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olasank [31]
3 years ago
14

A box has a volume given by the trinomial x3 + 7x2 - 18x. What are the possible dimensions of the box? Use factoring.

Mathematics
1 answer:
fomenos3 years ago
5 0
X^3+7x^2-18x

x(x^2+7x-18)

x(x+9)(x-2)

However note that this is not a normal factoring problem as dimensions must be greater than zero, so x>2

Since we were not given a specific volume there are infinite solutions provided x>2
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Describe and correct the error a student made when graphing y+5=-3/4(x-8).
Elis [28]
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
8 0
3 years ago
6x+2y=<br> −10 <br> slope int form
valentinak56 [21]

Answer:

y = -3x -5

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercep

6x+2y = -10

Subtract 6x from each side

6x+2y -6x = -6x-10

2y = -6x-10

Divide each side by 2

2y/2 = -6x/2 -10/2

y = -3x -5

7 0
2 years ago
Read 2 more answers
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RSB [31]

Answer:

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7 0
3 years ago
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For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in
Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is p'(x)=3x^2-9. In particular, the value we are looking for is p'(2)=3(2^2)-9=12-9=3.

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get y=3(x-2)-10=3x-16

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to p'(2)=3.

4 0
4 years ago
In onenote show how many positive integers less than 50 are multiples of 4, but not multiples of 6
dimaraw [331]
Multiples of 4 = 4 8 12 16 20 24 28 32 36 40 44 48

After Removing multiples of 6= 4 8 16 20 28 32 40 44
5 0
4 years ago
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