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3 years ago

1. Show (using graphing or substitution) or explain why she is correct.

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

9514 1404 393

Answer:

graph attached

Step-by-step explanation:

The attachment is a graph that shows Beyonce is correct.

By solving the system the two ways that she has, Beyonce has already shown her solution is correct by substitution. After finding the value of one variable, she substituted that into the system of equations to find the other variable. She did this for each of the variables.

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Prove that one of every three consecutive positive integer is divisible by 3

Inessa05 [86]

Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : ≡ 0 (mod 3)
1 ) n ≡ 0 ( mod 3)...(1)

n+1 ≡ 1 ( mod 3)...(2)
 n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2 ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

n+1 ≡ 2 ( mod 3)...(2)
 n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3 ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n ≡ 2 ( mod 3)...(1)

n+1 ≡ 3 ( mod 3)...(2)
 n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4 ( mod 3) : ≡ 0 (mod 3) , 24≡ 0 (mod3)

5 0

3 years ago

Complete the table of values for y=2x+3

Elena-2011 [213]

$y = - 2047 \\ x = - 10125$

Step-by-step explanation:

$y = 2x + 3 \\ x = - 2 - 10123 \\ x = - 10125 \\ y = 2( - 10125) + 3 \\ y = - 20520 + 3 \\ y = - 20247$

5 0

3 years ago

Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t

6 0

3 years ago

Find the midpoint of the segment with the following endpoints. (2,9) and (8,1)

vazorg [7]

Answer:

$\displaystyle (5,5)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Midpoint Formula: $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point (2, 9)

Point (8, 1)

Step 2: Identify

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

Step 3: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]: $\displaystyle (\frac{2+8}{2},\frac{9+1}{2})$
[Fractions] Add: $\displaystyle (\frac{10}{2},\frac{10}{2})$
[Fractions] Divide: $\displaystyle (5,5)$

7 0

3 years ago

Solve (i) 4/15+x=17/30

Anna007 [38]

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

3 0

3 years ago