Answers
Answer:
c
Step-by-step explanation:
Step 1
Solve 3x-y=-63x−y=−6 for yy.
y=6+3xy=6+3x
Step 2
Substitute 6+3x6+3x for yy in the second and third equation.
2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4
Step 3
Solve these equations for xx and zz respectively.
x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z z=-1-xz=−1−x
Step 4
Substitute -\frac{17}{6}+\frac{5}{6}z−
6
17
+
6
5
z for xx in the equation z=-1-xz=−1−x.
z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z)
Step 5
Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z) for zz.
z=1z=1
Step 6
Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z.
x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1
Step 7
Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1.
x=-2x=−2
Step 8
Substitute -2−2 for xx in the equation y=6+3xy=6+3x.
y=6+3\left(-2\right)y=6+3(−2)
Step 9
Calculate yy from y=6+3\left(-2\right)y=6+3(−2).
y=0y=0
Step 10
The system is now solved.
x=-2x=−2 y=0y=0 z=1z=1
Solution
x=-2x=−2
y=0y=0
z=1z=1
Related Questions
What's the distance between (0,2) and (0,8)?
Answers
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
yr8 enlargements......
Answers
If the triangle ABC is enlarged using the point P as a center, then the point of the dilated triangle will be A'(-3, 2), B'(1, 2), and C'(-1, -2).
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The coordinate of point P will be (5, 4).
Let shift the origin at P, then the coordinate of ABC will be
A(-4, -1), B(-2, -1), and C(-3, -3)
If the scale factor is 2. Then the coordinate of the triangle A'B'C' will be
A'(-8, -2), B'(-4, -2), and C'(-6, -6)
Then shift the origin at (0, 0), then the coordinate of A'B'C' will be
A'(-3, 2), B'(1, 2), and C'(-1, -2)
The graph is shown below.
More about the dilation link is given below.
https://brainly.com/question/2856466
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convert from decimal to fraction(
all steps) 0.36
[tex]0.36[/tex]
Answers
Answer:
this gives 36/100 that is the fraction for the decimal
Answer:
9/25
Step-by-step explanation:
Step 1. Multiply by 100 :
0.36 × 10036Step 2. Divide by 100 and leave in fractional form :
36/100Step 3. Simplify by dividing throughout 4 :
(36/4)/(100/4)9/25Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 18 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 13.25 minutes to 22.75 minutes
B. 8 minutes to 28 minutes
Answers
Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:
B. 8 minutes to 28 minutes.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:
18 - 2 x 5 = 8 minutes.18 + 2 x 5 = 28 minutes.Hence option B is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Y=3x+2
X
-2
-1
0
1
2
Answers
Answer:
x y ordered pair
-2 3(-2) + 2 = -4 (-2, -4)
-1 3(-1) + 2 = -1 (-1, -1)
0 3(0) + 2 = 2 (0, 2)
1 3(1) + 2 = 5 (1, 5)
2 3(2) + 2 = 8 (2, 8)
3.1 How will ensure that cooperative learning In Mathematics class take place
3.2 use polya's four steps to solve the following tutorial showing all the steps:
Explain each step using the given question.
3.2.1 The sum of three consecutive numbers is equal to 39. Determine the three numbers
3.2.2 A father is five times as old as his daughter. In five years' time he will be three times as old as his daughter. Find both the ages now.
Answers
Step-by-step explanation:
The father is presently 25 years old.
And his daughter is presently 5 years old.
Therefore, the father is 5 times older than his so. Currently.
In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.
Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of pi
A) 64 pi
B)192 pi
C) 256 pi
D)768 pi
Answers
Answer:
B) 192 pi
Step-by-step explanation:
The volume of a cylinder is found from the formula ...
V = πr²h
where the radius is r and the height is h. The radius is half the diameter.
__
V = π(8/2)²(12) = 192π . . . . . . using the given values
y
is directly proportional to
x
2
.
If
y
=
112
when
x
=
4
find
y
when
x
=
9
Answers
Answer:
252
Step-by-step explanation:
Hope this helped you, and have a good day! (Please tell me if the answer is incorrect and I will try and correct it as soon as possible)
Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.
On a graph, the graph increases, remains constant, and then decreases.
Is the number of gallons of water in the bathtub a function of time?
Yes because each t value is paired with exactly one number of gallons.
Yes because the number of gallons is bounded between y = 0 and y = 36.
No because each number of gallons is paired with more than one t value.
No because from t = 5 to t = 20 the number of gallons of water is constant.
Answers
Answer:
A, Yes because each t value is paired with exactly one number of gallons.
Step-by-step explanation:
Simply perform the vertical line test. On a graph, draw a vertical line, and if the line crosses the graph exactly once, it is a function. See the diagram below. Hope it helps, have a fantastic day.
Answer:
a
Step-by-step explanation:
because i am built diffrent thats why
Will mark brainliest to anyone who can answer
Answers
4 cm
Explanation:
Radius = 4
Using the formula: (This is just for radius):
(8π-12√³)
Use the radius to work out circumference:
C==2 π r==2··π··4=≈25.13 cm
Divide the circumference by 6 because the AB curve is 1/6 of the whole circumference:
25.13 divided by 6 = 4.188333333333333
(Corrected to 1 sig fig) 4 cm
Side note:
It is not 4 (with the pi sign at the end),
this is because the numbers do not go on infinitely.
Hope this helps!
Please give Brainliest!
I’m just stuck
Please help
Answers
Answer:
y = 5x
Step-by-step explanation:
y = 5x
Where, y = amount of money library receives and x = number of books sold.
So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)
13. Represent Write three different fractions
that each match the shaded part of the
drawing.
Answers
Answers:
8/12
2/3
4/6
============================================================
Explanation:
There are 8 pizza slices shaded out of 12 total.
One fraction we can form is 8/12
Divide each part by the GCF 4
8/4 = 212/4 = 3This means 8/12 is the same as 2/3
Check out the image below to see how 8/12 and 2/3 are the same. Refer to figure 1. We have 2 slices shaded out of 3 total.
Then check out figure 2 to see how 2/3 and 4/6 are the same. By extension, this means that 8/12 and 4/6 are the same. Figure 2 shows 4 shaded slices out of 6 total.
There are infinitely many ways we can split up this pie, so there are infinitely many fractions to write as the answers.
what is "the power" of something (mathematically).
Answers
The power of a number says how many times to use the number in a multiplication.
--
For instance 6 to the power of 2
This means
6²Which is also equal to 36
Please solve (18 points)
Answers
Answer:
Ꮎ = 72.123°
Step-by-step explanation:
AC² = BC²+ AB² - 2BC AB x cos (ABC) 4.52 4.12 +3.52 - 2 x 4.1 x 3.5 x cos (8) =
The table below shows the distribution of votes for Student Government President elections.
1.What is the probability that a junior voted for Dao?
2.Voted for Wolber
3.Votes for Keegan and was from the sophomore class.
Answers
Answer:
1 out of 3 people vote for junior
Step-by-step explanation:
is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?
Answers
Answer:
Yes
Step-by-step explanation:
Use synthetic division
2 | 1 -8 14 -4
____2 -12_4__
1 -6 2 | 0
Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.
How to do this...(⊙o⊙)?
Answers
a = 60°
b = 20°
Step-by-step explanation:
Adjacent angles in a ||gram are supplementary . So,
2a + a = 180°
3a = 180°
a = 60°
Similarly,
2a + 3b = 180°
2(60) + 3b = 180°
120 + 3b = 180°
3b = 60°
b = 20°
______
Hope it helps ⚜
Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 20
What is the measure of the new angle?
Answers
Answer:
20°
Step-by-step explanation:
Solution,
Here,
→(x+20°)+160°=180°[Sum of a straight line is 180°]
→x=180°-180°
→x=0°
Again,
→x+20°
→0°+20°
→20°
Answer:
I have the same problem as you and it told me that it’s 40
Step-by-step explanation:
PLEASE HELP NEEDED ASAP
explain your answer clearly, questions and image below
1. What is the volume of the first cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Answers
Answer:
1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³
2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³
3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³
4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³
5. 15, 625 - 14,167 = 1,458 more m³
—-
Have a nice day!!
Answer:
1. Volume of a cube = l³
therefore: Volume of first cube = 25³
= 15625
2. Same formula as number 1. = l³
= 24³
= 13824
3. 7³ = 343
4. Combined volume Multiplication = 15625 × 13824
or addition = 15625 + 13824
if according to question
5. Don't get paraphrase
What is the 4th term of the linear sequence below? 6 , 13 , 20 , 27 , 34 ,
Answers
Answer: 27
Step-by-step explanation:
6 is the 1st
13 is the 2nd
20 is the 3rd
27 is the 4th
34 is the 5th
HELP for (ii)…..how do we find a?
Answers
By using the information given on the graph, we can see that a = 3.
How to find the value of a?
Here we have an exponential of the form:
[tex]y = p*a^x[/tex]
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
[tex]4 = p*a^0\\\\36 = p*a^2[/tex]
From the first equation we get that p = 4, replacing that on the second one we get:
[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]
So we conclude that a = 3.
If you want to learn more about exponential equations:
https://brainly.com/question/11832081
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Jesse earns 9 each time he washes a car. He wants to buy a game that costs 30 How many cars does, Jesse need to wash to earn enough money to buy the game?
Answers
Answer:
Jesse would need to wash four cars.
Step-by-step explanation:
9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.
help us please we need your help
Answers
Answer:
See below ~
Step-by-step explanation:
3. coordinate proof
4. exterior
5. included angle
Answer:
coordinate proof
exterior
included angle
Help me please , you can ignore question number 1 !!!
Answers
Answer:
See below ~
Step-by-step explanation:
Q2
Lobster = 3 veg choices x 3 beverages9 outcomesQ3
Chicken and chopsuey = 3 beverages3 outcomesQ4
4 main dishes x 3 veg choices x 4 beverages48 menusNeed Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: Check your work. Verify your solution and show your work.
Part C: If the two equations are graphed, what does your solution mean?
Answers
Put y 's value in second equation
2x-5=-6x+32x+6x=3+58x=8x=1And
y=2(1)-5=-3Solution is (1,-3)
Verification
-3=2(1)-5-3=2-5-3=-3Verified
What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in the simplest form.
ft²
Answers
Answer:
A≈32[tex]\frac{3}{10}[/tex]ft²
--
To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)
Then plug in your variebles
A=2( 1.33*1.5+5+1.5+5+1.33)
This comes out to be A≈32 [tex]\frac{3}{10}[/tex]
Answer:
32 1/3 ft² for K12
4>-x-5 how do I solve for x? With the greater sign
Answers
Answer:
x>-9
Step-by-step explanation:
1. bring x over to the other side to make it a positive (4+x>-5)
2. bring 4 to the other side (x>-5-4)
3. simplify (x>-9)
If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2
A. The parabola will be wider.
B. The parabola will be translated up.
C. The parabola will be narrower
D. The parabola will be translated down
Answers
Answer:
Step-by-step explanation
the answer is A.
If an alcohol and an organic acid are chemically combined, the resulting compound is called a (an)
a. ester.
b. halogen derivative.
C. lipid.
d. aromatic hydrocarbon.
Answers
Solve the following triangle.
Dont answer if you dont know the answer or report answer it wrong get an report
Answers
Step-by-step explanation:
2 things to remember :
1. the sum of all angles in a triangle is always 180°.
2. the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
triangle 1 :
angle B = 180 - 62.2 - 43.8 = 74°.
a/sin(62.2) = 15.8/sin(74)
a = 15.8 × sin(62.2)/sin(74) = 14.53961961... in
c/sin(43.8) = 15.8/sin(74)
c = 15.8 × sin(43.8)/sin(74) = 11.37657122... in
triangle 2 :
14.9/sin(49) = 11.6/sin(A)
sin(A) = 11.6 × sin(49)/14.9 = 0.587559136...
angle A = 35.98398776...° ≈ 36°
angle C = 180 - 49 - 35.98398776... = 95.01601224...° ≈
≈ 95°
c/sin(95) = 14.9/sin(49)
c = 14.9 × sin(95)/sin(49) = 19.66708505...
newly weds triangle :
let's call the 2 sides a and b (25 m and 30 m).
the angle between them is 60°.
here we should use the extended Pythagoras for general triangles :
c² = a² + b² - 2×a×b×cos(C)
with c being the side opposite to the angle C.
so, we have in our case
c² = 25² + 30² - 2×25×30×cos(60) = 625 + 900 - 750 =
= 775
c = sqrt(775) = sqrt(25×31) = 5×sqrt(31) = 27.83882181... m
the area of the triangle we get via Heron's formula :
s = (a+b+c)/2 = (25+30+c)/2 = 41.41941091...
area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(s(s-25)(s-30)(s-c)) =
= sqrt(105,468.75) = 324.7595264... m²
with Php 2000 per m² this would cost
324.7595264... × 2000 = Php 649,519.0528...