Censorship was established in the Bill of Rights. True or false! First answer will be marked brainliest!

Solve each system of equations by substitution. Clearly identify your solution.

Stels [109]

Answer:

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: x + x + 8 = 2
Combine like terms: 2x + 8 = 2
[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
[Division Property of Equality] Divide 2 on both sides: x = -3

Step 3: Solve for y

Substitute in x [1st Equation]: y = -3 + 8
Add: y = 5

4 0

3 years ago

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n2+5/2n

leonid [27]

Answer:

$n^2 + \frac{5}{2}n + \frac{25}{16}$

$(n + \frac{5}{4})^2$

Step-by-step explanation:

Given

$n^2 + \frac{5}{2}n$

Required

(a) Make a perfect square trinomial

(b) Write as binomial square

Solving (a)

Let the missing part of the expression be k;

This gives

$n^2 + \frac{5}{2}n + k$

To solve for k, we need to square half the coefficient of n;

i.e. Since the coefficient of n is $\frac{5}{2}$ , then

$k = (\frac{1}{2} * \frac{5}{2})^2$

$k = (\frac{5}{4})^2$

$k = \frac{25}{16}$

Hence;

$n^2 + \frac{5}{2}n + k$ = $n^2 + \frac{5}{2}n + \frac{25}{16}$

Solving (b)

$n^2 + \frac{5}{2}n + \frac{25}{16}$

Expand $\frac{5}{2}n$

$n^2 + \frac{5}{4}n+ \frac{5}{4}n + \frac{25}{16}$

Factorize

$n(n + \frac{5}{4})+ \frac{5}{4}(n + \frac{5}{4})$

$(n + \frac{5}{4})(n + \frac{5}{4})$

$(n + \frac{5}{4})^2$

Hence:

$n^2 + \frac{5}{2}n + \frac{25}{16}$ = $(n + \frac{5}{4})^2$

3 0

3 years ago

19. A certain type of luggage has room for three initials. How many

liubo4ka [24]

The number of different 3-letter arrangements of letters is 15600 arrangements

The question has to do with permutations

<h3>What are permutations?</h3>

Permutations are the number of ways of arranging n objects in x ways. It is given by N = ⁿPₓ = n(n - 1)(n - 2)...(n - x + 1)

<h3>How many different 3-letter arrangements of letters are possible?</h3>

Since we have three initials for the luggage, and we have 26 letters of the alphabet. We have 26 letters to be permutted or arranged in 3 ways.

So, the number of arrangements is ²⁶P₃ = 26 × 25 × 24

= 15600 arrangements

So, the number of different 3-letter arrangements of letters is 15600 arrangements

Learn more about number of arrangements here:

brainly.com/question/27863219

#SPJ1

8 0

2 years ago

Somebody please help quick! solve for x

ololo11 [35]

Answer:

x = 8

Step-by-step explanation:

51° = 4x + 19

32° = 4x

8 = x

5 0

3 years ago

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Patty found a battery-powered toy car in her basement that moved at a speed of 23 mm per second. After she replaced the battery,

stiks02 [169]

Answer:

23x + 2 = 50

Step-by-step explanation:

My teacher told me lol

8 0

3 years ago

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