
There are 8 books per box.
A car-making factory has 480 wheels. how many cars can be completed with the wheels?
Answers
Answer:
See below
Step-by-step explanation:
If the car has 4 wheels 480/4 = 120 cars
If the car has 3 wheels 480/3 = 160 cars
If the car has 6 wheels ( like a dual truck) 480 / 6 = 80
The top of the John Hancock Building is a rectangle whose length is 60 ft more than the width. The perimeter is 520 feet. What is the length?
Group of answer choices
a. L = 160 ft
b. L = 40 ft
c. L = 100 ft
d. L = 80 ft
Answers
Answer:
160 ft
Step-by-step explanation:
We have
2(length + width)= perimeter
than,
let, width =x
now,
2(x+60+x) = 520
or, 2x+60 = 260
or, 2x = 200
or, x = 100
so length is 100+60 = 160
Which of the following rational functions is graphed below?
--10
10-
-10
O A. F(X) = x+1
10
Answers
Answer: D
Step-by-step explanation:
There are vertical asymptotes at [tex]x=\pm 1[/tex].
This eliminates everything except for D.
The graph is of the rational function f(x) = 1 / (x-1)(x + 1) Hence, Option D. is correct.
What is rational function?A rational function is an algebraic fraction such that both the numerator and denominator are polynomials.
Here, we have been given the graph.
We have to find which of the given rational functions is graphed in image.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = - 4 and at x = 1.
Corresponding to x = - 4, factor is (x+4) and Corresponding to x = 1, factor is (x-1) .
So, this graph is of the rational function
f(x) = 1 / (x-1)(x + 1)
Hence, Option D. is correct
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I need help with cancelling units
Answers
the trick being, you flip the ratio as needed, hmmm in this case we want 750 oz converted to lbs, so hmmm we'd want to cancel out the "oz" part and only leave the "lbs" part,
[tex]750~~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cfrac{1lbs}{16~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{750}{16}lbs\implies 46.875lbs[/tex]
notice, to cancel out the "oz", we placed the 16 at the bottom.
Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 5 vans and 2 buses y with 115 students. High School B rented and filled 1 van () and 6 buses () with 163 students. Each van carried the same number of students and each bus carried the same number of students. Write equations to represent the scenario. Then, graph to find the number of students in each van and in each bus.
Answers
Each van carries 13 students and each bus carries 25 students.
DistributionGiven that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:
5X + 2Y = 1151X + 6Y = 1635X + 2Y = 1155X + 30Y = 815815 - 115 = 28Y700 = 28YY = 700 / 28y = 251X + 6x25 = 1631X = 163 - 150X = 13Therefore, each van carries 13 students and each bus carries 25 students.
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Answer:
Each van carries 13 students and each bus carries 25 students.
Step-by-step explanation:
PLEASE HELP IM SO STUCK PLS
Answers
Answer:
x-intercept: (-22, 0)y-intercept: (0, 6)Step-by-step explanation:
Each intercept is found by solving for the variable after the other variable is set to zero.
X-interceptSet y = 0 and solve for x:
-3x = 66
x = 66/(-3) = -22 . . . . . divide by the coefficient of x
The x-intercept is (-22, 0).
Y-interceptSet x = 0 and solve for y:
11y = 66
y = 66/11 = 6 . . . . . . . . divide by the coefficien tof y
The y-intercept is (0, 6).
__
Additional comment
The given equation is in standard form (almost). This form makes it easy to find the intercepts by dividing the constant by the variable's coefficient, as we did above.
(We say "almost" standard form because the leading coefficient is negative. It would be positive in standard form: 3x -11y = -66.)
Answer: (-22,0) and (0,6) in order
Step-by-step explanation:
x-intercept means point of graph that intersects the x-axis and y=0
y-intercept means point of graph that intersects the y-axis and x=0
So the x-intercept is -3x + 0 = 66 as y = 0
x = -22 so the coordinate is (-22,0)
The y-intercept is 0 + 11y = 66 as x = 0
y = 6 so the y-intercept is (0,6)
The Table Shows a proportional relationship between x and y for each Value of x and y match it to the correct unit rate y/x in its simplest form
Answers
The correct proportions are given as follows:
x = 3, y = 27: 9/1.x = 9, y = 81: 9/1.x = 21, y = 126: 6/1.x = 14, y = 84: 6/1.x = 12, y = 36: 3/1.x = 15, y = 45: 3/1.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions for this problem are given dividing y by x, hence:
x = 3, y = 27: 27/3 = 9, hence 9/1 has to be marked.x = 9, y = 81: 81/9 = 9, hence 9/1 has to be marked.x = 21, y = 126: 126/6 = 6, hence 6/1 has to be marked.x = 14, y = 84: 84/14 = 6, hence 6/1 has to be marked.x = 12, y = 36: 36/12 = 3, hence 3/1 has to be marked.x = 15, y = 45: 45/15 = 3, hence 3/1 has to be marked.More can be learned about proportions at https://brainly.com/question/24372153
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Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answers
The equations that are true for x = –2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16
Equations and expressionsGiven the solution to a quadratic equation to be -2 and 2, the equation is expressed as:
(x-(-2))(x -2) = 0
(x+2)(x - 2) = 0
Expand
x^2 - 2x + 2x - 4 = 0
x^2 - 4 = 0
Hence the equations that are true for x = –2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16
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A bike shop offers three kinds of cycles—tricycles, bicycles, and unicycles. Together, the cycles in the shop have a total of 98 wheels and 46 seats. (Tricycles have 3 wheels, bicycles have 2 wheels, and unicycles have 1 wheel. All cycles have 1 seat.) There are twice as many bicycles as tricycles. How many of each type of cycle are in the shop?
Answers
Answer:
There are 13 tricycles, 26 bicycles, and 7 unicycles.
Step-by-step explanation:
Let t=the number of tricycles, b=the number of bicycles, and u=the number of unicycles.
Equation to find the number of wheels:
3t+2b+u=98
This can be found because we know that each tricycle has 3 wheels, so we multiply the number of tricycles by 3. This can be done with bicycles and unicycles as well.
Equation to find the number of seats:
t+b+u=46
We know that there are two times as many bicycles as there are tricycles, this can be represented by the equation b=2t.
We can plug this into our number to wheels equation to get:
3t+2(2t)+u=98
3t+4t+u=98
7t+u=98
u=-7t+98
We can also put this into out number of seats equation to get:
t+2t+u=46
3t+u=46
u=-3t+46
Set the equations equal to each other to get:
-7t+98=-3t+46
-4t+98=46
-4t=-52
t=13
b=2t
b=2(13)
b=26
b+t+u=46
26+13+u=46
39+u=46
u=7
There are 13 tricycles, 26 bicycles, and 7 unicycles.
what is the surface area of the pyramid?
Answers
Answer: SA = 445.05
Step-by-step explanation:
Find the measure of each interior angle of a regular octagon. (A regular polygon is one that has all the same sides and angles). [1]
Answers
The interior angle of a regular octagon is 135 degrees.
What is an octagon?An octagon is a polygon that has 8 sides. Therefore, a regular octagon is a octagon with all it sides and angles equal to each other.
Therefore, the sum of angles in an octagon is each interior angle multiply by the number of sides.
Therefore,
n = number of sides = 8
Hence,
interior angle = (n - 2)180 / n
interior angle = (8 - 2)180 / 8
interior angle = 6 × 180 / 8
interior angle = 1080 / 8 = 135°
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i really need hep with this question
(5x-7)-5(7x-12)+7=0
Answers
Answer:
x = 2
Step-by-step explanation:
Simplifying expressions:5x - 7 - 5(7x - 12) + 7 = 0
Distribute (-5) to each term of (7x - 12)
5x - 7 + 7x*(-5) + (-12)*(-5) + 7 = 0
5x - 7 - 35x + 60 + 7 = 0
5x - 35x - 7 + 60 +7 = 0
Combine like terms.
-30x + 60 = 0
Subtract 60 from both sides
-30x = -60
Divide both sides by (-30)
x = (-60)/(-30)
x = 2
Answer:
2
Step-by-step explanation:
Simplifying the Algebraic Equation.
( 5x - 7 ) -5 (7x - 12 ) + 7 = 0
Removing brackets.
5x - 7 - 35x + 60 + 7 = 0
Combining like terms.
5x - 35x + 60 + 7 - 7 = 0
- 30x + 60 = 0
- 30x = - 60
dividing bothsides by - 30
[tex] \frac{ - 30x}{ - 30} = \frac{ - 60}{ - 30} \\ \\ x \: = 2[/tex]
30men can do a piece of work in 40 days how long will it take to complete the work by 25 men
Answers
Step-by-step explanation:
men × days=men1×days1
30×40=40×x
x=30days
PLEASE HELP CORRECT ANSWER ONLY PLS
Answers
Answer:
y = -1x + 5
Step-by-step explanation:
y = mx + c
y = gradient(x intercept) + y intercept
y = -1x + 5
Question 13 (5 points
if the current mortgage rates are high and expected to drop in the near future, which of the following loans do you not want to get?
fixed rate
15-year
variable rate
30-year
Answers
When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.
What is mortgage?It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.
In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.
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Given the following vectors in component form:
r = ⟨2, 3⟩
s = ⟨5, –3⟩
t = ⟨–8, 6⟩
Check all expressions whose sum represents the same vector as (r + s) + t.
LeftAngleBracket 0, 7 RightAngleBracket + LeftAngleBracket negative 8, 6
RightAngleBracket LeftAngleBracket 7, 0 RightAngleBracket + LeftAngleBracket negative 8, 6 RightAngleBracket LeftAngleBracket 2, 3 RightAngleBracket + LeftAngleBracket negative 3, 3 RightAngleBracket LeftAngleBracket 2, 3 RightAngleBracket + LeftAngleBracket 3, negative 3 RightAngleBracket LeftAngleBracket negative 6, 9 RightAngleBracket + LeftAngleBracket 5, negative 3 RightAngleBracket
Answers
All expressions whose sum represents the same vector as (r + s) + t. is Option b,c,e
What are the expressions that equals (r + s) + t. ?Where
r= (2,3)
s= (5,-3)
t= (-8,6)
Generally, the equation for statement is mathematically given as
(7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t
Therefore
x=(2,3)+(5,-3)
x=(7,0)
Now we can calculate (r+s)+t as
(7,0)+(-8,6)
(7-8,0+6)
(-1,6)
For (b)
x=(7,0)+(-8,6)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (c)
x=(2,3)+(-3,3,)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (e)
[tex]x=(-6,9)+(5,-3)[/tex]
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
In conclusion, all expressions whose sum represents the same vector as (r + s) + t. is b,c,e
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Help me solve this image please!!!
Answers
Based on the information, Christian would have $5525.5 of an annuity.
How to calculate the annuity?According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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