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4 years ago

How to find the endpoint with the midpoint?

Mathematics

1 answer:

Alexandra [31]4 years ago

7 0

In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.

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LLoyd used 1/4 of chocolate to make 2/3 gallons of chocolate pudding. If Lloyd's recipe is for 1 gallon of pudding, how many pou

Evgesh-ka [11]

Answer:

1/8

Step-by-step explanation:

Llyod used 1/4 chocolates to make 2/3 gallons of chocolate pudding

= 1/4 ÷ 2/3

= 1/4 × 3/2

= 3/8

Therefore the number of pounds needed to make 1/3 of the recipe can be calculated as follows.

= 3/8 × 1/3

= 3/24

= 1/8

5 0

3 years ago

Three persons EB and C work together on a job and finish it finish it in 18 days if E and be working together can finish the job

nikitadnepr [17]

Answer: 30 days

Step-by-step explanation:

Working together, E & B get 1/45 of the job done per day

Working alone, C gets 1/x of the job done per day

Working together, E, B, & C get 1/18 of the job done per day.

$EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad \large\boxed{30=x}$

7 0

3 years ago

What is the instataneous rate of change at x=2 of the function f given by f(x)= x^2-2÷x-1

Dima020 [189]

Answer:

4.5

Step-by-step explanation:

To find the instantaneous rate of chance, take the derivative:

$f(x) = {x}^{2} - \frac{2}{x} - 1 \\ \frac{d}{dx} f(x) = 2x + \frac{2}{ {x}^{2} }$

Remember to use power rule:

$\frac{d}{dx} {x}^{a} = a {x}^{a - 1}$

To differentiate -2/x, think of it as:

$- 2 {x}^{ - 1}$

Then, substitute 2 for x:

$2(2) + \frac{2}{ {2}^{2} } \\ 4 + \frac{2}{4} = 4.5$

6 0

3 years ago

Read 2 more answers

Find the area of the compound shape below.pls help

trapecia [35]

Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

4 0

3 years ago

Divide -3x3 - 4x2 + 4x +3 by x-2

kobusy [5.1K]

Answer:

-3x² - 10x - 16 r. $\dfrac{-29}{x-2}$

Step-by-step explanation:

You can easily do this through synthetic division:

First step is to get all the numeric coefficients of the expression and write them down. Don't forget to bring their signs along with them.

-3x³ - 4x² + 4x +3

| -3 -4 +4 +3

|______________

Next we find the root that is associated with the divisor:

x - 2 = 0

x = 2

We use this and put it outside:

2 | -3 -4 +4 +3

|______________

Okay now we bring down the first coefficient:

2 | -3 -4 +4 +3

|______________

-3

Then we multiply it by the root and put the product under the next coefficient:

2 x - 3 = -6

2 | -3 -4 +4 +3

| -6

-3

Then we add them:

2 | -3 -4 +4 +3

| -6

-3 -10

Do the same steps until the end:

2 | -3 -4 +4 +3

| -6 -20 -32

-3 -10 -16 -29

Now that you have that, remember that since the divisor is in the 1st degree, quotient will have a degree will be one degree below as well.

-3x² - 10x - 26

Your last coefficient is going to be your remainder:

-3x² - 10x - 16 r. $\dfrac{-29}{x-2}$

3 0

4 years ago