If 9x+2y^2−3z^2=132 and 9y−2y^2+3z^2=867, then x+y =
Answers
Answer:
\(x + y = \frac{1000}{9}\)
Step-by-step explanation:
Step 1: Identify the approach:
With this problem, the general solution is to try manipulate given data and transform data into a new form, in which, the desired value \((x + y)\) is on the left side and all of other components which do not contain \(x\) or \(y\) are on the right side.
Step 2: Analyze:
\(9x + 2y^{2} - 3z^{2} = 132\\9y - 2y^{2} + 3z^{2} = 867\)
Realize that in both equations, the \(2y^{2}\) and \(3z^{2}\) are in form of different signs. Then adding up corresponding sides of both equation can help eliminate these undesired components.
Step 3: Perform manipulation:
\(9x + 2y^{2} - 3z^{2} + 9y - 2y^{2} - 3z^{2} = 132 + 867\)
Rearrange:
\((9x + 9y) + (2y^{2} - 2y^{2}) +(3z^{2} - 3z^{2}) = 132 + 867\)
Simplify:
\(9(x + y) + 0 + 0 = 1000\)
Simplify:
\(x + y = \frac{1000}{9}\)
Hope this helps!
:)
Related Questions
Does anyone understand this?
Answers
Answer:
\( x = - 1\)
\(x + 1 = 0\)
\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)
So m = 2 and n = 1, meaning m + n = 3.
Please help me with this problem
Answers
Answer:
Step-by-step explanation:
a = 10/2 = 5
b = \(5\sqrt{3}\)
For the Special Triangles
pls help having a hard time understanding I just need the answers
Answers
Answer:
B
Step-by-step explanation:
Basically, you can rule out all of the other answers by the following criteria:
A is wrong because any y= equation without an x is just a straight horizontal line
C is wrong because any x= equation is just a vertical line
D is wrong because both lines shown are positive lines, and both equations in answer D are negative
Therefore by process of elimination, the only answer that makes sense is B
The data below represents the number of practices each member of Nidhi's ski team attended. 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38 25,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38 Which box plot correctly summarizes the data? Choose 1 answer:
Answers
Answer/Step-by-step Explanation:
=>Note: The data set is repeated in this question. 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38, should be the data we're to find a box plot that summarises it. Options showing possible box plots are also omitted. However, we'd construct one that summarises the data.
Given the data set 25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38, which are ordered already, we need to derive the min, max, median, Q1 and Q3 from the given data set. These are all the values needed to construct a box plot to summarize the data.
Thus:
Min = 25;
Max = 38
Median is the middle value of the data set and it lies between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set = 29
Q3 would be middle data point of the top half of the data set = 35
(See the diagram 1 for illustration)
Having derived these values, we can now construct a box plot to summarize the given data.
(See diagram 2 for the box plot constructed that summarizes the data given).
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
Answer:
B
Step-by-step explanation:
Because 25, 28, 29, 29, 30, 34, 35, 35, 37, 38
The Median is 30 and 34 we add 30 and 34 which is 64 and 64 divided by 2 is 32 and B is the graph with 32 A and B dosen´t even have 32 so
Thus, are answer is B or 32 u like to call it
1.) 154 × 654 =
2.) 578 × 493 =
3.) 300 × 542 =
4.) 387 × 539 =
5.) 396 × 648 =
Please answer
Answers
2. 87,954
3. 162,600
4. 208,593
5. 256,608
2.) 284954
3.) 162600
4.) 208593
5.) 256608
:)
How many times smaller is 5 x 10^-10 than 8.5 x 10^-4
Answers
This shows that 5 x 10^-10 is 1.7 * 10^6 times smaller than 8.5 x 10^-4
Scientific notationsRatios are written as fractions. In order to determine how many times smaller, we will take the ratio of the scientific notation;
Ratio = 8.5 x 10^-4/ 5 x 10^-10
Ratio = 8.5/5 * 10^-4/10^-10
Ratio = 1.7 * 10^-4-(-10)
Ratio = 1.7 * 10^6
This shows that 5 x 10^-10 is 1.7 * 10^6 times smaller than 8.5 x 10^-4
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Human Resource Consulting (HRC) surveyed a random sample of 68 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is $499 with a standard deviation of $80.
What is the chance HRC finds a sample mean between $477 and $527?
Calculate the likelihood that the sample mean is between $492 and $512.
Answers
part a.
There is a 49.1% chance that HRC finds a sample mean between $477 and $527.
part b.
There is a 20.9% chance that the sample mean falls between $492 and $512.
How do we calculate?The standard error (SE) of the sample mean.
SE = σ / √(n)
σ = $80 and n = 68.
SE = 80 / √(68)
z1 = (X1 - μ) / SE
z2 = (X2 - μ) / SE
for first scenario:
X1 = $477, X2 = $527, and μ = $499.
z1 = (477 - 499) / SE
z2 = (527 - 499) / SE
For the range $477 to $527:
z1 = (477 - 499) / SE
z2 = (527 - 499) / SE
z1 = -0.275
z2 = 0.35
Probability 1 = 0.4909 = 49.1%
We have a 49.1% chance that HRC finds a sample mean between $477 and $527.
For the second scenario
X1 = $492, X2 = $512, and μ = $499.
z1 = (492 - 499) / Standard Error
z2 = (512 - 499) / SE
We have a 20.9% chance that the sample mean falls between $492 and $512.
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Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____
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Answer:
48
Step-by-step explanation:
Count by 6
3) What type of correlation would temperature
and ice cubes have?
Answers
What do the following two equations represent?
• x + 3y = 5
• 4x + 12y = 20
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
Answers
Answer:
they represent the same line
Step-by-step explanation:
i went to desmos graphing calculator and put x+3y=5 in the first spot then i put 4x+12y=20 below that and it showed me what the lines looked like
Both the equation represent the same line
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x + 3y = 5
4x + 12y = 20
Now , the equation 4x + 12y = 20 can be simplified as
4x + 12y = 20
Divide by 4 on both sides ,
x + 3y = 5
Therefore , x + 3y = 5 is the same equation
Hence , both the equation represent the same line
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Find the charge Q that requires 96J of energy to be moved through a potential difference of 16V ?
Answers
6 Coulombs are needed to produce the 96J of energy.
Describe energy.Physics defines energy as the quantity of work or capability that may be applied to a thing to make it functional. Additionally, it refers to the capacity to exert force on an object as well as energy that is neither generated nor destroyed.
96 J of energy and a 16 V potential difference
Using the following formula, the work or energy is:
Work completed equals Charge x Potential Difference.
Charge = thus work completed/potential difference
Charge equals 96/16, or 6 Coulombs.
Therefore, 6 Coulombs of charged are needed to produce 96J of energy.
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PLEASE QUICKKKK!! Most cars can travel around 20 miles per gallon of gas that is in their tank. Write a rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g. (10 points)
Answers
The rule that relates the total distance is d =20g
How to detemrine the rule that relates the total distanceFrom the question, we have the following parameters that can be used in our computation:
Most cars can travel around 20 miles per gallon of gas that is in their tank
This means that
Rate = 20 miles per gallon
Given that
Distance = d
Gas = g
We have
d = 20 * g
Evaluate
d =20g
Hence, the rule is d =20g
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5x+8=4x+15 ayuda por favor
Answers
Answer:
x=7
Step-by-step explanation:
herp derp herp derp herp derp
Which algebraic expression is equivalent to this expression?
3(2x-8)-11x
Answers
Answer: 6x-24-11x
Step-by-step explanation:
1. 6x-24-11x
2. 3 x 2x=6x
3. 3 x 8 =24
Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
Answers
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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fill in the following table based on this function. show your work.
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The table can be complete based on the function given by substituting as:
When s = 0, M(s) = -3
When s = 4, M(s) = 7
When s = 9, M(s) = 12
Given a function,
M(s) = 5√s - 3
Substitute each of the value of s to find the corresponding value of M(s).
When s = 0,
M(s) = 5√0 - 3 = 0 - 3 = -3
When s = 4,
M(s) = 5√4 - 3 = 10 - 3 = 7
When s = 9,
M(s) = 5√9 - 3 = 15 - 3 = 12
Hence the blank spaces are -3, 7 and 12.
