State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

Answer:

(4,4)

Step-by-step explanation:

We can solve this system of equations using the elimination method.

In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.

For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations

7x - 4y = -44

+ (-7x -3y = 16 )

-----------------------

Remove parenthesis

7x -4y = -44

-7x -3y = +16

------------------

0x - 7y = -28

We are left with -7y = -28.

Because there is now only one variable, we can solve for it.

-7y = -28

divide both sides by -7

y = 4

Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.

7x - 3y = 16

y = 4

7x - 3(4) = 16

multiply 4 and -3

7x - 12 = 16

add 12 to both sides

7x = 28

divide both sides by 7

x = 4

So x = 4 and y = 4 so the solution to the system of equations is (4,4)

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

Answer:(1-(1/x))/2

Step-by-step explanation:

(1-(1/x))/2

We can multiply both sides by x:

Top:  x(1-(1/x)) = (x - 1)

Bottom: 2x

(1-(1/x))/2

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

Answer:

$1717.80

Step-by-step explanation:

We are given one clue: He pays $572.60 each year to cover everyone and his family.

We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.

572.60 x 3 = Total cost to pay after 3 years.

=> $1717.80 = Total cost to pay after 3 years.

We can conclude that Phil will have to pay $1717.80 after 3 years.

Answer

80000

Step-by-step explanation:

200×400

=80000

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Answer:

45 minutes

Step-by-step explanation:

Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk

[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]

Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.

[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]

Done.

Answer:

It's x² -12xi-12x

Step-by-step explanation:

You always do ax²+bx+c

Answer:

Step-by-step explanation:

Apple pie - p, apple tart - t

Set the system as follows:

Solve by substitution, p = 19 - 3t:

Find the value of p:

The equations are

Subtracting both equations

[tex]\\ \sf\longmapsto 2y=8[/tex]

[tex]\\ \sf\longmapsto y=4[/tex]

Put in equation (2)

[tex]\\ \sf\longmapsto x+4=11[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

1.

In this equation, 2x + 6 has to be greater than or equal to y. You must substitute each coordinate into the equation and evaluate to find the correct answer. In this case, the answers are (-10, -20) and (7, 14).

2.

Same goes for this problem. The answers are (11, -32) and (-6, -2).

3.

Since we are given the line equation, we just determine the operator to use. Because it is a dotted line, that means that the point on the line is not included, so we will use a regular <>. Because the space highlighted indicates that -10x - 6 will always be greater than y, the answer is y < -10x-6, or C.

4.

We are given the line equation here as well. Since the boundary line is not dotted, we include the values, meaning we use [tex]\leq \geq[/tex]. Since the highlighted space indicates that y is always greater than or equal to x-5, the answer is [tex]y\geq x-5[/tex], so the answer is B.

B) (X + 1, Y + 7)

We start with X + 2, we then take away X - 1, we are left with X + 1.

We start with Y + 2, we then add Y + 5, we are left with Y + 7.

The only option that has both X + 1 and Y + 7 is B.

I hope this helps! :)

Answer:

Step-by-step explanation:

Let's verify using Pythagorean:

Answer:

x = -6

y = 8

Step-by-step explanation:

Using substitution method.

2x + y = -4 -----------(I)

      y = - 4 - 2x -----------(II)

5x + 3y = -6 -------------------(III)

Substitute y = -4 -2x in equation (III)

5x + 3(-4-2x) = - 6

5x - 12  - 6x = -6

5x - 6x - 12 = -6

Combine like terms

    -x - 12     = -6   {Add 12 to both sides}

              -x = -6 + 12

              -x = 6              {Multiply by (-1)}

               x = -6

Substitute x = -6 in equation (II)

y = - 4 - 2*(-6)

  = -4 + 12

y = 8

Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Answer:

the highest choices are red and green

Answer:

0.21

Step-by-step explanation:

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

To know more about length:

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ANSWER:

The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.

Step-by-step explanation:

For the first one it is: 0.27... or 3/11

For the second one it is: 6

For the third one it is: 1 or 6, meaning it has two solutions

For the fourth one it is: 6.285714, or 44/7

for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11

for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6

I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.

The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

The equations that have {6} as its solution set is,

We have to solve the equation in order to find the value of x,

Equation 1,

15−x=54x

54x+x=15

55x=15

x=0.27

Equation 2,

8+3x=6x−10

6x-3x=-10+8

3x=18

x=6

Equation 3,

x²+2=7x−4

x²-7x+6=0

x²+6x+x+6=0

x(x+6)+1(x+6)=0

(x+1)=0 , x=-1

(x+6)=0, x=-6

Equation 4,

43−4x=3x−1

4x+3x=43+1

7x=44

x=44/7

x=6.285

Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

Learn more about the equation here,

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Answer:

B.97

Step-by-step explanation:

Heyy so angle ADC and DAB are supp to one another, thus

83 + DAB = 180 --> subtracting

DAB =97. B

Hope that made sense :)

Answer:

x

Step-by-step explanation:

Answer:

It is 4

Step-by-step explanation:

True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

Answer:

D

4th option is correct

............

Answer:

g(x) = 2|x|: vertical stretch by a factor of 2.

h(x) = ⅓|x|: vertical compression by a factor of ⅓.

w(x) = 4|x|: vertical stretch by a factor of 4.

Step-by-step explanation:

Given the graph of an absolute value parent function, f(x) = |x|:

Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.  

Hence, when a > 1, the graph is narrower than the parent function.

In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2.  When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function.  For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x|  when x = 1.  

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In g(x) = 2|x|, when x = 1, y = 2.

Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.  

Hence, when 0 < a < 1 , the graph is wider than the parent function.    

In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓.  When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.

If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|,  when x = 1:

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In h(x) = ⅓|x|:  when x = 1, y = ⅓.

Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In w(x) = a|x|,  when x = 1, y = 4.  

This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.

Therefore, the function that represents the given graph is w(x) = 4|x|.

Answer:

Step-by-step explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

We have equation below to compare final amounts:

Correct choice is C

Answer:

There are 14 teachers per student

Step-by-step explanation:

students per teacher =

students / teachers

students: 84

teachers 6

84 / 6 = 14