Which of these statements are true for joint variations? Check all that apply.

There are at least two constants of proportionality.

The independent variable is related to the product of the independent variables by a constant of proportionality, k.

The equation must have at least two independent variables.

The constant of proportionality is 1.

Answer:

The equation of required line is: [tex]\mathbf{x+y=5}[/tex]

Step-by-step explanation:

We need to find an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4

For finding an equation of line, we need to find slope and y-intercept of the line.

Finding slope:

If the lines are parallel their slope is same

We are given: x+y=4

Writing in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

[tex]x+y=4\\y=-x+4[/tex]

Comparing [tex]y=-x+4[/tex] with [tex]y=mx+b[/tex] the slope m is -1

So, slope of given line is -1

It is parallel with required line, so they have same slope.

The slope of required line is m=-1

Finding y-intercept

Using slope m=-1 and point(2,3) we can find y-intercept

Using slope-intercept form: [tex]y=mx+b[/tex]

[tex]y=mx+b\\3=-1(2)+b\\3=-2+b\\b=3+2\\b=5[/tex]

So, y-intercept is: b=5

The equation of required line having slope m=-1 and y-intercept b = 5 is

[tex]y=mx+b\\y=-1x+5\\y=-x+5\\x+y=5[/tex]

So, equation of required line is: [tex]\mathbf{x+y=5}[/tex]

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Two equations are parallel if they have equal slope

For the equation x + y = 4

Rewrite the equation in the form y = mx + c

y  =  -x  +  4

Compare y = -x + 4 with y = mx + c

The slope, m = -1

The equation parallel to x + y = 4 will also have a slope, m = -1

The line passes through the point (2, 3)

That is, x₁ = 2, y₁ = 3

The point-slope form of the equation of a line is:

y - y₁  =  m(x  -  x₁)

Substitute x₁ = 2, y₁ = 3 into y - y₁  =  m(x  -  x₁)

y - 3 = -1(x  - 2)

y - 3 = -x + 2

y  =  -x  +  2  +  3

y  =  -x  +  5

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Learn more here: https://brainly.com/question/19484034

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

2x + 5y = 16

3x - 5y = -1

Step 2: Solve for x

Step 3: Solve for y

Answer:

(3, 2)

Step-by-step explanation:

2x + 5y = 16 ........ (1)

3x - 5y = - 1 ......... (2)

(1) + (2)

( 2x + 3x ) + [ 5y + ( - 5y)] = 16 + (- 1)

5x = 15 ⇒ x = 3

2(3) + 5y = 16 ⇒ y = 2

(3, 2)

Answer:

d = 100 - 25t

Step-by-step explanation:

Answer:

4 2/3

Step-by-step explanation:

Answer:

w = -1.3 (.3 repeating)

Step-by-step explanation:

3/2w = -20

3/2w time 2/3 (flip to get rid of fraction)

- 20 time 2/3 (what you do to one side, you must do to the other side)

w = 1.3 (.3 repeating)

1.3 as a fraction is 4/3

Answer:

yes I think...........

Answer:

y=[tex]-\frac{1}{3}[/tex]+2

Step-by-step explanation:   m=slope, b= y-intercept

y=mx+b             how to find the slope=  [tex]\frac{3-0}{1-2}[/tex]

y=m(x)+b

1=m(3)+b

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

Answer:

Length of AB is [tex]\sqrt{106}[/tex]

Step-by-step explanation:

Let us use the rule of the distance To find the length of AB

∵ A = (9, -3)

∵ B = (0, 2)

∴ x1 = 9 and y1 = -3

∴ x2 = 0 and y2 = 2

∵ AB = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

→ Substitute the values of x1, x2, y1, and y2 in the rule to find AB

∴ AB = [tex]\sqrt{(0-9)^{2}+(2--3)^{2}}[/tex]

∴ AB = [tex]\sqrt{(-9)^{2}+(2+3)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+(5)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+25}[/tex]

∴ AB = [tex]\sqrt{106}[/tex]

→ The square root of 106 is the simplest radical form

∴ Length of AB is  [tex]\sqrt{106}[/tex]

Answer:

x = 3 ± 3i√2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define equation

(x - 3)² + 8 = -10

Step 2: Solve for x

Answer:

add 4.3x to both sides of the equation

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because every cup has to be equal and if is not then every cup will be less then a cup eather way it will be the same

Answer:

+2

Step-by-step explanation:

Answer:

a) the common difference is 20

b) [tex]x_8=115 , x_{12}=195[/tex]

c) the common difference is -13

d) [tex]a_{12}=52, a_{15}=13[/tex]

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: [tex]x_n=x_1+(n-1)d[/tex]

We know common difference d= 20, we need to find [tex]x_1[/tex]

Using [tex]x_3=16[/tex] we can find [tex]x_1[/tex]

[tex]x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25[/tex]

So, We have [tex]x_1 = -25[/tex]

Now finding [tex]x_8[/tex]

[tex]x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115[/tex]

So, [tex]\mathbf{x_8=115}[/tex]

Now finding [tex]x_{12}[/tex]

[tex]x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195[/tex]

So, [tex]\mathbf{x_{12}=195}[/tex]

c) what is the common difference of the sequence [tex]a_m[/tex]

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: [tex]a_n=a_1+(n-1)d[/tex]

We know common difference d= -13, we need to find [tex]a_1[/tex]

Using [tex]a_7=104[/tex] we can find [tex]x_1[/tex]

[tex]a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195[/tex]

So, We have [tex]a_1 = 195[/tex]

Now finding [tex]a_{12}[/tex] , put n=12

[tex]a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52[/tex]

So, [tex]\mathbf{a_{12}=52}[/tex]

Now finding [tex]a_{15}[/tex] , put n=15

[tex]a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13[/tex]

So, [tex]\mathbf{a_{15}=13}[/tex]

Answer:6x-5+2x+5+3x+22 and u get your answer

Step-by-step explanation:

Answer:

the answer is -10

Step-by-step explanation:

the steps are in the picture

Answer:

The answer to this expression would be negative.

Step-by-step explanation:

-10

the answer is d which is x=.5x=-4

Answer:

he needs to work 3 more days in order to make 250 dollars for his vacation

Step-by-step explanation:

Answer:

4x9/2

4x9/2

36/2

18

UwU

18 is your answer

Answer:

Step-by-step explanation:

Remark

The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.

2^x = 1024

log 2^x = log(1024)

x log(2) = log(1024)

x * 0.30102 = 3.0102

x = 30102/0.30102

x = 10

You could use the e system to solve this as well

2^x = 1024

ln(2^x) = ln(1024)

x * ln(2) = ln(1024)

x 0.6931 = 6.9315

x = 6.9315/0.69315

x = 9.999959

x = 10

Answer: 8

Step-by-step explanation: 36/4.50

Answer:

8tickets

Step-by-step explanation:

she has $36

1rickeet costs $4.50

hence,

$36/$4.50

=$8.0

=8tickets.

hope was helpful!

Answer:

Fraction Decimal Percent

2/3 0.666… 66.666…%

1/4 0.25 25%

3/4 0.75 75%

1/5 0.2 20%

Answer:

4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

f(x) = |x| will always be parent function unless told otherwise.

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

The number of the quarters coins are 14. Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

Kat has 19 coins, all quarters and dimes, that are worth a total of $4.

The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.

           q + d = 19

                 d = 19 – q ...1

0.25q + 0.1d = 4        ...2

Solve the equation, we have

0.25q + 0.1(19 – q) = 4

0.25q – 0.1q + 1.9 = 4

                     0.15q = 2.1

                           q = 14

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

We assign the older value to variable A and the newer value to variable B. Units, in this case the dollars, are always stripped or canceled out in percent change problems since we’re looking for increases or decreases in percentage.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the slope is 1/1

Answer:

B. Ractangle

Step-by-step explanation:

Answer:

$1,494

Step-by-step explanation:

the total cost multiplied by the number of family members

Step-by-step explanation:

249 x 6 = 1,494

Answer: $1,494

Lets go over some stuff before we answer this absolute values make anything positive or make you count down from zero so then just imagine those numbers as positive.

ill put them as positives and then sort them here

3.07 3.25 3.31    |3.07 3.25 3.31 (Correct)

7.38, 7.39 , 7.41 | 7.38, 7.39 , 7.41  (Correct)

17.12, 17.08 17.06 | 17.06 ,17.08 ,17.12 (Wrong)

21.95 , 22.02 , 22.11 | 21.96 , 22.02 , 22.11 (Correct)

Answer:

|−17.12| , |−17.08| , ∣∣17.06∣wrong∣ ∣∣21.95∣∣ , |−22.02| , |−22.11| correct |−7.38| , ∣∣7.39∣∣ , |−7.41|correct |−3.07| , ∣∣−3.25∣∣ , |3.31|:correct

Answer:

y=2x-4

Step-by-step explanation: