Multiply polynomials
(6p+8)(5p-8)

Answers

Answer 1
Answer: (6p+8)(5p-8) =6p\cdot 5p-6p\cdot 8+8 \cdot 5p -8\cdot 8 =\n \n=30p^2-48p+40p-64=30p^2-8p-64


Answer 2
Answer:

The product of (6p+8)(5p-8) is 30p² - 8p - 64.

To multiply the polynomials (6p+8)(5p-8), we use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.

(6p+8)(5p-8) = 6p(5p) + 6p(-8) + 8(5p) + 8(-8)

Simplifying this expression, we get:

30p² - 48p + 40p - 64

Combining like terms, we have:

30p² - 8p - 64

Therefore, the product of (6p+8)(5p-8) is 30p² - 8p - 64.

We can see that each term in the first polynomial (6p+8) is multiplied by each term in the second polynomial (5p-8). The resulting expression is then simplified by combining like terms. The final result is a polynomial with the highest degree term of 30p², followed by -8p, and a constant term of -64. This represents the product of the two polynomials.

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The solution set for -p2 − 11p = 0 is { }.
1. Find the complementary and supplementary angles of the following36°,54°,73°​

A) Increase 30 by 13%b) Decrease 250 by 15%
c) Decrease 825 by 28%

Please show your working out

Answers

A) multiplier = 1.13
30 x 1.13 = 33.9
B) multiplier = 0.85
250 x 0.8 = 200
C) multiplier = 0.72
825 x 0.72 = 594

Plss Help ASAP!!The distance from Houston, Texas to Corpus
Christi, Texas is 210 miles. If the ratio of miles to
inches on a map is 2:0.25, how many inches
represent the distance from Houston to Corpus
Christi?

Answers

Answer:

26.25 inches

Step-by-step explanation:

2/.25

=8

210/8

=26.25

Which term best describes the statement given below? If x y and y z, then x z.

Answers

Disclaimer : The options are not provided but according to the question x=y , y=z and x=z

The best statement is described below

The term that describes the equality presented above is called Transitive Property.

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Answer:

Apex Learning answer is Syllogism

Step-by-step explanation:

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

C

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

Determine the type and number of solutions of 7x^2+3x+8=0

Answers

7x^2+3x+8=0 \n \na =7, \ b=3 ,\ c=8 \n \n\Delta =b^2 - 4ac = 3^2 -4\cdot 7\cdot 8=9-224=-215\n \n Answer : \ \Delta \ is \ negative,\ this \ gives \ two \ imaginary \ solutions


7x^2+3x+8=0\n\n \Delta=3^2-4\cdot7\cdot8=9-224=-115\ \ \Rightarrow\ \ \ no\ real\ solution\n\n\ two\ complex\ solutions\n\n\Delta=-115=115\cdot i^2\ \ \ \Rightarrow\ \ \ √(\Delta) = √(115)\ i\n\nx_1= (-b- √(\Delta) )/(2a) = (-3- √(115)\ i)/(2\cdot 7) = (-3- √(115i))/(14)\n\nx_2= (-b+ √(\Delta) )/(2a) = (-3+ √(115)\ i)/(2\cdot 7) = (-3+ √(115)\ i)/(14)

PLEASE HELP ITS DUE TMR

Answers

Answer:

3 pigs

Step-by-step explanation:

First split the shape into two rectangles to find the area. On the left you can make the rectangle 10*7 and on the right subtract 7 from 16 to get 9 so the one on the right is 9*6. Find the area of both rectangles by multiplying, which will get you 70 and 54 respectively. Add these to get 124 square meters of space in the field. Now you will have to divide it by 36 to see how many pigs can fit, which results in the answer 3.4444... Round down to get 3 pigs as you can not fit another pig in the .4444... of space.