The graph shows a system of equations:
Y= -x - 2 y = 2x - 5 what is the solution (-1 , 3) (1 , -3) (1 , 3 ) ( -1, -3) vi

[tex]\large\underline{\sf{Solution-}}[/tex]

#1

Solving by submitting method:

[tex]\sf \leadsto 5x - 4y = 9 \: \: - - - (i)[/tex]

[tex]\sf \leadsto x - 2y = -3 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \leadsto 5x - 4y = 9[/tex]

[tex]\sf \leadsto 5x = 9 + 4y[/tex]

[tex]\sf\leadsto x = \frac{9+4y}{5}\\[/tex]

Now, we can find the original value of y from Eqⁿ (ii).

[tex]\sf \leadsto x - 2y = -3[/tex]

[tex]\sf \leadsto \bigg(\frac{9+4y}{5}\bigg) - 2y = -3\\[/tex]

[tex]\sf \leadsto \frac{9+4y-10y}{5} = -3\\[/tex]

[tex]\sf \leadsto \frac{9-6y}{5}= -3\\[/tex]

[tex]\sf \leadsto 9-6y = -3(5)[/tex]

[tex]\sf \leadsto 9 -6y = - 15[/tex]

[tex]\sf \leadsto -6y = - 15 - 9[/tex]

[tex]\sf \leadsto -6y = -6[/tex]

[tex]\sf \leadsto y = \frac{\cancel-6}{\cancel-6}\\ [/tex]

[tex]\sf \leadsto y = \dfrac{ 6}{ 6} \\[/tex]

[tex]\sf \leadsto y = 1[/tex]

Now, we can find the original value of x , from Eqⁿ (I)

[tex]\sf \leadsto 5x-4y = 9[/tex]

[tex]\sf \leadsto 5x - 4(1) = 9[/tex]

[tex]\sf \leadsto 5x - 1 = 9[/tex]

[tex]\sf \leadsto 5x = 9+1[/tex]

[tex]\sf \leadsto 5x = 10[/tex]

[tex]\sf \leadsto x = \frac{10}{5}\\[/tex]

[tex]\sf \leadsto x = 5[/tex]

Therefore, the values of x and y are 5 and 1 respectively.

#2

Solving by Eliminating method:

[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]

[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]

[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]

[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]

Therefore, the pair of equations has no solution.

Hope this helps!!

Answer:

so we're dealing with negative numbers here so after learning negative numbers you have to add negative15 to -182 Wich is negative 197

Answer:

The answer is 570 feet.

Step-by-step explanation:

First, the bird is 520 feet HIGH.

The diver is 50 feet BELOW sea level, which is also -50.

To find the difference, you would SUBTRACT right?

So 520 - -50 OR 520 + 50 (This is because two negatives make a positive, and you are also subtracting negatives, which in turn means adding).

520 + 50 = 570 - HOPE THIS HELPED!

The graphical relationship of the demand and price of brie are given in the two graphs

Reason:

The given parameters are;

The graphs gives the utility-maximizing combinations of bread and brie chosen by Hayden

The price of the loaf = $1.00

The prices of the brie are $4.00 and $6.00 per wheel

Given that as the price increases from $4.00 to $6.00, the quantity

demanded increases, we have;

When the price is $4.00, the quantity of brie demanded 23.84 brie wheels,

and the quantity of bread demanded is 15.9 bread loaves

When the price increases to $6.00, the quantity of brie demanded

decreases to 7.49 brie wheels, while the quantity of bread demanded

increases to 25.2 loaves

Therefore; we have;

At point A, the price is $4.00 and the quantity demanded is 23.84

At point B, the price is $6.00 and the quantity demanded is 7.49

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Answer:

yes bti dsnin s

Step-by-step explanation:

Using the uniform distribution, we have that:

a) The graph is sketched at the end of this answer.

b) 0.33 = 33% probability of generating a number between 0.01 and 0.34.

c) 0.05 = 5% probability of generating a number greater than 0.95.

An uniform distribution has two bounds, a and b.  

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, uniformly distributed between 0 and 1, thus [tex]a = 0, b = 1[/tex].

Item b:

[tex]P(0.01 \leq X \leq 0.34) = \frac{0.34 - 0.01}{1 - 0} = 0.33[/tex]

0.33 = 33% probability of generating a number between 0.01 and 0.34.

Item c:

[tex]P(X > 0.95) = \frac{1 - 0.95}{1 - 0} = 0.05[/tex]

0.05 = 5% probability of generating a number greater than 0.95.

A similar problem is given at https://brainly.com/question/24746230

Goodluck

Step-by-step explanation:

4+​(−​7)  is​ 7 units from​ 4, in the​ negative direction​ (that is, to the left of 4)

4 + (-7) is 7 (seven) units from 4, in the negative Direction.

The result of 4 + (-7) is -3. It represents a movement of 7 units in the negative direction from the starting point of 4.

In this context, "units" refer to a number-line, where positive values are to the right and negative values are to the left. Starting at 4 and moving 7 units to the left brings you to -3.

This calculation and explanation describes the concept of adding a negative value, which is equivalent to subtracting a positive value, resulting in a displacement in the specified direction on the number line.

Learn more about Direction here

https://brainly.com/question/32928988

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The given question is incomplete, the complete question is

4 + (-7) is _____ units from 4, in the _____ Direction. What will the answer be?

