-2/3 ÷ 1/3
=(-2 × 3) / (1 × 3)
= -6/3
= -2/1
<span>= -2</span>
The answer is: [B]: " -10a + 6b² − 4b + 3 " .
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Explanation:
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Given:
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-2(5a − 3b²) − 4b + 3 ;
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"Use the distributive property [of multiplication] to expand the expression."
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Note the distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
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So, we have: " -2(5a − 3b²) − 4b + 3 " ;
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Start with: " -2(5a − 3b²) " ;
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-2(5a − 3b²) = (-2*5a) − (-2*3b²) = (-10a) − (-6b²)
= -10a + 6b²
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→ Now, bring down the rest of the problem;
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-10a + 6b² − 4b + 3 ; which is: Answer choice: [B].
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Answer:
(0,2)
Step-by-step explanation:
The slope-intercept (aka y-intercept) is where the line crosses the y-axis. And the slope-intercept is at (0,2)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
x = 125 ft and y = 250/3 ft
Step-by-step explanation:
Let assume that,
x be the length of the northern part of the fence (parallel to the north wall)
y be the length of the western and eastern pieces of the fence
As well as farmer has $4000 to spend hence we can write,
8x + 8y + 4y = 4000
8x + 12y = 4000
Hence we can say that,
from the above equation we can write

We know that area
A=xy.

we can write

equating it 0 we get


Also,

which is less than zero.
we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.
now, solving for y we get 
Hence we can say that dimensions for the plot that would enclose the most area is,
x = 125 ft and y = 250/3 ft
Answer:
24km
Step-by-step explanation:
distance = speed × time
speed = 80m/s
= 4.8km/min
time = 5mins
distance = 4.8 × 5
= 24km