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blagie [28]
3 years ago
8

Can you help me with this​

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

            = (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

            = (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

            = x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

           = x³ - 12x² + 48x - 69

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Find the area A of the polygon with the given vertices.
Natalija [7]

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the segment between A(2, 2) and B(9, 2) = \sqrt{(9-2)^2+(2-2)^2}

                                                                                     = 7 units

Length of the segment between B(9, 2) and C(9, -3) = \sqrt{(9-9)^2+(2+3)^2}

                                                                                       = 5 units

Length of the segment between C(9, -3) and D(2, -3) = \sqrt{(9-2)^2+(-3+3)^2}

                                                                                        = 7 units

Length of the segment between A(2, 2) and D(2, -3) = \sqrt{(2-2)^2+(2+3)^2}

                                                                                       = 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

                                    = 7 × 5

                                    = 35 square units

4 0
2 years ago
John bought 18 pizzas. Mitchel bought 12 pizzas. What percent of the total number of pizzas Mitchel buy?
mina [271]

Answer: 40%

Step-by-step explanation: The total number of pizzas is 12 + 18 = 30. Mitchel bought 12 of those 30 pizzas. To find the percentage you do the portion/total. Thus 12/30 = 0.4, as a proportion. To turn a proportion into a percentage simply multiply by 100. 0.4 * 100 = 40%

7 0
2 years ago
Write the equation of the line that is perpendicular to y=1/2x+3 and has a y-intercept of -4
ANTONII [103]

Answer:

y=-2x-4

Step-by-step explanation:

When an equation is perpendicular, then it is the equation's inverse. The inverse of 1/2 is -2

The y-intercept is b in y=mx+b. In this equation, b=-4

4 0
2 years ago
-2 (x+3)+5x=-39 simplify answer
Artist 52 [7]

Answer:

X = -11

Step-by-step explanation:

-2 (x+3) +5x = -39

3x -6= -39

3x = -33

3x/3 = -33/3

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8 0
3 years ago
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Answer:

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let x be the mile driven then

total charge=$3.00+[x($0.30)]

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3 years ago
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