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-BARSIC- [3]
3 years ago
12

Not good with word problems please help

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Let a and b be the respective rates in bricks per minute for Alex and Bob separately.

Alex lays 4 bricks per minute more than Bob

a = b + 4

Working together, their rates scale by 3/4 and they achieve 15 bricks per minutes.

(3/4)(a + b) = 15

Two equations, two unknowns, we solve:

b = a - 4

(3/4)(a + a - 4) = 15

2a - 4 = (4/3) 15 = 20

2a = 24

a = 12

b = a - 4 = 8

Answer: Alex alone does 12 bricks per minute, Bob alone 8 bricks per minute

Check:  a=b+4, good

(3/4)(12 +8)=(3/4)(20)=15, good


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k = 13The smallest zero or root is x = -10
===============================
Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
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The smallest zero is x = -10 as its the left-most value on a number line.
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