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3r+2b=4/X solve for r
Answers
1 in 103 shoppers bought a soup. What is the percentage?
Answers
Answer:
0.970873786408%
Step-by-step explanation:
calculator
I need help with this please
Answers
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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I really need to know how to solve this type of problems
Answers
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies. How many more bags of cookies could they make?
Write an inequality describing the situation and solve. Which inequality below is correct?
Answers
They may bake 20 additional bags of cookies. The problem is represented by the inequality x < 80.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies.
Since each cookie pack can hold 4 cookies
Thus, 100 cookies will require = 100/4 packs
100 cookies will required = 25 packs
Since They have already bagged 20 cookies.
Thus,
The total pack they used = 20/4
The total pack they used = 5
Inequality:
let "x" be the number of cookies they can make
80 > x
Therefore, 20 more bags of cookies they could make. the inequality that represents the situation is x< 80.
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4.
(03.01 MC)
Which expression is equivalent to 56 + 21? (1 point)
7(49 + 14)
8(7 + 21)
8(48 + 13)
7(8 + 3)
Answers
Infinitely many solutions
-3x + y = 7
2x
-
Y
Y =
=
6x
3x
-
One solution
-
4y = -8
-4x
5
-4x + 1
-
y
= 4
2y = 8
0
No solution
Answers
Answer:
x=0
Step-by-step explanation:
what is 39/64 x 8/13
Answers
Answer:
0.375
Step-by-step explanation:
Let $\triangle ABC$ be a right triangle, and let $H$ be the point on side $\overline{AB}$ so that $\overline{CH} \perp \overline{AB}.$
[asy]
// Coordinates for 3-4-5 triangle
pair A = (5, 0);
pair B = (0, 0);
pair C = (1.8, 2.4);
pair H = foot(C, A, B);
draw(A--B--C--cycle);
draw(rightanglemark(B, C, A));
draw(C--H);
draw(rightanglemark(C,H,A));
label("$A$", A, E);
label("$B$", B, W);
label("$C$", C, N);
label("$H$", H, S);
label("$x$", midpoint(B--H), S);
label("$y$", midpoint(A--H), S);
label("$h$", midpoint(C--H), E);
label("$a$", midpoint(B--C), NW);
label("$b$", midpoint(A--C), NE);
[/asy]
Prove that
\[(x + h)^2 + (y + h)^2 = (a + b)^2.\]
Answers
The Proof of ( x + h)² +( y + h)² = (a + b)² is shown below.
What is Similarity?In geometry, two similar forms are those whose dimensions are identical or have a same ratio but the size or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares. The scale factor is another name for the common ratio. Additionally, the equivalent angles have the same magnitude.
Given:
BHC and BCA are similar
HC / BC = CA / BA
so, h / a = b / ( x + y) ........... (1)
Working with your expansion
x² + h² = a² and
y² + h² = b²
So, subtracting out the equal parts we are left with
2xh + 2yh = 2ab ..........(3) divide through by 2
xh + yh = ab
h( x + y) = ab which we can rearrange as
h / a = b / ( x+ y)..............(2)
Since this is equal to (1) and it's just a rearrangement of (3) adding all the other equal parts of the expansion shows that
(x² + h²) + (y² + h²) + ( 2xh + 2yh) = a²+ b²+ 2ab
( x² + 2xh + h²) + ( y² + 2yh + h²) = ( a + b)²
( x + h)² + ( y + h)² = (a + b)²
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what move turns the first equation into the secon equation-15x - 20 =5(2x + 9)5(-3x - 4) = 5(2x + 9)
Answers
The greatest common factor between 15 and 20 is 5. Then,
-15x - 20 =5(2x + 9)
can be expressed as:
5(-3)x - 5(4) = 5(2x + 9)
5(-3x - 4) = 5(2x + 9)
What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answers
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
Help me pls thanks so much
Answers
Answer:
A) 5 in
B) 3.93 in
C) 11.8 in
Step-by-step explanation:
A) 10π/π = 10in diameter
10/2 = 5 in radius
B) 10π/8 = 3.93 in
C) 3.93 x 3 = 11.8 in
pls help
What is 13 x 4
Answers
Answer:
52
Step-by-step explanation: