3 years ago

Factor.

1 answer:

4 0

The answer is B. (2x + 3)(4x - 1), because when you expand it you get 8x^2 + 10x - 3

2x × 4x = 8x^2
3 × 4x = 12x
2x × -1 = -2x
3 × -1 = -3

I hope this helps!

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A student from the community college is selected at random. Find the probability that the student is at last 31. Round approxima

12345 [234]

Answer:

0.077

Step-by-step explanation:

From the table :

Number of students aged 31 - 35 = 60

Number of students over 35 = 26

Total number of students = total possible outcomes = 1123

Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86

Probability = required outcome / Total possible outcomes

Probability (at least 31) = 86 / 1123 = 0.0765

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2 years ago

Write .0085 in scientific notation

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Answer:

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Step-by-step explanation:

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3 years ago

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find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the

pogonyaev

Start by integrating y'' twice to get function y(x).

$y' = \int (12x - 2) dx = 6x^2 -2x + c \\ \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d$

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

$6x^2 -2x+c = -1, x = 1 \\ \\ 6-2+c = -1 \\ \\ c = -5$

The tangent line intersects the curve y(x) when x = 1.
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$y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\ \\ 2-1-5+d = 4 \\ \\ d = 8$

Final Answer:
$y = 2x^3 -x^2 -5x+8$

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3 years ago

What is the inequality for -8x>48

Naily [24]

Answer: x<−6

Step-by-step explanation:

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3 years ago

2. (- 6x + 3) + (x - 7)

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Answer:

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You first have to combine like terms. (-6x + x) + (+3 -7) = -5x-4

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2 years ago

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