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3 years ago

Help with equations??

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

2x^2-2x-12=0
Divide it by 2
x^2-x-6=0
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x+2)
x=3,-2

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The United States government used to make coins of many different values

Papessa [141]

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

5 0

2 years ago

Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

4 0

3 years ago

What is the image of the point (-3,-6) on rotation of 90 degrees about the origin ?

SOVA2 [1]

Answer:

(- 6, 3 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

(- 3, - 6 ) → (- 6, 3 )

6 0

3 years ago

In the diagram, PQRS TUVW$ . Find the value of x

Feliz [49]

Answer:

The answer is x = 8.

Step-by-step explanation:

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3 years ago

Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x

Anuta_ua [19.1K]

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

<h3>How to Find the Area and Perimeter of a Triangle?</h3>

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

brainly.com/question/24571594

#SPJ1

6 0

1 year ago