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solong [7]
2 years ago
15

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2

– 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36
Mathematics
1 answer:
IRINA_888 [86]2 years ago
6 0

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

Learn more about Synthetic Division:

brainly.com/question/14645972

#SPJ4

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snow_lady [41]

Answer:

C. 88

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fg( -5 )

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replace x with [ -5 ]

f( (-5)²  -5)

f(20)

[ replace x with 20 ]

4(20) + 8

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88

7 0
3 years ago
The list shows the price of a gallon of gasoline at 11 gas stations. $4.20, $4.09, $4.35, $4.39, $4.79, $4.55, $4.50, $4.22, $4.
Sauron [17]
The range of a list of numbers is the biggest number minus the smallest number. In this case, it is $4.79-$4.09 which equals $0.70.

Don't forget to follow me and vote brainliest!!!
4 0
3 years ago
Read 2 more answers
Need help ASAP. The diagram shows 5ft student standing near a tree. The shadow of the student and the shadow of the tree at endp
Dmitry_Shevchenko [17]

Answer:

25 ft

Step-by-step explanation:

The 2 triangles are similar hence the ratios of corresponding sides are equal, that is

\frac{x}{5} = \frac{40}{8} = 5

multiply both sides by 5

x = 5 × 5 = 25

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3 0
3 years ago
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1
Juli2301 [7.4K]

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: brainly.com/question/13911928

5 0
2 years ago
f(x) = square root ( x^4 -16x^2) let f be the function given by: . . a) Find the domain of f.. b) Find f '(x). c) Find the slope
Bond [772]
A ) The domain:
x^{4} -16 x^{2}  \geq 0 \\  x^{2} ( x^{2} -16) \geq 0 \\  x^{2} -16 \geq 0 \\  x^{2}  \geq 16
x ≤ -4  and x≥ 4  or:  x ∈ ( - ∞ , - 4 ) ∪ ( 4  , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{ x^{4} -16 x^{2} } } *( 4 x^{3} - 32 x ) = \\ = \frac{2x( x^{2} -8)}{ \sqrt{ x^{4}-16 x^{2}  } }
c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) = \frac{10(25-8)}{ \sqrt{625-400} }=  \frac{10*17}{15} = \frac{34}{3}
m = - 3/34 

8 0
3 years ago
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