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Brilliant_brown [7]
2 years ago
3

One root of f(x) = 2x3 + 9x2 + 7x – 6 is –3. Explain how to find the factors of the polynomial.

Mathematics
2 answers:
Luden [163]2 years ago
8 0

Answer:

the factor x + 3 from the given root –3.Use synthetic division to divide the polynomial by x + 3.Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.Factor the quotient to find the two other factors: x + 2 and 2x – 1.

Step-by-step explanation:

Law Incorporation [45]2 years ago
3 0
<span>Identify the factor x + 3 from the given root –3.</span><span>Use synthetic division to divide the polynomial by x + 3.</span><span>Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3<span>x </span>– 2.</span><span>Factor the quotient to find the two other factors: x + 2 and 2x – 1.</span>
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Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

R(x)=16.50x.

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

The company has to sell 134 750 units to break even.

6 0
2 years ago
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
DIA [1.3K]

Answer:

(a)

A to B to C =40 yards

(b)

w<40

Step-by-step explanation:

We are given

The distance between point A and point B is 15 yards

AB=15 yards

The distance between point B and point C is 25 yards

BC=25 yards

(a)

A to B to C = AB+BC

A to B to C =15+25

A to B to C =40 yards

(b)

direct distance between A to C  or AC

It must be less  than distance between A to B to C

AC< AB+BC

AC< 15+25

AC< 40 yards

w<40


8 2
2 years ago
Read 2 more answers
Consider f(x) = 1.8x – 10 and g(x) = −4. Select the equation that can be used to find the input value at which f (x ) = g (x ),
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F(x) = 1.8x - 10.....g(x) = -4

f(x) = g(x)

1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
6 0
2 years ago
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On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses th
mixer [17]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
The triangles shown below must be congruent.
timofeeve [1]

Answer: True

Step-by-step explanation: The angles given are the same AND the side given us the same. The triangle has been reflected, but the reflection is still congruent.

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2 years ago
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