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forsale [732]
3 years ago
13

The volume of the rectangular prism is 60x3 + 145x2 + 70x. factor to find the possible expressions for length, width and height

of the prism.
Mathematics
2 answers:
madam [21]3 years ago
8 0
The possible dimensions of the prism will be evaluated as follows:
<span>60x3 + 145x2 + 70x
factoring out 
factoring out 5x we get:
5x(12x^2+29x+14)
factoring the quadratic we get:
5x(3x+2)(4x+7)
hence the dimensions are:
5x by (3x+2) by (4x+7)</span>
Maslowich3 years ago
8 0

Answer:

Possible expressions of length, width and height are 5x, (3x + 2) and (4x + 7)

Step-by-step explanation:

Since volume of the prism is represented by

V = Length × width × height

Expression that represents the volume of the rectangular prism has been given as 60x³ + 145x² + 70x

Now we will factorize this expression to convert it into the length, width and height form.

V = 60x³ + 145x² + 70x

  = 5x(12x² + 29x + 14)

  = 5x[ 12x² + 21x + 8x + 14]

  = 5x[3x(4x + 7) + 2(4x + 7)]

  = 5x[ (3x + 2)(4x + 7)]

  = 5x (3x + 2)(4x + 7)

Now we can say that the possible expressions of length, width and height are 5x, (3x + 2) and (4x + 7)

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The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
12345 [234]
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6


A is ansre

5 0
3 years ago
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Ron earns a 15% commission on his sales in addition to a $1500 monthly salary. Determine his monthly sales goal if he budgets $3
Anastasy [175]

Answer:

His monthly sales goal if he budgets $3750 as his monthly income is $15000.

Step-by-step explanation:

From the information given, the formula to calculate the salary that Ron earns would be:

Total salary=1500+0.15*(monthly sales)

Now, you can replace the total salary and he budgets $3750 as his monthly income and solve for the monthly sales:

3750=1500+0.15*(monthly sales)

3750-1500=0.15*(monthly sales)

monthly sales=2250/0.15

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According to this, the answer is that his monthly sales goal if he budgets $3750 as his monthly income is $15000.

5 0
3 years ago
2x^2 +5x+3/x^2+2x+1​
german

Answer:

\frac{2x+3}{x+1}

Step-by-step explanation:

2x² + 5x + 3 = (x + 1) (2x + 3)

x² + 2x + 1 = (x + 1) (x + 1)

(x + 1) cancels out because there is one in the denominator and the numerator, leaving you with the answer.

Hope this helps!

3 0
3 years ago
The ratio of the measures of the angles in a
gladu [14]

Answer:

36°, 63°,  81°

Step-by-step explanation:

Let 4x = measure of angle 1

7x = measure of angle 2

9x = measure of angle 3

The sum of the measures of the angles of a triangle = 180

So 4x + 7x + 9x = 180

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x = 9

4x = 36 = measure of angle 1

7x = 63 = measure of angle 2

9x = 81 = measure of angle 3

Check:  36 + 63 + 81 = 180

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6 0
3 years ago
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