given that x=2,find the value of y and z for the simultaneous equation x+y-z=1​

Answer and Step-by-step explanation:

First, solve for y in the second equation because that equation would be easier to solve than the first one for y.

y = 10 - 3x.

Now, plug this into the y of the first equation, and solve for x.

4x + 4(10 - 3x) = 4

Distribute the 4.

4x + 40 - 12x = 4

Combine 4x and -12x,  Subtract 4 from both sides, then add -8x to both sides.

-8x + 40 = 4

36 = 8x

Divide both sides by 8.

[tex]\frac{9}{2}[/tex] (or 4.5) = x

Now, plug this in for x in the second equation to solve for y.

3 × 4.5 + y = 10

13.5 + y = 10

Subtract 13.5 from both sides.

y = -3.5

[tex]\frac{9}{2}[/tex] (or 4.5) = x

y = -3.5

#teamtrees #PAW (Plant And Water)

Answer: y = -1/2x -4

Step-by-step explanation:

To solve for y, subtract 2x on both sides

2x-2x + 4y = -16 - 2x

Simplify

4y = -16 - 2x

Divide by 4 on both sides to get y by itself

4y/4 = -16 - 2x/4

Simplify

y = -4 - 1/2x

Switch the right-side terms to write them in slope-intercept form

y = -1/2x -4

Answer:

A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.

Step-by-step explanation:

hope that helps!! :)

Answer:

The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{6}{8} \times 40 = 30 \\ jane \: got \: 30 \: questions \: correctly \\ that \: means \: that \: jim \: got \: 30questions \: wrong \\ therefore \: the \: questions \: he \: got \: right \: is \: 40 - 30 = 10[/tex]

Answer:

33 sq cm.

Step-by-step explanation:

Let's calculate each shape serperately,

--------

For the square, the area is 25 since

5 × 5 = 25

-------

For the rectangle, the area is 8:

4 × 2 = 8

-----

Add these together to get 33 sq cm

Have a good day :)

x     y   is the two-step function table of the given linear equation

0    -4

1     0

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

given an equation y  = 4x -4

Use the slope-intercept form to find the slope and y-intercept.

y = mx + c

m =4

c = -4

Slope = 4

The slope of the line is the value of m, and the y-intercept is the value of b.

y-intercept  : (0, -4)

x-intercept where y = 0 : (1, 0)

Therefore, the table of the two-step functions is Written below.

x     y  

0    -4

1     0

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Answer:

Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.

Missing: [tex ‎0.7x-2.1\ ‎\textless ‎\atop ‎\textgreater ‎tex]

Answer: C 41 degrees

Step-by-step explanation:

The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:

4b = 3l

We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".

s = b + 1 = l - 1

We can substitute the first equation into the second equation to get:

s = b + 1 = (3l/4) - 1

Now we can solve for s:

s = b + 1m = (3l/4) - 1m

s = (3l/4) - 1m + 1m = (3l/4) = l - 1m

Now we can substitute this back into the first equation:

4b = 3(l - 1m)

We can now solve for b:

4b = 3l - 3m

b = (3l/4) - (3m/4)

Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.

We can find the value of length and breadth by substituting the value of s in the first equation

4s = 3l

s = 3l/4

So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

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The graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4).

A point in polar form is described by its magnitude and angle in standard position. When magnitude is negative it means that its angle is +π radians than its equivalent with positive magnitude.

Then, we can determine the angle of the resultant point by means of the following expression:

θ⁻ = θ⁺ + π   (1)

Where:

If we know that θ⁺ = -π/4 and r = 3, then the angle of the point in standard position is:

θ⁻ = θ⁺ + π

θ⁻ = -π/4 + π

θ⁻ = 3 · π/4

Hence, the graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4). [tex]\blacksquare[/tex]

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Answer:

C

Step-by-step explanation:

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

Answer:

1. 99/104

2. 4/3

3. 6/5

4. 52/25

5. 57/58

6. 33/100

7. 1/2

8. 8/5

9. 4

10. 4/3

hope this helps any

Answer:

4.5

Step-by-step explanation:

Put numbers in order, 1,3,3,4,5,8,9,12

Divide by 2 because there are 2 numbers

Because 4.5 is in the middle of 4 and 5 that is your median

The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.

Simpson's paradox

it is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined.

This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.

It concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.

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The mean of negatively skewed data is smaller than the median. If the data are displayed symmetrically, the distribution is not skewed regardless of tail length or thickness. So, option d. is correct.

A skew curve is a type of statistical distribution in which the data are unevenly distributed. This is often called an asymmetric distribution, meaning that the two halves of the curve look different. A skewed curve can be either positively or negatively skewed, depending on the direction in which the data points are shifted. Positively skewed curves tend to have long tails to the right, while negatively skewed curves tend to have long tails to the left. This type of distribution is common in real-world data such as income and wealth distributions.

A negatively skewed curve is indicated by the negative tail of the chart. This means that the data points are likely to be below average. Therefore, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic mean of all data points, the mode is the most common value, and the median is the midpoint of the data points.

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Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Answer:

it's graph A sorry if I'm wrong:)))

on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

equation given is 3(x+2)=7x-48

value of x

[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]

value of x from the given equation comes out to be 13.5

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The coordinates of K = (0, -7.5) and the scale factor is 8/5.

Consider the following figure of triangles.

△BOK and ΔPOS.

Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)

i.e., OP / OB = OS / OK = PS/BK

Consider an equation,

OP / OB = OS / OK

From the diagram:

OP = 8, OB = 5, OS = 12

Substitute these values in above equation.

8/5 = 12/OK

OK = 60/8

OK = 7.5

We can observe that OK is the distance of point K from origin 'O'

So, the coordinates of K would be (0, -7.5)

And the scale factor is 8/5.

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Answer:

7 yes

4 yes

13 no

9 no

Step-by-step explanation:

For each one, just substitute the number in as w in the equation they gave you and then check if it is less than 52.

7 yes because 52 > 43 + 7.

4 yes because 52 > 43 + 4.

13 no because 52 < 43 + 13.

9 no because 52 = 43 + 9 and 52 isn't less than 52.

Answer:

yes

yes

no

no

Step-by-step explanation:

NA (There is not enough information given to determine the value of MZ)

In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.

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Answer:

thank u for points

Answer:

okay sure lol

Step-by-step explanation:

Answer:

[tex]a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3[/tex]

Step-by-step explanation:

[tex]y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}[/tex]

[tex]Therefore, y = k \times \frac{1}{x^2}[/tex]

Given y = 48, x = 1/2. We will find k.

                 [tex]y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12[/tex]

Find x.

[tex]y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2[/tex]

Answer:

5 in. the answer lies in the Pythagorean theorem

Answer:

5

Step-by-step explanation:

using Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are sides

c is the hypotenuse

in this case we need a side:

[tex]a^2+12^2=13^2\\a^2 + 144 = 169\\[/tex]

subtract 144 from 169

[tex]a^2=25\\\sqrt{a} ^{2} = \sqrt{25}[/tex]

so a = 5

THE ANSWER IS 5 :)

The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.

Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.

Given:

For Corresponding Angle

The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.

Form Corresponding Side

If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,

i.e., A : a = B : b = C : c.

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The formula for vector direction is: Direction = arctan (y/x) , Where x is the x component of the vector and y is the y component of the vector.

1. Find the x and y components of the vector

2. Divide the y component by the x component

3. Calculate the arctan (inverse tangent) of the result

4. The result is the direction of the vector in radians (or degrees if you prefer).

If you want to convert the result from radians to degrees, you can use the following formula:

(in degrees) = arctan (y/x) * (180/π)

Where π (pi) is approximately equal to 3.14.

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Answer:

Mark angles C and F as congruent.

Step-by-step explanation:

Angle-Angle-Side (AAS) Congruence Theorem

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

The given triangles have one corresponding angle and one corresponding side marked as congruent.  

To satisfy AAS congruency, another pair of corresponding angles need to be marked as congruent.  

As an included side is the side between two angles, we cannot mark angles A and P as congruent, as this would not satisfy AAS congruency since sides AB and PD would be the included sides.  

Therefore, to make triangle ABC congruent to triangle PDF by AAS, mark angles C and F as congruent.