Find the solution of the system of equations shown below. Show the work that leads to your answer. y = -2x x + y = 3

Answer: $9.18

Step-by-step explanation:

The payment of $823.76 will go towards both interest and principal repayments.

Find out the interest paid from the amount and deduct it from the monthly payment to find the principal repayment.

Monthly interest payment:

= (85,000 * 11.5%) / 12 months

= $814.58

Principal repayment = 823.76 - 814.58

= $9.18

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

Answer:

Step-by-step explanation:

A and C are equivalent.

6d+6=2(3d+3)

6d+6=3d+3+3d+3=(3d+3)+(3d+3)

Answer:

A and C

Step-by-step explanation:

Given

4d + 6 + 2d ← collect like terms

= 6d + 6

Comparing the following

A

2(3d + 3) ← distribute parenthesis by 2

= 6d + 6

B

6(d + 6) ← distribute parenthesis by 6

= 6d + 36 ≠ 6d + 6

C

(3d + 3) + (3d + 3) ← remove parenthesis

= 3d + 3 + 3d + 3 ← collect like terms

= 6d + 6

Thus A and C are equivalent to the original expression

Answer:

k = -10.5

Step-by-step explanation:

k + 7.5 = -13

Subtract 7.5 from both sides

k + 7.5 - 7.5 = -13 - 7.5

            k = -20.5

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

Answer:

i think it's B. (5 x 4) + 2

Step-by-step explanation:

pls give brainly crown

and if i'm wrong i'm sooooo sorry

Answer:

22,600

Step-by-step explanation:

Answer:

well option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day

Answer:

You can't round 7 to the nearest to 10, because there is nothing to round.

Step-by-step explanation:

Answer:

c. 12

Step-by-step explanation:

the answer is c.12 due to the table

Answer:

y=7x-10

Step-by-step explanation:

a would-be a y coordinate

Answer:

Y=7X-10

Step-by-step explanation:

SANA ALL SMART HAHAHAHHAAHHAHAAHA

Answer:

3

Step-by-step explanation:

(1+3)2-10÷2

1+3=4

4x2=8

10÷2=-5

8-5=3

Answer:

14

3/8 lb

1 1/4 lb

Step-by-step explanation:

Answer:

Packages of Meat altogether- 14

Total Weigh- 1 1/2

Answer:

y=-3/2x-15

Step-by-step explanation:

*see attachment for the diagram of the prisms

Answer:

Prism A

Step-by-step explanation:

✔️Volume of triangular prism (Prism A) = ½×bhl

b = 7 m

h = 9 m

l = 4 m

Volume of Prism A = ½ × 7 × 9 × 4

Volume of Prism A = 126 m³

✔️Volume of rectangular prism (Prism B) = L × W × H

L = 8 m

W = 2 m

H = 8 m

Volume of Prism B = 8 × 2 × 8 = 128 m³

✔️Prism A has the least volume

Answer:

Prism A has the least volume!

Step-by-step explanation:

I took the assignment on Edge and got it right. :)

Answer:

D. (5,0) and (5,10)

Step-by-step explanation:

Answer:

y = 170 - 3x

Step-by-step explanation:

l // m

y + 3x + 10 = 180  {co interior angles are supplementary}

 y + 3x   = 180 - 10   {Subtract 10 from both sides}

   y+ 3x = 170      {Subtract 3x from both sides}

          y = 170 - 3x

Answer:

No false

Step-by-step explanation:

Theres the fibonacci sequance 1,1,2,3,5,8...

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

B subtract 6 then divide by 2

Answer:

B. Subtract 6. Then, divide by 2.

Step-by-step explanation:

2x + 6 = 18

Subtract 6 from both sides.

2x = 12

Divide both sides by 2.

x = 6

Answer: B. Subtract 6. Then, divide by 2.

Answer:

2 :  2/4 and 1/4

Step-by-step explanation:

4/8 can be simplified to 2/4 and then 1/4

Answer:

Step-by-step explanation:

Compare the equation with the standard form, y=ax2+bx+c . Since the value of a is positive, the parabola opens up.

So, y=0 implies, by the zero product property, x+4=0 or x−2=0 .

Substitute x=−1 in the equation y=−x2−2x+8 to find the y -coordinate of the vertex.

Answer:

Part A - B. -2F

Part B - A. -0.5F

Step-by-step explanation:

Part A. -

2 + -10 + 7 + 4 + -13 = -10

-10 / 5 = -2

Part B. -

-10 + 7 = -3

-3 / 6 = -0.5