PLEASE HELP!!!
Solve.
-2x+3y-z=-2
3x + y = 4
-2y+2z=4
Enter your answer, in the form (x, y, z), in the boxes in simplest terms.
Answers
Step-by-step explanation:
the second equation gives us right away
y = 4 - 3x
we can use that now in the 3rd equation :
-2(4 - 3x) + 2z = 4
-8 + 6x + 2z = 4
6x + 2z = 12
3x + z = 6
z = 6 - 3x
now we use both in the 1st equation :
-2x + 3(4 - 3x) - (6 - 3x) = -2
-2x + 12 - 9x - 6 + 3x = -2
-8x + 6 = -2
-8x = -8
x = 1
y = 4 - 3x = 4 - 3×1 = 4 - 3 = 1
z = 6 - 3x = 6 - 3×1 = 6 - 3 = 3
so,
(1, 1, 3)
Related Questions
Write an integer expression using absolute value symbols to represent the verbal expression.
the opposite of the absolute value of eight
Answers
The absolute value of the given integer(i.e. -7) is 7
Absolute value:
The absolute value (or modulus) | x | of a real number x is its non-negative value regardless of its sign.
A number's absolute value can be assumed as its distance from the origin along the real number line. Furthermore, the distance between two real numbers is the absolute value of their difference.
Let's assume the given integer=-7 and need to find the absolute value of the given integer.
Then the absolute value of the given integer(i.e. -7) is 7
Therefore, The absolute value of the given integer(i.e. -7) is 7
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What’s the domain and range?
Answers
Answer:
Domain: x > -4
Range: y > -1
Step-by-step explanation:
Domain is the points on the x axis that could be vaild for that line.
Range is the points on the y axis that could be valid for that line.
The range is: -4 < y < ∞
To find the domain, we need to look at the graph from a left-to-right standpoint (look at the x-axis). When doing so, the furthest point to the left we see is -4. Given that value, we put that as the first value. Then, we can put x since we’re looking at the x-axis. That would leave us with:
-4 < x < ?
Since there is an arrow on the farthest right side, we would put an infinity sign because it goes on forever. The same process is applied to the y-axis, and when doing so, we will get the same answer but with y.
g= 4a+4/ 5ca solve for A
Answers
The solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
How to solve for in the equation?The equation is given as
g = 4a +4/5
Multiply through the equation by 5
So, we have
5 * (g = 4a +4/5)
Evaluate the products
So, we have
5g = 20a + 4
Subtract 4 from both sides of the equation
So, we have
20a = 5g - 4
Divide through the equation by 20
So, we have
a = 1/20(5g - 4)
Hence, the solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
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If 75% of the employees in a company are female and 5% of those female employees are over 6 feet tall what percentage of the company’s employees are both female and over 6 feet tall
Answers
The percentage of the company’s employees are both female and over 6 feet tall is 3.75%
Let the total number of employees in the given company be x. So, the number of female employees in the company are : 75% × x
Number of female employees in company = 0.75x
Now, calculating number of female employees that over 6 feet tall = 0.75x × 5%
The number of female employees that over 6 feet tall = 0.0375x
Percentage of the company’s employees are both female and over 6 feet tall = percentage of female and tall employees ÷ total number of employees × 100
Percentage of the company’s employees are both female and over 6 feet tall = (0.0375x÷x)×100
Percentage of the company’s employees are both female and over 6 feet tall = 3.75%
Therefore, the percentage of the company’s employees are both female and over 6 feet tall is 3.75%
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Describe the solution to the system of equations graphed below.
3x+y=-6
9x+3y=-18
27
OA The system has the unique solution (3, 4)
OB. The system has infinitely many solutions of the form y=-3x-6 where x is any real number
OC. The system has no solution
OD. The system has the unique solution (3, 18)
Answers
Step by step
Solve the equation
Change the first equation to y intercept form
y = -3x -6
Substitute it into the 2nd equation for y and solve
9x + 3(-3x-6) = -18
Distribution multiply
9x -9x -18 = -18
Add 18 to both sides to isolate x
9x -9x -18 + 18 = -18 + 18
Combine like terms
0 = 0
Since 0 = 0 for any value of x, the system of equations has infinite solutions.
Problem solved !!
Answer:
A.
The system has infinitely many solutions of the form y = -3x - 6 where x is any real number.
Step-by-step explanation:
What is limit as x approaches zero of f(f(x)) closest to?
a. DNE
b. 1
c. 3
d. 5
note: I thought the answer was does not exist, but it ended up being wrong, please help and explain the answer!
Answers
Using limits and numeric value, we have that lim x -> 0 f(f(x)) is closest to:
c. 3.
