What is the equation of the trend line for the scatter plot?

Slove the system<br> Linear equations<br> by substation<br> Y+11=6x<br> 2x+3y=7

Dimas [21]

Step-by-step explanation:

y = 6x-11

substitute y into 2x+3y=7

2x+3(6x-11)=7

2x + 18x-33 = 7

20 x = 7+33

x = 2

y?

y= 6(2)-11

y = 12-11 = 1

so, x = 2 and y = 1

7 0

3 years ago

Q19. When a resistor is placed across 230M supply (de) the

Vera_Pavlovna [14]

The value of the resistor that must be connected in parallel is 57.47 ohms

<h3>How to determine the resistor connected across the 230 V supply</h3>

Voltage (V) = 230 V
Current (I) = 12 A
Resistor 1 (R₁) =?

V = IR

230 = 12 × R₁

Divide both sides by 12

R₁ = 230 / 12

R₁ = 19.17 ohms

<h3>How to determine the total resistance</h3>

Voltage (V) = 230 V
Current (I) = 16 A
Total resistance (Rₜ) =?

V = IR

230 = 16 × Rₜ

Divide both sides by 12

Rₜ = 230 / 16

Rₜ = 14.375 ohms

<h3>How to determine the resistor connected in paralle</h3>

Resistor 1 (R₁) = 19.17 ohms
Total resistance (Rₜ) = 14.375 ohms
Resistor 2 (R₂) = ?

1/Rₜ = 1/R₁ + 1/R₂

Collect like terms

1/R₂ = 1/Rₜ - 1/R₁

R₂ = (Rₜ × R₁) / (R₁ - Rₜ)

R₂ = (14.375 × 19.17) / (19.17 - 14.375)

R₂ = 57.47 ohms

Learn more about Ohm's law:

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6 0

2 years ago

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if

Alecsey [184]

She would make $573.5 in a work if she sold $4,700 worth of merchandise

Step-by-step explanation:

The given is:

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shop
She sold by $4,700

We need to find how much she would make in a work week

∵ Mae Ling earns a weekly salary of $315

∵ She earns a 5.5% commission on sales

∵ She sold by $4,700 in that week

- Add $315 to the product of 5.5% and $4,700

∴ She made = 315 + (5.5% × 4,700)

∵ 5.5% = 5.5 ÷ 100 = 0.055

∴ She made = 315 + (0.055 × 4,700)

∴ She made = 315 + 258.5

∴ She made = 573.5

She would make $573.5 in a work if she sold $4,700 worth of merchandise

Learn more:

You can learn more about word problem in brainly.com/question/3950386

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8 0

3 years ago

Running at the same constant rate, 5 identical machines can produce one lot containing a certain number of toys per hour. At thi

inessss [21]

Answer:

$1.6\cdot{x}$

Step-by-step explanation:

If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:

Here the machines are constant and the rate is x toys per hour:

If 5 machines make x per hour:

Rate is x/1 hour

The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:

Rate for 5 machines is x and for 8 machines is y:

$y=1.6\cdot{x}$

6 0

3 years ago

F(x)=-2x+15 from x=0 to x=3 <br> Find the average rates of change

Scrat [10]

Answer:

see below

Step-by-step explanation:

6 0

4 years ago