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jarptica [38.1K]
3 years ago
13

Factor the following equation 2n2 -n -45​

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

( n − 5 ) ( 2 n + 9 )

Step-by-step explanation:

Factor by grouping

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6000 students

Step-by-step explanation:

Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000

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One student can paint a wall and 12 minutes another student can paint the same more than 24 minutes working together how long wi
iren2701 [21]

Answer:

It would take them 6 minutes to paint the wall and 12 to paint the other half : 18 minutes

Step-by-step explanation:

Say that the student who can paint a wall in 12 minutes is painting half of the wall it would take them 6 minutes

As the other student who can paint the same wall in 24 minutes also paints half of a wall it would take that person 12 minutes.

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How do you do this problem?
zhenek [66]

Answer:

A) g is increasing, and the graph of g is concave up.

Step-by-step explanation:

g'(x) = ∫₀ˣ e^(-t³) dt

Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0.  So the function is increasing.

Find g"(x) by taking the derivative using second fundamental theorem of calculus:

g"(x) = e^(-x³)

g"(x) is always positive, so the function is always concave up.

5 0
3 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2,
navik [9.2K]

Answer:

The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0

2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0

6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)

y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right) (1)

If we know that (x,y) = (2, 1), then the slope of the tangent line is:

y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)

y' =-\frac{5}{18}

By definition of tangent line, we determine the intercept of the line (b):

y = m\cdot x + b

b = y - m\cdot x (2)

If we know that (x,y) = (2,1) and m = -\frac{5}{18}, then the intercept of the tangent line is:

b = 1 - \left(-\frac{5}{18} \right)\cdot (2)

b = \frac{14}{9}

The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

5 0
3 years ago
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