Answer:
Steps:

1. Do the point slope form

Y-Y1=m(x-x1)

Y-5=2(x + 6)

Y-5=2x +12

2. Now you add 5 to the number 12

3. Your answer is

Y=2x +17

1. Do the point slope form

Y-Y1=m(x-x1)

Y-5=2(x + 6)

Y-5=2x +12

2. Now you add 5 to the number 12

3. Your answer is

Y=2x +17

The distance in meters of a basket suspended on a spring to a tabletop below is dependent on the number of steel bearings in the basket. The function representing this relationship is d(m) = 7 – 2m, where d(m) represents the distance in meters, and m represents the number of steel bearings in the basket. Which set represents the evaluation of the function d(m) = 7 – 2m when m ∈ {0, 1, 2, 3}?

Examine this expanded form.1(a)(a)(a)(a)(a)(a)Which is the expression in exponential form?

Is the equation always sometimes or never true . . 15+2x-4=9x+11-7x. . 2x+3(4x-1)=2(5x+3)+4x

What would a model be for the math word problem Sammy has 50 pieces of gum. He wants to give 1/2 of the pieces to his brother and 3/4 of the pieces to his sister.

Money off coupons have been circulated to 300 households. Only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. What fraction of the coupons were unused ?

Examine this expanded form.1(a)(a)(a)(a)(a)(a)Which is the expression in exponential form?

Is the equation always sometimes or never true . . 15+2x-4=9x+11-7x. . 2x+3(4x-1)=2(5x+3)+4x

What would a model be for the math word problem Sammy has 50 pieces of gum. He wants to give 1/2 of the pieces to his brother and 3/4 of the pieces to his sister.

Money off coupons have been circulated to 300 households. Only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. What fraction of the coupons were unused ?

**Answer:**

The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

**Step-by-step explanation:**

÷ **(x - 3)** =

÷ (x - 3) =

÷ (x - 3) =

÷ (x - 3) =

÷ **(x - 1)** =

x³ + (4x³ + 0 - x - 3) ÷ (x - 1) =

x³ + 4x² + (4x² - x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + (3x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + 3

∵ -3 is a root ⇒ (x + 3) is a factor

(x³ + 4x² + 4x + 3) ÷ **(x + 3**) =

x² + (x² + 4x + 3) ÷ (x + 3) =

x² + x + (x + 3) ÷ (x + 3) =

x² + x + 1 ⇒ use the formula to find the factors of this quadratic

∵ a = 1 , b = 1 and c = 1

∴

∴

∴ The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes:

x - 3 = 0 ⇒ x = **3**

x + 3 = 0 ⇒ x = **-3**

x - 1 = 0 ⇒ x = **1**

x - (1 - i√3)/2 = 0 ⇒ x = **(1 - i√3)/2**

x - (1 + i√3)/2 = 0 ⇒ x = **(1 + i√3)/2**

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

6 consecutive integers : x, x + 1, x + 2, x + 3, x + 4, x + 5

the sum is 387...

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387...combine like terms

6x + 15 = 387

6x = 387 - 15

6x = 372

x = 372/6

x = 62

the 6th number, which is x + 5 is : 62 + 5 = 67 <==

the sum is 387...

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387...combine like terms

6x + 15 = 387

6x = 387 - 15

6x = 372

x = 372/6

x = 62

the 6th number, which is x + 5 is : 62 + 5 = 67 <==

**Answer:**

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Look at the picture.

Use the Pythagorean Teorem:

Use the Pythagorean Teorem:

Answer

To solve this system of linear equations, we can use the method of substitution.

First, let's solve the first equation for x:

x = 34 - y - z

Now, we substitute this value of x into the second equation:

1(34 - y - z) + 10y + 5z = 100

34 - y - z + 10y + 5z = 100

34 + 9y + 4z = 100

Next, we simplify the second equation:

9y + 4z = 100 - 34

9y + 4z = 66

We can rewrite this equation as:

9y = 66 - 4z

y = (66 - 4z) / 9

Now, we substitute this value of y back into the first equation:

x + (66 - 4z) / 9 + z = 34

Multiplying through by 9 to eliminate the fraction:

9x + 66 - 4z + 9z = 306

9x + 5z = 240

Now we have a system of two equations in two variables:

9x + 5z = 240

9y + 4z = 66

We can solve this using the method of substitution or elimination. Let's use the method of elimination:

Multiplying the first equation by 4 and the second equation by 5, we get:

36x + 20z = 960

45y + 20z = 330

Subtracting the second equation from the first, we eliminate z:

36x - 45y = 630

We can simplify this equation by dividing through by 9:

4x - 5y = 70

Now, let's solve the new system of equations:

4x - 5y = 70

9y + 4z = 66

We can multiply the first equation by 9 and the second equation by 4 to eliminate x:

36x - 45y = 630

36y + 16z = 264

Now, subtracting the first equation from the second, we eliminate y:

36y + 16z - 36x + 45y = 264 - 630

81y + 16z = -366

Dividing through by 3, we get:

27y + 16z = -122

Now, we have a system of two equations in two variables:

4x - 5y = 70

27y + 16z = -122

We can solve this system using the method of substitution or elimination.

**Answer:**

25.12/100

**Step-by-step explanation:**

Percent means per hundred, so 25.12 percent means 25.12 per hundred. Thus, you can make 25.12 the numerator and 100 the denominator, and make 25.12 percent a fraction like this:

25.12/100