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lorasvet [3.4K]
3 years ago
10

How do you solve for X in a fraction

Mathematics
1 answer:
Andrews [41]3 years ago
7 0

By cross-multiplying, we get

15x + 30 = 24

15x = -6

x = -3 / 5



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Find the solution of the system by graphing
zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

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

y = x + 1

3x + 3y = -9

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

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

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

6 0
3 years ago
Expand and Simplify (x-2)^2
Soloha48 [4]

Answer:

\boxed{\ x^2-4x+4 \ }

Step-by-step explanation:

(x-2)^2 = (x-2)(x-2)=x(x-2)*-2(x-2)=x^2-2x-2x+4=x^2-4x+4

3 0
3 years ago
Simplified radical form of 4800 feet how many seconds was the diver in a free fall? Using functions (t)=16t^2 models the distanc
amm1812

Answer:

The diver will be in free fall for 10\sqrt{3} seconds.

Step-by-step explanation:

The distance in feet, that an object falls in t seconds is given by the function h(t) = 16t^{2}.

Now, given that the height is 4800 feet and we have to calculate the number of seconds the diver was in a free fall.

Therefore, 4800 = 16t^{2}

⇒ t^{2} = \frac{4800}{16} = 300

⇒ t = \sqrt{300} = \sqrt{100 \times 3} = 10\sqrt{3} seconds.

Therefore, the diver will be in free fall for 10\sqrt{3} seconds. (Answer)

5 0
3 years ago
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of
OLga [1]

Answer:

i think it's 11 meals have been ordered

4 0
3 years ago
Use the mapping to determine which of the following are elements of the range.
Vadim26 [7]

Answer:

The elements of the range are the birthdays.

Step-by-step explanation:

A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.

A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.  

Lines or arrows are drawn from domain to range, to signify the relation between any two elements.

A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.

From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.

The elements of the range are:

Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }

Thus, the elements of the range are the birthdays.

6 0
3 years ago
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