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zaharov [31]
2 years ago
7

If −1 is a zero of the polynomial p(x)=ax^3−x^2+x+4, find the value of a.

Mathematics
1 answer:
vitfil [10]2 years ago
8 0

Answer:

a = 2

Step-by-step explanation:

given x = - 1 is a zero then f(- 1) = 0 , that is

a(- 1)³ - (- 1)² - 1 + 4 = 0

- a - 1 - 1 + 4 = 0

- a + 2 = 0 ( subtract 2 from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

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Answer:

The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.

Step-by-step explanation:

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2 years ago
an item is regularly priced $70. it is now priced at a discount of 20% off the regular price. what is the price now?
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The price now is (80/100)x70 = (5600/100) = $56;
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A bag contains 6 red and 10 black marbles. If Mia picks a marble, records its color, and returns it to the bag 200 times, how ma
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3 years ago
the equation a=1/2(b1+b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. whi
galina1969 [7]

Answer:

b₁ = (2a – b₂h)/h; b₁ = (2a)/h – b₂; h = (2a)/(b₁ + b₂)

Step-by-step explanation:

A. <em>Solve for b₁ </em>

          a = ½(b₁ + b₂)h        Multiply each side by 2

        2a = (b₁ + b₂)h           Remove parentheses

        2a = b₁h + b₂h           Subtract b₂h from each side

2a - b₂h = b₁h                    Divide each side by h

         b₁ = (2a – b₂h)/h     Remove parentheses

         b₁ = (2a)/h – b₂

B. <em>Solve for h </em>

2a = (b₁ + b₂)h     Divide each side by (b₁ + b₂)

 h = (2a)/(b₁ + b₂)

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4 servings if one serving per cup
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