Step-by-step explanation:
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Answer:What number must be multiplied by 3 to obtain 15? ... Example 11 A student solved the equation 5x - 3 = 4x + 2 and found an answer of x = 6. ... Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. ... + 3x = 7x + 2 - 4x can be changed to a simple equation x = 3, and the equation x = 3 is .
Step-by-step explanation:
<span>The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2.
The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.</span>
Final Answer: 
Steps/Reasons/Explanation:
Question: Which expression is equivalent to 
<u>Step 1</u>: Expand by distributing terms.
× 
× 
<u>Step 2</u>: Simplify × 
to 
.
×
<u>Step 3</u>: Simplify 
× to 
.
<u>Step 4</u>: Remove parentheses and add.
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Answer:
20 and 3/16
Step-by-step explanation:
Answer:
578×176=20316
Solution with Steps
578×176=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
57×178×6=96948
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using
GCF(969,48) = 3
969÷348÷3=32316
The fraction
32316
is the same as
323÷16
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
Solution by Formulas
Apply the fractions formula for multiplication, to
578×176
and solve
57×178×6
=96948
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3
969÷348÷3=32316
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
