jackie is solving this system of linear questions: 3x+2y= 20

4x-y=30

which equations could be part of the process of solving this system?

4x+6y=20

12x+8y=80

8x-y=60

8x-2y=60

Question:

Which set of ordered pairs (x,y) could represent a linear function?

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]

[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]

[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]

Answer:

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

Step-by-step explanation:

Given

Ordered pairs A - D

Required

Which represents a linear function?

To do this, we simply calculate the slope (m) of each ordered pairs.

[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]

Considering A:

[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (4,5)[/tex]

[tex]m = \frac{5 - 9}{4 -2} = \frac{-4}{2} = -2[/tex]

Consider the another pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (6,1)[/tex]

[tex]m = \frac{1 - 9}{6 -2} = \frac{-8}{4} = -2[/tex]

Consider the another pairs

[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (7,-1)[/tex]

[tex]m = \frac{-1 - 9}{7 -2} = \frac{-10}{5} = -2[/tex]

The slope is uniform all through.

i.e.

[tex]m = -2[/tex]

Hence, this can be a linear function

Considering B:

[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (0,-3)[/tex]

[tex]m = \frac{-3 - (-8)}{0 - (-1)} = \frac{-3 +8}{0 +1} = \frac{5}{1} = 5[/tex]

Consider the another pairs

[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (1,3)[/tex]

[tex]m = \frac{3 - (-8)}{1 - (-1)} = \frac{3 +8}{1 +1} = \frac{11}{2} = 5.5[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = 5[/tex] and [tex]m = 5.5[/tex]

Hence, this can't be a linear function

Considering C:

[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (-3,3)[/tex]

[tex]m=\frac{3-5}{-3-(-9)} = \frac{3-5}{-3+9} = \frac{-2}{6} = -\frac{1}{3}[/tex]

Consider the another pairs

[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (3,0)[/tex]

[tex]m=\frac{0-5}{3-(-9)} = \frac{0-5}{3+9} = \frac{-5}{12} = -\frac{5}{12}[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = -\frac{5}{12}[/tex] and [tex]m = -\frac{1}{3}[/tex]

Hence, this can't be a linear function

Considering D:

[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]

Consider the following pairs

[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (2,-6)[/tex]

[tex]m = \frac{-6 - (-8)}{2 - 1} = \frac{6 + 8}{1} = \frac{14}{1} = 14[/tex]

Consider the another pairs

[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (3,-3)[/tex]

[tex]m = \frac{3 - (-8)}{-3 - 1} = \frac{3 + 8}{-4} = \frac{11}{-4} = -\frac{11}{4}[/tex]

The calculated slopes are not equal.

i.e.

[tex]m = -\frac{11}{4}[/tex] and [tex]m = 14[/tex]

Hence, this can't be a linear function

From the calculations above:

Only (A) can be a linear function

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt[3]{7}\sqrt{7} }{\sqrt[6]{7^{5} } } \\\\=\frac{7^{\frac{1}{3}+\frac{1}{2}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\left(7^5\right)^{\frac{1}{6}}}\\\\=\sqrt[6]{\frac{7^5}{7^5}}\\\\=\sqrt[6]{1}\\\\=1[/tex]

Answer:

Step-by-step explanation:

a) 14x

b)-40c

c)8n

d)28x

e)8n

f)-15/2y= - 7 1/2 y

Answer:

a represents the amount of money that the math club had yesterday in its account.

Step-by-step explanation:

the account currently has $75.Yesterday, they spent $27.75 in fee to enter a competition, so that means that before they paid the fees, the math club's account had $75 + $27.75 = $102.75

Answer:

the first one is correct

Step-by-step explanation:

Answer:

$550.00

Step-by-step explanation:

I just looked up what is 5℅ of 8,000.00 and added that to her weekly salary

Answer:

The answer would be 550$

Step-by-step explanation:

Answer:

x  =  1.09 ,  − 0.46

Step-by-step explanation:

→ Factorise 8x² - 5x - 4

Not possible by factorisation

→ Substitute values into quadratic formula

x  =  1.09 ,  − 0.46

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Answer:

The solution to the system of equation is (1,-4)

Step-by-step explanation:

Here, we want to find the solution to the system of equations

Since we have y in both places, we can equate the two

That would be;

-x-3 = -7x + 3

-x + 7x = 3 + 3

6x = 6

x = 6/6

x = 1

y = -x - 3

y = -1 -3

y = -4

So the solution to the system of equations is (1,-4)

Answer:

3n - 2 = 13

Step-by-step explanation:

A number tripled would represent a number times 3, so it would be "3n"

If it is increased by -2, then you would be adding -2, or subtracting by 2

lastly, you put " = 13" because "is" in an equation also means "equals"

Answer:

they need a stimlus check

Step-by-step explanation:

facts

Answer:

Step-by-step explanation:

Part A

When dividing 744 ÷ 40, the first digit of the quotient will be in what place?

Hundreds ✔️

Tens  ❌

Ones  ❌

Thousands

Part B

How many apples will be in each basket? Enter your answer in the box.

Apple in each box = 186

Part C

How many apples will be left? Enter your answer in the box.

Apple will be left = 0

Please Tell If Wrong Because I used a piece of paper

There are 18 apples in each basket from the given situation.

Given that, Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Part A:

744 ÷ 40

40 | 744 | 18

      40

   _____

      344
      320
   _____

       24

The first digit of quotient 18 is in tens place.

Part B:

There are 18 apples in each basket.

Part C:

There are 24 apples will be left.

Therefore, there are 18 apples in each basket from the given situation.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

Mrs. Santos's commission was 59,500.

Step-by-step explanation:

850,000 * 7% = 59,500

Answer:

a

Step-by-step explanation:

because add all then divied all the mutiply the too numbers

Answer:

Step-by-step explanation:

3x+4=9x+3, we will add and subtract the variable and the numbers so we have, x in one side and the numbers on the other side

4-3=9x-3x

1=6x

x=1/6

Answer:

x = 1/6

Step-by-step explanation:

1. Add and subtract the variable and the numbers.

So far: 4 - 3 = 9x - 3x

4 - 3 = 9x - 3x

2.  Simplify.

4 - 3 = 1.

9x - 3x = 6x.

To do addition with variables, delete the variables, which now is 9 - 3, easy, 6, add the x back (only to the answer), so 6x.

Since 1 is on 1 part of the equal side, because 4 - 3 = 1.

And is 1 = 6x.

1/6 then is your final answer.

Answer:

its actually joe to the we of the ner

Answer:

y=2x-7

Step-by-step explanation:

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.

All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

-3=2(2)+b

-3=4+b

-3-4=b

-7=b

Now that we have b, we can write the equation:

y=2x-7

Answer:

Thus, 37/50 is the equivalent fraction to 74/100.

Therefore, 37/50 of the animals in the shelter are dogs.

Step-by-step explanation:

Given

Given that 74% of the animals at an animal shelter are dogs.

To determine:

About what fraction of the animals at the shelter are dogs?  

Using the equation to find a fraction equivalent to 74%

 [tex]\:74\%=\:\frac{74}{100}[/tex]

Divide numerator and denominator by 2

         [tex]=\frac{\frac{74}{2}}{\frac{100}{2}}\:\:[/tex]

Cancel the common factor 2.

        [tex]=\frac{37}{50}[/tex]

Thus, 37/50 is the equivalent fraction to 74/100.

Therefore, 37/50 of the animals in the shelter are dogs.

Step-by-step explanation:

c²=24²+45²=2601

so c=51

Answer:

orthocenter

Step-by-step explanation:

I just did it

The term which describes the point V is Orthocenter, the correct option is B.

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

We are given that;

The figure

Now,

We know that in a triangle, whenever a line that passes through a vertex of the triangle such that is perpendicular to the opposite side is called an altitude of the triangle;

So, the point where all the three altitudes of the triangle meets is called its orthocenter .

From the given figure , we can conclude that the point V is the intersecting points of all the altitudes of the triangle STU.

Therefore, by centroid concept the answer will be Orthocenter.

Learn more about centroid here:

https://brainly.com/question/7358842

#SPJ7

Answer:

here is your answer

Step-by-step explanation:

i.think this is a wrong question

Answer:

x > 5/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3x + 10 < 5

Step 2: Solve for x

Here we see that any value x greater than 5/3 would work as a solution.

Step-by-step explanation:

mmi got the answer .as : 1

time=1

Answer:

The stores profit is $59.50

Step-by-step explanation:

Answer:

It is?

Step-by-step explanation:

Answer:

150 plz brainliest

Step-by-step explanation:

10^4 = 10000

10000 (4.5) = 45,000

45,000/300 = 150