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Anika [276]
2 years ago
15

If 8600 firefighters work for a city and 31 out of 40 firefighters who were asked if they enjoy their jobs

Mathematics
1 answer:
sergeinik [125]2 years ago
4 0

I am slightly confused. What exactly is the question?

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A B and E

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The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1 =
ivolga24 [154]

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x-4y=8

Step-by-step explanation:

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3 years ago
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Graham sold six magazines less than double what Adriannne sold, a. Which of the following expressions represents Graham’s sales
Eva8 [605]

The best and most correct answer among the choices provided by your question is the fourth option or letter D. The expression that represents Graham's sales is 2a − 6. Twice the sales of Adrianne, deducted by 6 should be Graham's sales.

Hope this helps!

6 0
3 years ago
What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0
2 years ago
Rewrite the equation below in standard form y=2x+5.
Bingel [31]
Standard Form is Ax + By = C
y=2x+5
-2x+y= -2x+2x +5
-2x + y = 5

Answer -2x + y = 5
7 0
3 years ago
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