Answer:

2.222

Step-by-step explanation:

Hope this helps :)  

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And have an amazing day <3

Answer:

2 2/9

Step-by-step explanation:

so if we want to be able to substract, we're gonna multiply the 1/3 times three so the result come out to 3/9 and now we are able to substract, so 6 3/9 - 4 1/9 is equal to 2 2/9

Answer:

Pencil on y: 5.5 then 3 down and 1 to the right. (You can trace a line with 2 points, but can continue the pattern: 3 down, 1 to the right)

Step-by-step explanation:

y- intercept = 1 - (3/2)(-3)

y-intercept = 1 + 9/2 = 11/2 = 5.5

y = 3/2x + 11/2

Answer:

the value of a = 7..............

Answer:

[tex]h(x) = 3x + 8 \\ h(a) =3 a + 8 [/tex]

But, it is given that

[tex]h(a) = 29[/tex]

Therefore,

[tex]3a + 8 =29 \\ 3a = 29 - 8 \\ 3a = 21 \\ a = \frac{21}{3} \\ \boxed{ a = 7}[/tex]

Hence, the value of a is 7

Answer:

(258÷3) - 10 = 76.

Step-by-step explanation:

You need to use this equation to find this answer even though I already wrote the answer there for you.

Step-by-step explanation:

think it is 1.0000100011000 x10 rise the power negative 3

Transformation involves changing the location of a shape

The image of P after the transformation is: (-5,-2)

The vertices are given as:

[tex]\mathbf{P = (-8,6)}[/tex]

[tex]\mathbf{Q = (1,-3)}[/tex]

[tex]\mathbf{R = (-6,-3)}[/tex]

The rule of reflection across line y = 2 is:

[tex]\mathbf{(x,y) \to (x,4-y)}[/tex]

So, the image of P, after the reflection is:

[tex]\mathbf{P' = (-8,4-6)}[/tex]

[tex]\mathbf{P' = (-8,-2)}[/tex]

The rule of translation 3 units right is:

[tex]\mathbf{(x,y) \to (x + 3,y)}[/tex]

So, we have:

[tex]\mathbf{P" = (-8 + 3,-2)}[/tex]

[tex]\mathbf{P" = (-5,-2)}[/tex]

Hence, the image of P after the transformation is: (-5,-2)

Read more about transformations at:

https://brainly.com/question/13801312

Answer:

f(x)=4x2−2x+8,

or, f(2)=4*2*2-2*2+8

or,f(2)=16-4+8

or,f(2)=20....

f(2)=20

Answer:

1 1/45

Step-by-step explanation:

the answer would be c because the angles are equal to each other

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The value of given expression is 2

Solution is in attachment ~

Answer:60 miles.

Step-by-step explanation:

m=number of miles the bicycle can travel in 4 hours.

Set up a ratio of hours over miles.

2/30=4/m. Multiply both sides by m. (2m)/30=4. Multiply both sides by 30. 2m=120. M=60. You could also just realize that you are multiplying the numerator by 2 of the fraction 2/30 to get 4/m, so you would also have to multiply the denominator by 2 so that both of the fractions are equivalent. So then you’d just multiply the bottom by 2 to get the miles the bike travels in 4 hours.

Answer:

-28

Step-by-step explanation:

Answer:

the answer is -28

Step-by-step explanation:

-8 x 7 / 1 x 2

= 56 / 2

Answer:

Bro it is simple,see when the 2 numbers are multiplying in 1st number decimal is before 2 digits and in 2nd number decimal is before 1 digit and in product decimal is before 3 digits so to place the decimal you need to + the digits afer decimal of numbers eg. in 0.43 there are 2 digits afer decimal and in 0.2 there is 1 digit after decimal and in answer there are 3 digits after decimal

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer: SEE BELOW

Step-by-step explanation:

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

0.43......... 2 decimal place(s) Add your decimal places = 3

0.2......... 1 decimal place(s)

0.086 Place decimal 3 decimal places in answer like so.

hope this helps you! Smile ; )

Answer:

 2x^2 + 8x + 3

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

159.29-159.29(5/100)=151. 3255

Answer:

where is the graph?........

Hello there I think the measure of EBC is 58 degrees.

That's because angles EBC and DBE are complementary. it means that they add up to 90 degrees.

We are given that

DBE=32 degrees.

And we know that angles EBC and DBE add up to 90 degrees.

So we take 90 and subtract the measure of angle DBE (32 degrees)

90-32=58

Hope this helps!

Answer:

90 degrees

Step-by-step explanation:

please say thanks

Answer:

The sum is about 22

Step-by-step explanation:

When you round the values at the ones place, you get:

7 + 6 + 9 = 22

Answer:22

Step-by-step explanation:

Step-by-step explanation:

Hope this helps you ☺️☺️

Answer:

Step-by-step explanation:

Two of the legs will be at right angles to each other and have negative reciprocal slopes. Area will be half of the product of these two legs.

slope of DE (-3 - (-1)) / (1 - (-6)) = -2/7

slope of EF (4 - (-3)) / (3 - 1) = 7/2

so these two are perpendicular

check the DF line to be certain

slope of DF (4 - (-1)) / (3 - (-6)) = 5/9

Length of DE =  √(-2² + 7²) = √53

Length of EF = √(7² + 2²) = √53

Area of triangle

A = ½√53√53 = 26.5 units²