What is f(f(x))?f(f(x)) is a composite function, hence:
For x = a, first we calculate the numeric value at x = a.Then we calculate the numeric value at x = f(a).What is a limit?A limit is the value that a function f(x) tends as x tends to a value. It there are no undetermined values, we can just verify the numeric value from the graph, but with undetermined values, there are multiple things to look at.
For this function, looking at the graph, we have that:
f(0) = 2, as when x = 0, f(x) = 2.Thus, lim x -> 0 f(f(x)) = lim x - > 2 f(x), because f(0) = 2.Both to the left of x = 2 and to the right of x = 3, from the graph, f(x) approaches 3, hence lim x - > 2 f(x) = 3.This means that option c is the closest approximation for the limit of the function.
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melissa drew a scale drawing of a city. a neighborhood park is 36 inches wide in the drawing. the actual park is 60 yards wide. what is the scale of the drawing?
Answers
The scale of the drawing by using proportion is 3 : 5.
According to the given question.
Melissa drew a scale drawing of a city.
The width of the park in the drawing is 36 inches.
And the actual width of the park is 60 yards.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Therefore, the scale of the drawing by using proportion
= 36iches/ 60 yards
= 3/5
= 3 : 5
Hence, the scale of the drawing by using proportion is 3 : 5.
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I WILL GIVE BRAINIEST TO WHO ANSWERS RIGHT AND MORE POINTS
Answers
Answer:
x = 22 y = 113
Step-by-step explanation:
3x-15 = 2x+7
-2x -2x
x-15 = 7
+15 +15
x = 22
180-51 = 129
y+16 = 129
-16 -16
y = 113
Answer:
x = 22
y = 113
Step-by-step explanation:
The angles marked as (2x+7) and (3x-15) are vertical angles, and therefore are equal to each other.
2x + 7 = 3x - 15 simplifying:
7 = x - 15
22 = x
Angles marked as (3x-15) and (y+16) form a linear pair and are therefore supplimetery. Now that we know the value of x, we can set up the following equation.
3(22) - 15 + y + 16 = 180 simplifying:
66 - 15 + y + 16 = 180
66 + y + 16 = 195
y = 113
Find the value of x.
Answers
Answer:that a accute angle
Step-by-step explanation:
`y=2x^{2}+12x+20` find the vertex
Answers
Answer: (-3,2)
Step-by-step explanation:
Answer:
(-3, 2)
Step-by-step explanation:
There are two methods on finding the vertex. The one I will be using is the faster version.
y=2x^{2}+12x+20
a=2 b=12 c=20
First use the formula -b/2a.
-(12)/2(2)=
=-12/4=-3
-3 is the x-coordinate.
Plug in -3 into the equation for x.
y=2(-3)^{2}+12(-3)+20
y=2(9)+12(-3)+20
y=18-36+20
y=2
The y-coordinate is 2
Use (x, y) for the vertex.
x=-3
y=2
The vertex is (-3, 2)
Hope this helps!
Please mark as brainliest if correct!
please find x to this. 5/9x -11 = -51
Answers
5/9x -11 = -51
5/9x = 11 - 51
5/9x = -40
5x = -360
x = -72
Please help my I ready is due today !!!
Answers
Answer:
calculate the number of terms of the series 5;8;11;...173
◄) Which lists contain only irrational
numbers? Select all that apply.
-11.8, -7.3, -9.7, -3, 61.4
√20
I
25
100
50,
21 3 1 2 1
22' 11' 9'
5' 17
I
35, 65 70
I
-
81,√36
I
144,
2/2,5/5,3/3, 6√6,7√7
(
Answers
Answer:
the 2 nd and 5 th box contain irrational number
Step-by-step explanation:
1 St and 3 Rd are clearly rational and 4 th can be converted into rational like root 25 is 5.
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
How long is the street?
Use the value 3.14 for 1. Round your answer to the nearest tenth. Do not round any Intermediate steps.
Answers
351.7 ft is the length of the street
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
The total distance of the street is the number of times the wheel turns multiplied by its circumference. Thus:
C = πD
L = nπD
L = 35 x 3.14 x 3.2
Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any Intermediate steps
L = 351.7 ft
Hence 351.7 ft is the length of the street
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place the following complex number in a two dimensional complex plane and find their absolute value "1+i)
Answers
The point (1,1) represents 1+i in the two dimensional complex plane. Absolute value of 1+i = [tex]\sqrt{2}[/tex].
Given the complex number, z = 1+i
The general form of a complex plane is x+iy, where x and y are real numbers.
We can place any complex number into a two-dimensional complex plane with two axes - X and Y.
For z = 1+i, x = 1 and y = 1. So the point (1,1) will represent z = 1+i in the two dimensional complex plane.
The absolute value of a complex number z = x+iy is given by ,
|z| = [tex]\sqrt{x^2+y^2}[/tex]
So for z = 1+i, |z| = [tex]\sqrt{1^2+1^2}=\sqrt{2}[/tex]
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if a line passed through (0,0),(1,8),(3,24) and (x,44) what is x?
Answers
Answer: x=5.5
Step-by-step explanation:
First you need to find the slope using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. Thankfully, we have (0, 0) and (1, 8) as points, which makes it easy to find that the slope is 8.
Once we have the slope, we divide 44 by 8 to get 5.5
Turn these into ratios, what is the simplest form?
Answers
Answer:
1. [tex] \frac{39}{59} = 39:59[/tex]
2. [tex]\frac{52}{120} = 13:30[/tex]
The above should be what you're looking forThe function f(x)=x^2 times the graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
Answers
The function rule for g(x) is (x₊6)² ₋ 5. According to the given data we apply the translations onto the graph and from the graph we determine the function of g(x).
Given, the function of f(x) = x²
The base graph is moved up or down in the y-axis direction when a graph is vertically translated. Each point on a graph is moved k units up the graph to translate it vertically. Shifting the f (x) k units vertically will allow you to sketch the equation g (x) = f (x) + k.
The graph of g(x) is f(x) translated to 6 units left and down 5 unit.
Draw the translations onto the graph. In the given graph provided, the yellow curve indicates the function g(x).
therefore g(x) = (x₊6)² ₋ 5 is the function from the graph.
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FIRST PERSON GETS BRAINLIEST
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?
(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)
Answers
Another way to write this rule is (x, y) = (x - 8, y + 4)
Which is another way to write this rule?The translation rule is given as:
T–8, 4(x, y).
The above means that
x = x - 8
y = y + 4
Express as a transformation rule
So, we have
(x - 8, y + 4)
Rewrite as:
(x, y) = (x - 8, y + 4)
Hence, another way to write this rule is (x, y) = (x - 8, y + 4)
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68=3(6r-1)-7(1-3r) please help i need directions how not just an answer
Answers
Answer:
r=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
68=3(6r−1)−7(1−3r)
68=(3)(6r)+(3)(−1)+(−7)(1)+(−7)(−3r)(Distribute)
68=18r+−3+−7+21r
68=(18r+21r)+(−3+−7)(Combine Like Terms)
68=39r+−10
68=39r−10
Step 2: Flip the equation.
39r−10=68
Step 3: Add 10 to both sides.
39r−10+10=68+10
39r=78
Step 4: Divide both sides by 39.
39r/39=78/39
r=2
Find the distance between the two points shown on the graph below, located at (1, 2) and (3, 1).
Answers
The distance between the two points as depicted on the graph is:
√5.
Given, the points are:
(1,2) = (x₁,y₁) and
(3,1) = (x₂,y₂)
We know that distance between two points is:
d = √(x₂-x₁)²+(y₂-y₁)²
d = √(3-1)²+(1-2)²
d = √(2)²+(-1)²
d = √4+1
d = √5
Hence we get the distance between two given points as √5
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the length of a new rectangular playing field is yards longer than the width. if the perimeter of the rectangular playing field is yards, what are its dimensions?
Answers
The width is 53 yards and the length is 108 yards.
What is the perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter. There are several practical applications for calculating the perimeter.To find the dimensions:
First, we'll turn the information we have into an equation, where x is our unknown dimension.For this problem, it would be preferable if x equaled width.Let's write the equation down:X is the width, 2x + 2 is the length, and we multiply both by two because the field has two sides. Because the perimeter is 322, it will all add up to 322.2 × x + 2(2x +2) = 322Now, solve as follows:
2 × x + 2(2x + 2) = 3222x + 4x + 4 = 3226x + 4 = 3226x = 318x = 318 ÷ 6x = 53The width measures 53 yards.
To calculate the length, multiply 53 by two and add two.
53 × 2 + 2 = 106 + 2 = 108 yardsTherefore, the width is 53 yards and the length is 108 yards.
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The correct question is given below:
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?
A metade dos objetos de uma caixa mais a terça parte desses objetos é igual a 25. Quantos objetos há na caixa?
Answers
Answer:
Explicação passo-a-passo:
Podemos atribuir a incógnita x ao número de objetos que há na caixa. Assim, teremos as seguintes relações:
Metade dos objetos da caixa = 1/2x
Terça parte dos objetos da caixa = 1/3x
Portanto, o número de objetos que há na caixa será dado resolvendo a equação:
1/2x + 1/3x = 25
3/6x + 2/6x = 25
5/6x = 25
x = 25/(5/6)
x = 25 . (6/5)
x = 150/5
x = 30
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ytzinhawww
ytzinhawww
há 5 minutos
Matemática
Ensino fundamental (básico)
1.Na portaria de um prédio chegaram, certo dia, 65 cartas. Desse total,1/5 foi entregue no 1°andar. Qual é o número de cartas distribuídas nos outros andares? (tem que fazer a conta)
a. 20
b. 35
C. 48
d. 52
2.foram entrevistados 420 candidatos a determinada vaga de um emprego. sabe-se que 5/7 desse número de candidatos foram rejeitados. Então, foram aceitos:
a. 300 candidatos
b. 210 candidatos
C. 380 candidatos
d. 120 candidatos
3.a figura está dividida em cinco partes iguais. a parte pintada representa:
⬜⬜⬜⬜
a. 10%
b. 12%
C. 20%
d. 25%
4.numa caixa 100 bolas, 45 são vermelhas, 20 são azuis, e o restantes são amarelas. em relação ao total a porcentagem de bolas amarelas é:
a. 55/100
b. 25/100
c. 45/100
d. 35/100
5.um dia tem 24 horas, uma hora tem 60 minutos e 1 minuto tem 60 segundos. a fração da hora que corresponde a 35 minutos é:
a. 7/4
b. 7/12
C.35/24
d. 60/35
6.dois terços da população de um município correspondem a 36000 habitantes. pode-se afirmar que esse município tem:
a) 18000 habitantes
b) 36000 habitantes
C) 48000 habitantes
d) 54000 habitantes
7.uma plantação foi feita de modo a ocupar 2/5
da terça parte da área de um sítio, como mostra a figura em relação à área total do sítio, a fraçao que representa a área ocupa por essa plantação é:
⬜⬜
⬜⬜
⬜⬜
⬜⬜
⬜⬜
bem por favor alguém me ajude preciso até amanhã pq é muito importante e se for me ajuda n esquece a conta pq a prof é bem exigente.tchau
PLEASE HELP ILL MARK YOU BRAINLIST
Answers
EXPLANATION:
He is getting both his brother and sister truffles which the 2 represents.
The 1.75 is the cost per truffle
he gets them gift wrapped so you add the total of each costing truffle 1.75 + 3.00= 4.75
but doesn’t know the amount he will be getting which the X represents.
which gives you the equation of 2(4.75x)
14 points :) please explain thank you so much!
Answers
The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The graph represents the given parameters
On the graph, we have the following endpoints
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
The domain
The definition of the domain implies that the domain of a function is the set of x values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the maximum
Closed circle at (-2, -1)
Open circle at (-5, -2)
Remove the y coordinates
So, we have
Closed circle at (-2)
Open circle at (-5)
Combine the x values
-2 ≤ x < -5
The range
The definition of the range implies that the range of a function is the set of y values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the smaller larger y value of the endpoints)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the x coordinates
So, we have
Open circle at (-2)
Maximum = (1)
Combine the y values
-2 < y < 1
Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
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Write the slope intercept form of the equation for each line.
Answers
Answer: y=-4/5x-1.5
Step-by-step explanation: Both values are negative because your line is angled downwards from left to right and your y-intercept is below the x-intercept line.
Your 'b' or y-int is a little wonky, but I'm confident with what answer I'm handing to you.
Figure 2 shows 4 strips of paper formed from cutting ABCD. Figure 1 below shows a piece of rectangular paper ABCD where AB= (3x - 1) cm and BC= The total perimeter of the 4 strips is 170 cm. D C (b) Hence show that ABCD is a square. 2x+5 B 3x-1 Figure 1 (a) Form an algebraic equation in x and solve it. D 2x 326-1 Figure 2 C 2x75 = (2x + 5) cm. B
Answers
Solve for x.
6x-2+16x+40=170
22x= 170+2-40
22x =132
x = 132/22 = 6
(b) Length AB = 3x-1 = 3(6)-1 = 17cm
Length BC = 2x+5 = 2(6)+5 = 17cm
Since length AB and BC are equal, Figure ABCD is a square of length 17cm.
i have four identical oranges. how many ways are there for me to divide these oranges into at most three groups? (by definition, a group must have at least one orange.)
Answers
Answer:
put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges
Step-by-step explanation:
How do I write -2=y into slope intercept form?
Answers
Answer:
(0,-2)?
Step-by-step explanation:
como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes
Answers
Answer:
pamachino ala iscola iyo kapito binisimo bambena ilina