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WARRIOR [948]
2 years ago
6

Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x

− 1).
I will mark brainliest if correct
Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

Answer:

Step-by-step explanation:

1_|   1     -2     -5    6

     <u>          1      -1   -6</u>

       1     -1      -6   0

Q(x)= x^2 - x - 6

R: 0

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Helpppppppp a mate out ;-;
svetlana [45]
For ∆RNM ~ ∆RPQ
=> RN/RP = RM/RQ
=> 7/8 = 10/14 which is wrong
So ∆RMN is not similar to ∆RQP
5 0
3 years ago
FOLLOW DIRECTIONS. Do your best. NO BRAINLIEST.
Pie

Answer:

3466

Step-by-step explanation:

9.6% of 36, 100 is 3465.6

rounded is 3466

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2 years ago
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Find the volume of a cone when given height and circumference.
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Step-by-step explanation:

V = π ∙ r2 ∙ h / 3, where π ∙ r2 is the base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used. Example 1: Find the volume of cone, whose radius is 8 cm and height is 5 cm.

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2 years ago
Medal and Fan! Estimate an 18% tip for a $63.50 meal.
kherson [118]
The answer is <span>$11.43

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7 0
2 years ago
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A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
2 years ago
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