Answer:
Option D
Step-by-step explanation:
- You have to first find 4^x and then multiply it with two .
Not like this
(×)
Hence the variable has coefficient 4 as 4^x is multiplied.
If f(x)=x^2-5x and g(x)=8-x^3, evaluate the following:
1 answer:
Answer:
a. -25
b. -52
c. 54
d. 8/7 = 1 1/7
Step-by-step explanation:
Evaluate each of the functions for each of the variable values and compute the composite as defined.
a. (f+g)(3) = f(3) + g(3) = 3^2 -5·3 + 8 -3^3 = -25
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b. (g -f)(4) = g(4) -f(4) = 8 -4^3 -(4^2 -5·4) = 8 -64 -16 +20 = -52
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c. (f*g)(-1) = f(-1) · g(-1) = ((-1)^2 -5(-1)) · (8 -(-1)^3) = 6·9 = 54
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d. (g/f)(-2) = (8 -(-2)^3)/((-2)^2 -5(-2)) = (8+8)/(4+10) = 16/14 = 8/7
<em>_____</em>
<em>Comment on approach to the problem</em>
When there are a number of evaluations of the same function with different values of the variable, it can be convenient to let a calculator or spreadsheet do those for you.
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QUESTION: To find the surface area of the triangular Prism given in the figure.
ANSWER:
STEP BY STEP EXPLANATION:
In a triangular Prism there are three rectangular faces and two triangular faces
As, in the given question the prism is irregular. So, it have different area of base rectangular face than that of the two side rectangular faces.
A/C to the question,
Base of triangular face = 6 unit
Height of triangular face = 4 unit
Length of side rectangular face = 7 unit
Breadth of side rectangular face = 5 unit
Length of base rectangular face = 7 unit
Breadth of base rectangular face = 6 unit
Area of triangle =
Area of rectangle = Length × Breadth
AREA OF PRISM = 2 × AREA OF TRIANGULAR FACE + 2 × AREA OF SIDE RECTANGULAR FACE + AREA OF BASE RECTANGULAR FACE
=> Area of Prism = + 2(Length of side rectangular face × Breadth of side rectangular face) + Length of base rectangular face × Breadth of base rectangular face
=> Area of Prism = + 2(7 × 5) + 7 × 5
=> Area of Prism = 2(3 × 4) + 2(7 × 5) + 7 × 6
=> Area of Prism = 2(12) + 2(35) + 42
=> Area of Prism = 24 + 70 + 42
=> Area of Prism = 136 units²