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USPshnik [31]
3 years ago
12

Find the solution to the system of equations below: y = 4x + 20 y = 8x - 4

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

(6, 44)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x + 20

y = 8x - 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              8x - 4 = 4x + 20
  2. Subtract 4x on both sides:           4x - 4 = 20
  3. Add 4 on both sides:                    4x = 24
  4. Divide 4 on both sides:                x = 6

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = 8x - 4
  2. Substitute in <em>x</em>:                       y = 8(6) - 4
  3. Multiply:                                  y = 48 - 4
  4. Subtract:                                 y = 44
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Please help me. Por favorrrrrr
irakobra [83]
The statements that are correct are A and E. A because the y-intercept for y=5x+12 is 12 and the table of values it is 5. E is correct because the rate of change for the table of values is 24 and y=5x+12, it is 5.
4 0
2 years ago
What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?
VARVARA [1.3K]

Answer:

(x + 1)^2 + (y - 7)^2 = 100

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

(x - h)^2 + (y - k)^2 = r^2,

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

(x - h)^2 + (y - k)^2 = r^2

(x - (-1))^2 + (y - 7)^2 = 10^2

(x + 1)^2 + (y - 7)^2 = 100

4 0
2 years ago
Where do I put the other two
Ilya [14]
You can put h on -1 and sum on 0.4. Also, you put 1.4 in the wrong place. It should be three more places to the right.
4 0
3 years ago
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1200 feet, what are the dimensions of
boyakko [2]

Answer:

width=60     length=540

Step-by-step explanation:

(w+9w)*2=1200

5 0
3 years ago
Help please and show the steps! thank you!​
san4es73 [151]

Answer:

#1.  x = -1

Answer = 8

#2. x = 1/5

Answer = 344/25

#3. x = 14

Answer =  13328

Step-by-step explanation:

#1. a. plug in -1

f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14

b. Solve the exponents.

(5(-1)^3)

(5x-1)

(-5) - (2(-1)^2) - (-1) + 14

(2(-1)^2)

(2x1)

(-5) - (2) - (-1) +14

c. simplify.

(-5) - (2) + 1 + 14

-7 + 15

8

#2.

f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14

(5(1/5)^3)

(5 x 1/125)

(1/25) - (2(1/5)^2)

(2 x 1/25)

(2/25)

(1/25) - (2/25) - (1/5) +14

(-1/25) - (1/5) +14

Note: (1/5) turns into (5/25) so it can be subtracted.

-6/25 + 14

Note: 14 turns into 350/25 so it can be added.

350/25 - 6/25 = 344/25

#3.

f(14)= (5(14)^3) - (2(14)^2 - (14) + 14

Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.

f(14)= (5(14)^3) - (2(14)^2)

( 5 (14^3))

(5 x  2744)

(13720) - (2(14^2))

(2 (14^2))

(2x196)

392

(13720) - 392

13328

Good Luck!

3 0
3 years ago
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