Answer:
Option C. 
Step-by-step explanation:
we know that
If a system of two linear equations has an infinite number of solutions, then both equations must be identical
The given equation is
<u><em>Verify each case</em></u>
Option A. we have
apply distributive property
Compare with the given equation
Option B. we have
remove the parenthesis
Compare with the given equation
Option C. we have
apply distributive property
Compare with the given equation
therefore
This equation with the given equation form a system that has an infinite number of solutions
Option D. we have
Compare with the given equation
1 it’s the most educated guess.
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
(this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
A nautical mile<span> is based on the circumference of the planet Earth. It is 1.15078 miles or 6076.12 feet or 1.852 kilometers
A mile is </span>a unit of linear measure equal to 5,280 feet, or 1,760 yards (approximately 1.609 kilometers).<span />
