Solve the equation. 15x^2-29x-a^2=0
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Answer:
Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot
Step-by-step explanation:
Part 9)
Let
x ----> number of items on Emily's grocery list
x ----> number of items on Bobby's grocery list
we know that
----> equation A
----> equation B
Solve by substitution
Substitute equation A in equation B
solve for x
Find the value of y
therefore
The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10)
Let
x ----> the height of the taller bookshelf in feet
y ----> the height of the shorter bookshelf in feet
we have
----> equation A
Remember that
To convert inches to feet divide by 12
so
----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x
therefore
The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot