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grin007 [14]
4 years ago
9

Given that 4x-5y = 21 Find x when y = -4. Give your answer as a fraction in its simplest form.

Mathematics
2 answers:
alexira [117]4 years ago
6 0

Answer:

x = 1/4

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<u> </u>

Equality Properties

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x - 5y = 21

<em>y</em> = -4

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

  1. Substitute in <em>y</em>:                                                                                                  4x - 5(-4) = 21
  2. Multiply:                                                                                                             4x + 20 = 21
  3. [Subtraction Property of Equality] Subtract 20 on both sides:                      4x = 1
  4. [Division Property of Equality] Divide 4 on both sides:                                  x = 1/4
blsea [12.9K]4 years ago
4 0

Answer:

1/4 (One over Four)

Step-by-step explanation:

Step 1. Multiply -5 with -4 (Negitive x Negitive is always Positive!).

Step 2. Subtract 20 (From step 1) from 21.

Step 3. divide 4x by 1.

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Step-by-step explanation:

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8 0
4 years ago
Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5.
Rom4ik [11]

given :-

p(t) = 3t^2 - 5t - 7

g(t) = t - 5

=> t = 5

on putting values..

p(5) = 3(5)² + 5(5) - 7

= 3(25) + 25 - 7

= 75 - 18

= 57

hence, the remainder is 57.

D. 57 is the correct option

3 0
3 years ago
How do you factor x squared -4x+4
telo118 [61]
X^2-4x+4
(x-2)(x-2) or (x-2)^2

Check:
-2-2=-4
-2*-2=4
6 0
3 years ago
What is the average rate of change for this exponential function for the interval from x=0 to x=2
bezimeni [28]
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5  - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
8 0
4 years ago
What is 7.868 divided 1.4
Sergio [31]
Quick question, why didn't you just use the calculator on the device you took this photo with? Anyway, the answer is 5.62
5 0
4 years ago
Read 2 more answers
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