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SSSSS [86.1K]
3 years ago
14

Bojangles has a rectangle-shaped roof with a width of 6x^2 feet and a length 12x^3. What is the area of the roof?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

area of rectangle = length x width

this is the formula to find it.

now , put the values of length and width,

=> area= 12 x 3 x 6 x 2

=> area =  432 feet^2

Hope this helps!

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Anybody have an answer?
lyudmila [28]

(3+2)^2+(5+4)^2=x^2\\ 5^2+9^2=x^2\\ 25+81=x^2\\ x^2=106\\ x\approx10.3

7 0
3 years ago
Let f(x)=x^3-x-1
alexira [117]
f(x) = x^3 - x - 1

To find the gradient of the tangent, we must first differentiate the function.

f'(x) = \frac{d}{dx}(x^3 - x - 1) = 3x^2 - 1

The gradient at x = 0 is given by evaluating f'(0).

f'(0) = 3(0)^2 - 1 = -1

The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.

The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so

y = -x + c

Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).

f(0) = (0)^3 - (0) - 1 = -1

So the point (0, -1) lies on the tangent. Substituting into the tangent equation:

y = -x + c \\\\ -1 = -(0) + c \\\\ -1 = c \\\\ \text{Equation of tangent is } \boxed{y = -x - 1}
6 0
3 years ago
Express the following rate as a unit rate.
Allisa [31]

Answer:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

6 0
2 years ago
Can you deposit 1750 into investment account that will produce 6.05% annual interest the money was left in the car for two years
PSYCHO15rus [73]

Step-by-step explanation:

Find out how much you get money from the annual interest:

100% = 1750

1% = 1750 ÷ 100 = 17.5

6.05% = 17.5 x 6.05 = 105.87

Find out how much you get from interest in 2 years.

105.87 x 2 = 211.74

(Final answer)

4 0
3 years ago
Simplify the expression below.
natita [175]

Answer:

3m - 8

Step-by-step explanation:

Step by Step:

Equation= 6m³ - 16m² + 15m - 40/ 2m² + 5

Factor out 2m² from 6m³ - 16m²:

Factor out 5 from expression:

2m²(3m - 8) + 5(3m - 8)/2m² + 5

Factor out 3m - 8:

(3m - 8)(2m² + 5)/2m² + 5

Rude the fraction with 2m² + 5:

3m - 8 is the answer

I hope this helped!

3 0
3 years ago
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